-
1
-
-
78049417186
-
Existence and nonexistence of TV bounds for scalar conservation laws with discontinuous flux
-
Adimurthi, Ghoshal S. S., Dutta R., Veerappa Gowda G. D.: Existence and nonexistence of TV bounds for scalar conservation laws with discontinuous flux. Comm. Pure Appl. Math. 64(1), 84-115 (2011).
-
(2011)
Comm. Pure Appl. Math
, vol.64
, Issue.1
, pp. 84-115
-
-
Adimurthi1
Ghoshal, S.S.2
Dutta, R.3
Veerappa, G.G.D.4
-
2
-
-
1442278543
-
Conservation laws with discontinuous flux
-
Adimurthi, Veerappa Gowda G. D.: Conservation laws with discontinuous flux. J. Math. Kyoto University 43(1), 27-70 (2003).
-
(2003)
J. Math. Kyoto University
, vol.43
, Issue.1
, pp. 27-70
-
-
Adimurthi1
Veerappa, G.G.D.2
-
3
-
-
17744376740
-
Godunov-type methods for conservation laws with a flux function discontinuous in space
-
Adimurthi, Jaffré J., Veerappa Gowda G. D.: Godunov-type methods for conservation laws with a flux function discontinuous in space. SIAM J. Numer. Anal. 42(1), 179-208 (2004).
-
(2004)
SIAM J. Numer. Anal
, vol.42
, Issue.1
, pp. 179-208
-
-
Adimurthi1
Jaffré, J.2
Veerappa, G.G.D.3
-
4
-
-
85093740876
-
Optimal entropy solutions for conservation laws with discontinuous flux-functions
-
Adimurthi, Mishra S., Veerappa Gowda G. D.: Optimal entropy solutions for conservation laws with discontinuous flux-functions. J. Hyperbolic Differ. Equ. 2(4), 783-837 (2005).
-
(2005)
J. Hyperbolic Differ. Equ
, vol.2
, Issue.4
, pp. 783-837
-
-
Adimurthi1
Mishra, S.2
Veerappa, G.G.D.3
-
5
-
-
0000836987
-
Quasilinear elliptic-parabolic differential equations
-
Alt H. W., Luckhaus S.: Quasilinear elliptic-parabolic differential equations. Mat. Z. 183, 311-341 (1983).
-
(1983)
Mat. Z
, vol.183
, pp. 311-341
-
-
Alt, H.W.1
Luckhaus, S.2
-
6
-
-
30244462800
-
Existence of renormalized solutions of degenerate elliptic-parabolic problems
-
Ammar K., Wittbold P.: Existence of renormalized solutions of degenerate elliptic-parabolic problems. Proc. Roy. Soc. Edinburgh Sect. A 133(3), 477-496 (2003).
-
(2003)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.133
, Issue.3
, pp. 477-496
-
-
Ammar, K.1
Wittbold, P.2
-
7
-
-
33745894664
-
Scalar conservation laws with general boundary condition and continuous flux function
-
Ammar K., Wittbold P., Carrillo J.: Scalar conservation laws with general boundary condition and continuous flux function. J. Differ. Equ. 228(1), 111-139 (2006).
-
(2006)
J. Differ. Equ
, vol.228
, Issue.1
, pp. 111-139
-
-
Ammar, K.1
Wittbold, P.2
Carrillo, J.3
-
8
-
-
0034688497
-
1 theory of scalar conservation law with continuous flux function
-
1 theory of scalar conservation law with continuous flux function. J. Funct. Anal. 171(1), 15-33 (2000).
-
(2000)
J. Funct. Anal
, vol.171
, Issue.1
, pp. 15-33
-
-
Andreianov, B.1
Bénilan, P.2
Kruzhkov, S.N.3
-
9
-
-
77953081383
-
Finite volume schemes for locally constrained conservation laws
-
Andreianov B., Goatin P., Seguin N.: Finite volume schemes for locally constrained conservation laws. Numer. Math. 115(4), 609-645 (2010).
-
(2010)
Numer. Math
, vol.115
, Issue.4
, pp. 609-645
-
-
Andreianov, B.1
Goatin, P.2
Seguin, N.3
-
11
-
-
77955041156
-
On vanishing viscosity approximation of conservation laws with discontinuous flux
-
Andreianov B., Karlsen K. H., Risebro N. H.: On vanishing viscosity approximation of conservation laws with discontinuous flux. Netw. Heterog. Media 5(3), 617-633 (2010).
-
(2010)
Netw. Heterog. Media
, vol.5
, Issue.3
, pp. 617-633
-
-
Andreianov, B.1
Karlsen, K.H.2
Risebro, N.H.3
-
12
-
-
36148934198
-
Scalar conservation laws with nonlinear boundary conditions
-
Andreianov B., Sbihi K.: Scalar conservation laws with nonlinear boundary conditions. C. R. Acad. Sci. Paris, Ser. I 345, 431-434 (2007).
-
(2007)
C. R. Acad. Sci. Paris, Ser. I
, vol.345
, pp. 431-434
-
-
Andreianov, B.1
Sbihi, K.2
-
13
-
-
17744396698
-
Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies
-
Audusse E., Perthame B.: Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies. Proc. Roy. Soc. Edinburgh A 135(2), 253-265 (2005).
-
(2005)
Proc. Roy. Soc. Edinburgh A
, vol.135
, Issue.2
, pp. 253-265
-
-
Audusse, E.1
Perthame, B.2
-
14
-
-
33644811017
-
Existence and uniqueness of entropy solution of scalar conservation laws with a flux function involving discontinuous coefficients
-
Bachmann F., Vovelle J.: Existence and uniqueness of entropy solution of scalar conservation laws with a flux function involving discontinuous coefficients. Comm. Partial Differ. Equ. 31, 371-395 (2006).
-
(2006)
Comm. Partial Differ. Equ
, vol.31
, pp. 371-395
-
-
Bachmann, F.1
Vovelle, J.2
-
16
-
-
84891642927
-
First order quasilinear equations with boundary conditions
-
Bardos C., LeRoux A.-Y., Nédélec J.-C.: First order quasilinear equations with boundary conditions. Comm. Partial Differ. Equ. 4(9), 1017-1034 (1979).
-
(1979)
Comm. Partial Differ. Equ
, vol.4
, Issue.9
, pp. 1017-1034
-
-
Bardos, C.1
Leroux, A.-Y.2
Nédélec, J.-C.3
-
20
-
-
50049088350
-
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model
-
Bürger R., García A., Karlsen K. H., Towers J. D.: Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Netw. Heterog. Media 3, 1-41 (2008).
-
(2008)
Netw. Heterog. Media
, vol.3
, pp. 1-41
-
-
Bürger, R.1
García, A.2
Karlsen, K.H.3
Towers, J.D.4
-
21
-
-
21244469459
-
On conservation laws with discontinuous flux
-
(Eds. Wang Y. and Hutter K.) Shaker Verlag, Aachen
-
Bürger, R., Karlsen, K. H., Mishra, S., Towers, J. D.: On conservation laws with discontinuous flux. Trends in Applications of Mathematics to Mechanics (Eds. Wang Y. and Hutter K.) Shaker Verlag, Aachen, 75-84, 2005.
-
(2005)
Trends in Applications of Mathematics to Mechanics
, pp. 75-84
-
-
Bürger, R.1
Karlsen, K.H.2
Mishra, S.3
Towers, J.D.4
-
22
-
-
65949091995
-
An Engquist-Osher type scheme for conservation laws with discontinuous flux adapted to flux connections
-
Bürger R., Karlsen K. H., Towers J.: An Engquist-Osher type scheme for conservation laws with discontinuous flux adapted to flux connections. SIAM J. Numer. Anal. 47, 1684-1712 (2009).
-
(2009)
SIAM J. Numer. Anal
, vol.47
, pp. 1684-1712
-
-
Bürger, R.1
Karlsen, K.H.2
Towers, J.3
-
23
-
-
77952073981
-
Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. I. Convergence to the optimal entropy solution
-
Cancès C.: Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. I. Convergence to the optimal entropy solution. SIAM J. Math. Anal. 42(2), 946-971 (2010).
-
(2010)
SIAM J. Math. Anal
, vol.42
, Issue.2
, pp. 946-971
-
-
Cancès, C.1
-
24
-
-
77952066955
-
Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. II. Nonclassical shocks to model oil-trapping
-
Cancès C.: Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. II. Nonclassical shocks to model oil-trapping. SIAM J. Math. Anal. 42(2), 972-995 (2010).
-
(2010)
SIAM J. Math. Anal
, vol.42
, Issue.2
, pp. 972-995
-
-
Cancès, C.1
-
25
-
-
77955024616
-
On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types
-
Cancès C.: On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types. Netw. Heterog. Media 5(3), 635-647 (2010).
-
(2010)
Netw. Heterog. Media
, vol.5
, Issue.3
, pp. 635-647
-
-
Cancès, C.1
-
26
-
-
0033407951
-
Entropy solutions for nonlinear degenerate problems
-
Carrillo J.: Entropy solutions for nonlinear degenerate problems. Arch. Ration. Mech. Anal. 147(4), 269-361 (1999).
-
(1999)
Arch. Ration. Mech. Anal
, vol.147
, Issue.4
, pp. 269-361
-
-
Carrillo, J.1
-
27
-
-
79958824800
-
S. N. Kruzhkov's lectures on first-order quasilinear PDEs
-
(Eds. Emmrich E. and Wittbold P.),de Gruyter
-
Chechkin, G. A., Goritsky, A. Yu.: S. N. Kruzhkov's lectures on first-order quasilinear PDEs. (Eds. Emmrich E. and Wittbold P.) Anal. Numer. Asp. Partial Differ. Equ., de Gruyter, 2009.
-
(2009)
Anal. Numer. Asp. Partial Differ. Equ
-
-
Chechkin, G.A.1
Goritsky, A.Y.2
-
28
-
-
53349167256
-
Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems
-
Chen G.-Q., Even N., Klingenberg C.: Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems. J. Differ. Equ. 245(11), 3095-3126 (2008).
-
(2008)
J. Differ. Equ
, vol.245
, Issue.11
, pp. 3095-3126
-
-
Chen, G.-Q.1
Even, N.2
Klingenberg, C.3
-
29
-
-
0033450362
-
Divergence-measure fields and hyperbolic conservationlaws
-
Chen G.-Q., Frid H.: Divergence-measure fields and hyperbolic conservationlaws. Arch. Ration. Mech. Anal. 147, 89-118 (1999).
-
(1999)
Arch. Ration. Mech. Anal
, vol.147
, pp. 89-118
-
-
Chen, G.-Q.1
Frid, H.2
-
30
-
-
0034373046
-
Initial layers and uniqueness of weak entropy solutions to hyperbolic conservation laws
-
Chen G.-Q., Rascle M.: Initial layers and uniqueness of weak entropy solutions to hyperbolic conservation laws. Arch. Ration. Mech. Anal. 153, 205-220 (2000).
-
(2000)
Arch. Ration. Mech. Anal
, vol.153
, pp. 205-220
-
-
Chen, G.-Q.1
Rascle, M.2
-
31
-
-
33846295233
-
A well posed conservation law with a variable unilateral constraint
-
Colombo R. M., Goatin P.: A well posed conservation law with a variable unilateral constraint. J. Differ. Equ. 234(2), 654-675 (2007).
-
(2007)
J. Differ. Equ
, vol.234
, Issue.2
, pp. 654-675
-
-
Colombo, R.M.1
Goatin, P.2
-
32
-
-
51249187580
-
The semigroup approach to first-order quasilinear equations in several space variables
-
Crandall M. G.: The semigroup approach to first-order quasilinear equations in several space variables. Israel J. Math. 12, 108-132 (1972).
-
(1972)
Israel J. Math
, vol.12
, pp. 108-132
-
-
Crandall, M.G.1
-
33
-
-
84966243152
-
Some relations between nonexpansive and order preserving mappings
-
Crandall M. G., Tartar L.: Some relations between nonexpansive and order preserving mappings. Proc. Am. Math. Soc. 78(3), 385-390 (1980).
-
(1980)
Proc. Am. Math. Soc
, vol.78
, Issue.3
, pp. 385-390
-
-
Crandall, M.G.1
Tartar, L.2
-
34
-
-
0001291913
-
On scalar conservation laws with point source and discontinuous flux function
-
Diehl S.: On scalar conservation laws with point source and discontinuous flux function. SIAM J. Math. Anal. 26(6), 1425-1451 (1995).
-
(1995)
SIAM J. Math. Anal
, vol.26
, Issue.6
, pp. 1425-1451
-
-
Diehl, S.1
-
35
-
-
0030530103
-
Scalar conservation laws with discontinuous flux function. I
-
The viscous profile condition. II. On the stability of the viscous profiles,23-44
-
Diehl, S.: Scalar conservation laws with discontinuous flux function. I. The viscous profile condition. II. On the stability of the viscous profiles. Commun. Math. Phys. 176(1), 23-44 and 45-71 (1996).
-
(1996)
Commun. Math. Phys
, vol.176
, Issue.1
, pp. 45-71
-
-
Diehl, S.1
-
36
-
-
0030127106
-
A conservation law with point source and discontinuous flux function modelling continuous sedimentation
-
Diehl S.: A conservation law with point source and discontinuous flux function modelling continuous sedimentation. SIAM J. Appl. Math. 56(2), 388-419 (1996).
-
(1996)
SIAM J. Appl. Math
, vol.56
, Issue.2
, pp. 388-419
-
-
Diehl, S.1
-
37
-
-
65449143904
-
A uniqueness condition for non-linear convection-diffusion equations with discontinuous coefficients
-
Diehl S.: A uniqueness condition for non-linear convection-diffusion equations with discontinuous coefficients. J. Hyperbolic Differ. Equ. 6(1), 127-159 (2009).
-
(2009)
J. Hyperbolic Differ. Equ
, vol.6
, Issue.1
, pp. 127-159
-
-
Diehl, S.1
-
38
-
-
70350322945
-
Finite volume methods
-
Handb. Numer. Anal., VII. North-Holland, Amsterdam
-
Eymard, R., Gallouët, T., Herbin, R.: Finite volume methods. Handbook of numerical analysis, Vol. VII, Handb. Numer. Anal., VII. North-Holland, Amsterdam, 713-1020, 2000.
-
(2000)
Handbook of numerical analysis
, vol.VII
, pp. 713-1020
-
-
Eymard, R.1
Gallouët, T.2
Herbin, R.3
-
39
-
-
0347174022
-
On the convergence of the parabolic approximation of a conservation law in several space dimensions
-
Gallouët T., Hubert F.: On the convergence of the parabolic approximation of a conservation law in several space dimensions. Chin. Ann. Math. Ser. B 20(1), 7-10 (1999).
-
(1999)
Chin. Ann. Math. Ser. B
, vol.20
, Issue.1
, pp. 7-10
-
-
Gallouët, T.1
Hubert, F.2
-
40
-
-
55849087237
-
Conservation laws with discontinuous flux
-
Garavello M., Natalini R., Piccoli B., Terracina A.: Conservation laws with discontinuous flux. Netw. Heterog. Media 2, 159-179 (2007).
-
(2007)
Netw. Heterog. Media
, vol.2
, pp. 159-179
-
-
Garavello, M.1
Natalini, R.2
Piccoli, B.3
Terracina, A.4
-
41
-
-
0000247179
-
Some problems in the theory of quasilinear equations
-
(Russian),14(2), 87-158, 1959; English tr. in Am. Math. Soc. Transl. Ser
-
Gelfand, I. M.: Some problems in the theory of quasilinear equations. (Russian) Uspekhi Mat. Nauk14(2), 87-158, 1959; English tr. in Am. Math. Soc. Transl. Ser. 29(2), 295-381 (1963).
-
(1963)
Uspekhi Mat. Nauk
, vol.29
, Issue.2
, pp. 295-381
-
-
Gelfand, I.M.1
-
42
-
-
0002874409
-
Riemann problems with a discontinuous flux function
-
I, Uppsala, 1990, Studentlitteratur, Lund
-
Gimse, T., Risebro, N. H.: Riemann problems with a discontinuous flux function. Proceedings of Third International Conference on Hyperbolic Problems, Vol. I, II Uppsala, 1990, 488-502, Studentlitteratur, Lund, 1991.
-
(1991)
Proceedings of Third International Conference on Hyperbolic Problems
, vol.II
, pp. 488-502
-
-
Gimse, T.1
Risebro, N.H.2
-
43
-
-
0001367271
-
Solution of the Cauchy problem for a conservation law with a discontinuous flux function
-
Gimse T., Risebro N. H.: Solution of the Cauchy problem for a conservation law with a discontinuous flux function. SIAM J. Math. Anal. 23(3), 635-648 (1992).
-
(1992)
SIAM J. Math. Anal
, vol.23
, Issue.3
, pp. 635-648
-
-
Gimse, T.1
Risebro, N.H.2
-
44
-
-
85067915698
-
-
In: Applied Mathematical Sciences, Springer, New York
-
Holden, H., Risebro, N. H.: Front tracking for hyperbolic conservation laws. In: Applied Mathematical Sciences, vol. 152. Springer, New York, 2002.
-
(2002)
Front tracking for hyperbolic conservation laws
, vol.152
-
-
Holden, H.1
Risebro, N.H.2
-
46
-
-
68949141394
-
Some scalar conservation laws with discontinuous flux
-
Jimenez J.: Some scalar conservation laws with discontinuous flux. Int. J. Evol. Equ. 2(3), 297-315 (2007).
-
(2007)
Int. J. Evol. Equ
, vol.2
, Issue.3
, pp. 297-315
-
-
Jimenez, J.1
-
47
-
-
39749203549
-
Entropy formulations for a class of scalar conservations laws with space-discontinuous flux functions in a bounded domain
-
Jimenez J., Lévi L.: Entropy formulations for a class of scalar conservations laws with space-discontinuous flux functions in a bounded domain. J. Engrg. Math. 60(3-4), 319-335 (2008).
-
(2008)
J. Engrg. Math
, vol.60
, Issue.3-4
, pp. 319-335
-
-
Jimenez, J.1
Lévi, L.2
-
48
-
-
0032882326
-
Solving the Buckley-Leverett equation with gravity in a heterogeneous porous medium
-
Kaasschieter E. F.: Solving the Buckley-Leverett equation with gravity in a heterogeneous porous medium. Comput. Geosci. 3, 23-48 (1999).
-
(1999)
Comput. Geosci
, vol.3
, pp. 23-48
-
-
Kaasschieter, E.F.1
-
49
-
-
4444361444
-
Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux
-
Karlsen K. H., Towers J. D.: Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux. Chin. Ann. Math. Ser. B. 25(3), 287-318 (2004).
-
(2004)
Chin. Ann. Math. Ser. B
, vol.25
, Issue.3
, pp. 287-318
-
-
Karlsen, K.H.1
Towers, J.D.2
-
50
-
-
52449127766
-
On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient
-
pages No. 93,(electronic)
-
Karlsen, K. H., Risebro, N. H., Towers, J. D.: On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. Electron J. Differ. Equ., pages No. 93, 23 pp. (electronic), (2002).
-
(2002)
Electron J. Differ. Equ
, pp. 23
-
-
Karlsen, K.H.1
Risebro, N.H.2
Towers, J.D.3
-
51
-
-
0036034556
-
Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient
-
Karlsen K. H., Risebro N. H., Towers J. D.: Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. IMA J. Numer. Anal. 22, 623-664 (2002).
-
(2002)
IMA J. Numer. Anal
, vol.22
, pp. 623-664
-
-
Karlsen, K.H.1
Risebro, N.H.2
Towers, J.D.3
-
52
-
-
4444234405
-
1 stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients
-
1 stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. Skr. K. Nor. Vidensk. Selsk. 3, 1-49 (2003).
-
(2003)
Skr. K. Nor. Vidensk. Selsk
, vol.3
, pp. 1-49
-
-
Karlsen, K.H.1
Risebro, N.H.2
Towers, J.D.3
-
53
-
-
0000055941
-
Convex conservation laws with discontinuous coefficients: Existence, uniqueness and asymptotic behavior
-
Klingenberg C., Risebro N. H.: Convex conservation laws with discontinuous coefficients: Existence, uniqueness and asymptotic behavior. Comm. Partial Differ. Equ. 20(11-12), 1959-1990 (1995).
-
(1995)
Comm. Partial Differ. Equ
, vol.20
, Issue.11-12
, pp. 1959-1990
-
-
Klingenberg, C.1
Risebro, N.H.2
-
54
-
-
84956238079
-
First order quasi-linear equations in several independent variables
-
Kruzhkov S. N.: First order quasi-linear equations in several independent variables. Math. USSR Sbornik 10(2), 217-243 (1970).
-
(1970)
Math. USSR Sbornik
, vol.10
, Issue.2
, pp. 217-243
-
-
Kruzhkov, S.N.1
-
55
-
-
0002927851
-
The Cauchy problem for first order quasilinear equations in the case when the domain of dependence on the initial data is infinite (Russian)
-
Kruzhkov S. N., Hildebrand F.: The Cauchy problem for first order quasilinear equations in the case when the domain of dependence on the initial data is infinite (Russian). Vestnik Moskov. Univ. Ser. I Mat. Meh. 29, 93-100 (1974).
-
(1974)
Vestnik Moskov. Univ. Ser. I Mat. Meh
, vol.29
, pp. 93-100
-
-
Kruzhkov, S.N.1
Hildebrand, F.2
-
56
-
-
0002868233
-
First-order quasilinear conservation laws with infinite initial data dependence area
-
(Russian),English tr. in Sov. Math. Dokl. 42(2), 316-321 (1991)
-
Kruzhkov, S. N., Panov, E. Yu.: First-order quasilinear conservation laws with infinite initial data dependence area (Russian). Dokl. Akad. Nauk URSS314(1), 79-84, 1990; English tr. in Sov. Math. Dokl. 42(2), 316-321 (1991).
-
(1990)
Dokl. Akad. Nauk URSS
, vol.314
, Issue.1
, pp. 79-84
-
-
Kruzhkov, S.N.1
Panov, E.Y.2
-
57
-
-
34547305545
-
Strong traces for solutions to scalar conservation laws with general flux
-
Kwon Y.-S., Vasseur A.: Strong traces for solutions to scalar conservation laws with general flux. Arch. Ration. Mech. Anal. 185(3), 495-513 (2007).
-
(2007)
Arch. Ration. Mech. Anal
, vol.185
, Issue.3
, pp. 495-513
-
-
Kwon, Y.-S.1
Vasseur, A.2
-
58
-
-
0003906591
-
-
Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, Basel,The theory of classical and nonclassical shock waves
-
LeFloch, P. G.: Hyperbolic systems of conservation laws. Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, Basel, 2002. The theory of classical and nonclassical shock waves.
-
(2002)
Hyperbolic systems of conservation laws
-
-
LeFloch, P.G.1
-
60
-
-
84968518243
-
A kinetic formulation of multidimensional scalar conservation laws and related equations
-
Lions P.-L., Perthame B., Tadmor E.: A kinetic formulation of multidimensional scalar conservation laws and related equations. J. Am. Math. Soc. 7(1), 169-191 (1994).
-
(1994)
J. Am. Math. Soc
, vol.7
, Issue.1
, pp. 169-191
-
-
Lions, P.-L.1
Perthame, B.2
Tadmor, E.3
-
62
-
-
1642413452
-
Uniqueness of entropy solutions for nonlinear degenerate parabolic problems
-
Maliki M., Touré H.: Uniqueness of entropy solutions for nonlinear degenerate parabolic problems. J. Evol. Equ. 3(4), 603-622 (2003).
-
(2003)
J. Evol. Equ
, vol.3
, Issue.4
, pp. 603-622
-
-
Maliki, M.1
Touré, H.2
-
64
-
-
79958806814
-
Existence and stability of a multidimensional scalar conservation law with discontinuous flux
-
Mitrovič D.: Existence and stability of a multidimensional scalar conservation law with discontinuous flux. Networks Het. Media 5(1), 163-188 (2010).
-
(2010)
Networks Het. Media
, vol.5
, Issue.1
, pp. 163-188
-
-
Mitrovič, D.1
-
65
-
-
0001354424
-
Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation
-
Olenik O. A.: Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation. Amer. Math. Soc Transl. Ser. 2 33, 285-290 (1963).
-
(1963)
Amer. Math. Soc Transl. Ser. 2
, vol.33
, pp. 285-290
-
-
Olenik, O.A.1
-
66
-
-
0037053703
-
Solutions of Hamilton-Jacobi equations and scalar conservation laws with discontinuous space-time dependence
-
Ostrov D. N.: Solutions of Hamilton-Jacobi equations and scalar conservation laws with discontinuous space-time dependence. J. Differ. Equ. 182(1), 51-77 (2002).
-
(2002)
J. Differ. Equ
, vol.182
, Issue.1
, pp. 51-77
-
-
Ostrov, D.N.1
-
67
-
-
0000234101
-
Initial-boundary value problem for a scalar conservation law
-
Otto F.: Initial-boundary value problem for a scalar conservation law. C. R. Acad. Sci. Paris Sér. I Math. 322(8), 729-734 (1996).
-
(1996)
C. R. Acad. Sci. Paris Sér. I Math
, vol.322
, Issue.8
, pp. 729-734
-
-
Otto, F.1
-
68
-
-
0030579044
-
1-contraction and uniqueness for quasilinear elliptic-parabolic equations
-
1-contraction and uniqueness for quasilinear elliptic-parabolic equations. J. Differ. Equ. 131(1), 20-38 (1996).
-
(1996)
J. Differ. Equ
, vol.131
, Issue.1
, pp. 20-38
-
-
Otto, F.1
-
69
-
-
67349084976
-
Strong measure-valued solutions of the Cauchy problem for a first-order quasilinear equation with a bounded measure-valued initial function
-
Panov E. Yu.: Strong measure-valued solutions of the Cauchy problem for a first-order quasilinear equation with a bounded measure-valued initial function. Moscow Univ. Math. Bull. 48(1), 18-21 (1993).
-
(1993)
Moscow Univ. Math. Bull
, vol.48
, Issue.1
, pp. 18-21
-
-
Panov, E.Y.1
-
70
-
-
0002610168
-
On sequences of measure valued solutions for a first order quasilinear equation (Russian)
-
Engl. tr. in Russian Acad. Sci. Sb. Math. 81(1), 211-227 (1995)
-
Panov, E. Yu.: On sequences of measure valued solutions for a first order quasilinear equation (Russian). Mat. Sb. 185(2), 87-106 1994; Engl. tr. in Russian Acad. Sci. Sb. Math. 81(1), 211-227 (1995).
-
(1994)
Mat. Sb
, vol.185
, Issue.2
, pp. 87-106
-
-
Panov, E.Y.1
-
71
-
-
34547320149
-
Existence of strong traces for generalized solutions of multidimensional scalar conservation laws
-
Panov E. Yu.: Existence of strong traces for generalized solutions of multidimensional scalar conservation laws. J. Hyperbolic Differ. Equ. 2(4), 885-908 (2005).
-
(2005)
J. Hyperbolic Differ. Equ
, vol.2
, Issue.4
, pp. 885-908
-
-
Panov, E.Y.1
-
72
-
-
37249074056
-
Existence of strong traces for quasi-solutions of multidimensional conservation laws
-
Panov E. Yu.: Existence of strong traces for quasi-solutions of multidimensional conservation laws. J. Hyperbolic Differ. Equ. 4(4), 729-770 (2007).
-
(2007)
J. Hyperbolic Differ. Equ
, vol.4
, Issue.4
, pp. 729-770
-
-
Panov, E.Y.1
-
73
-
-
72449172113
-
Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux
-
Panov E. Yu.: Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux. Arch. Ration. Mech. Anal. 195(2), 643-673 (2009).
-
(2009)
Arch. Ration. Mech. Anal
, vol.195
, Issue.2
, pp. 643-673
-
-
Panov, E.Y.1
-
74
-
-
70350070886
-
On existence and uniqueness of entropy solutions to the Cauchy problem for a conservation law with discontinuous flux
-
Panov E. Yu.: On existence and uniqueness of entropy solutions to the Cauchy problem for a conservation law with discontinuous flux. J. Hyperbolic Differ. Equ. 6(3), 525-548 (2009).
-
(2009)
J. Hyperbolic Differ. Equ
, vol.6
, Issue.3
, pp. 525-548
-
-
Panov, E.Y.1
-
75
-
-
0037642096
-
-
volume 21 of Oxford Lecture Series in Mathematics and its Applications. Oxford University Press, Oxford
-
Perthame, B.: Kinetic formulation of conservation laws, volume 21 of Oxford Lecture Series in Mathematics and its Applications. Oxford University Press, Oxford, 2002.
-
(2002)
Kinetic formulation of conservation laws
-
-
Perthame, B.1
-
76
-
-
84980136413
-
1-contractive semigroup
-
1-contractive semigroup. Comm. Pure Appl. Math. 24(1), 125-132 (1971).
-
(1971)
Comm. Pure Appl. Math
, vol.24
, Issue.1
, pp. 125-132
-
-
Quinn, B.1
-
77
-
-
0037295910
-
Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients
-
Seguin N., Vovelle J.: Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients. Math. Models Methods Appl. Sci. 13(2), 221-257 (2003).
-
(2003)
Math. Models Methods Appl. Sci
, vol.13
, Issue.2
, pp. 221-257
-
-
Seguin, N.1
Vovelle, J.2
-
78
-
-
0000870962
-
Measure-valued solution of scalar conservation laws with boundary conditions
-
Szepessy A.: Measure-valued solution of scalar conservation laws with boundary conditions. Arch. Ration. Mech. Anal. 107(2), 182-193 (1989).
-
(1989)
Arch. Ration. Mech. Anal
, vol.107
, Issue.2
, pp. 182-193
-
-
Szepessy, A.1
-
79
-
-
49049142492
-
Global solution of the Cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws
-
Temple B.: Global solution of the Cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws. Adv. Appl. Math. 3(3), 335-375 (1982).
-
(1982)
Adv. Appl. Math
, vol.3
, Issue.3
, pp. 335-375
-
-
Temple, B.1
-
80
-
-
0034449655
-
Convergence of a difference scheme for conservation laws with a discontinuous flux
-
Towers J. D.: Convergence of a difference scheme for conservation laws with a discontinuous flux. SIAM J. Numer. Anal. 38(2), 681-698 (2000).
-
(2000)
SIAM J. Numer. Anal
, vol.38
, Issue.2
, pp. 681-698
-
-
Towers, J.D.1
-
81
-
-
0035453016
-
A difference scheme for conservation laws with a discontinuous flux: the nonconvex case
-
Towers J. D.: A difference scheme for conservation laws with a discontinuous flux: the nonconvex case. SIAM J. Numer. Anal. 39(4), 1197-1218 (2001).
-
(2001)
SIAM J. Numer. Anal
, vol.39
, Issue.4
, pp. 1197-1218
-
-
Towers, J.D.1
-
82
-
-
0011565535
-
Dirichlet problem for a nonlinear conservation law
-
Vallet G.: Dirichlet problem for a nonlinear conservation law. Rev. Math. Comput. 13(1), 231-250 (2000).
-
(2000)
Rev. Math. Comput
, vol.13
, Issue.1
, pp. 231-250
-
-
Vallet, G.1
-
83
-
-
23044529677
-
Strong traces of multidimensional scalar conservation laws
-
Vasseur A.: Strong traces of multidimensional scalar conservation laws. Arch. Ration. Mech. Anal. 160(3), 181-193 (2001).
-
(2001)
Arch. Ration. Mech. Anal
, vol.160
, Issue.3
, pp. 181-193
-
-
Vasseur, A.1
-
84
-
-
0001168879
-
The spaces BV and quasi-linear equations
-
Vol'pert A. I.: The spaces BV and quasi-linear equations. Math. USSR Sbornik 2(2), 225-267 (1967).
-
(1967)
Math. USSR Sbornik
, vol.2
, Issue.2
, pp. 225-267
-
-
Vol'Pert, A.I.1
|