-
1
-
-
1442278543
-
Conservation laws with discontinuous flux
-
Adimurthi and G. D. V. Gowda, Conservation laws with discontinuous flux, J. Math. (Kyoto University) 43(1) (2003), pp. 27–70.
-
(2003)
J. Math. (Kyoto University)
, vol.43
, Issue.1
, pp. 27-70
-
-
Adimurthi1
Gowda, G. D. V.2
-
3
-
-
17744376740
-
Godunov type methods for scalar conservation laws with flux function discontinuous in the space variable
-
Adimurthi, J. Jaffre and G. D. V. Gowda, Godunov type methods for scalar conservation laws with flux function discontinuous in the space variable, SIAM J. Numer. Anal. 42(1) (2004) 179–208.
-
(2004)
SIAM J. Numer. Anal
, vol.42
, Issue.1
, pp. 179-208
-
-
Adimurthi, J. Jaffre1
Gowda, G. D. V.2
-
4
-
-
85189364138
-
Conservation laws with flux function discontinuous in the space variable — II, Discontinuous convex-concave type fluxes and generalised entropy solutions
-
preprint, submitted to
-
Adimurthi, S. Mishra and G. D. V. Gowda, Conservation laws with flux function discontinuous in the space variable — II, Discontinuous convex-concave type fluxes and generalised entropy solutions, preprint, submitted to J. Comp. Appl. Math.
-
J. Comp. Appl. Math
-
-
Adimurthi, S. Mishra1
Gowda, G. D. V.2
-
5
-
-
85189310672
-
Conservation laws with flux function discontinuous in the space variable — III
-
The general case, preprint
-
Adimurthi, S. Mishra and G. D. V. Gowda, Conservation laws with flux function discontinuous in the space variable — III, The general case, preprint.
-
-
-
Adimurthi, S. Mishra1
Gowda, G. D. V.2
-
9
-
-
84900542698
-
Well-posedness in BVt and convergence of a difference scheme for continuous sedimentation in ideal clarifier thickener units
-
to appear in
-
R. Bürger, K. H. Karlsen, N. H. Risebro and J. D. Towers, Well-posedness in BVt and convergence of a difference scheme for continuous sedimentation in ideal clarifier thickener units, to appear in Numer. Math.
-
Numer. Math.
-
-
Bürger, R.1
Karlsen, K. H.2
Risebro, N. H.3
Towers, J. D.4
-
11
-
-
0001291913
-
On scalar conservation laws with point source and discontinuous flux function modeling continuous sedimentation
-
S. Diehl, On scalar conservation laws with point source and discontinuous flux function modeling continuous sedimentation, SIAM J. Math. Anal. 26(6) (1995) 1425–1451.
-
(1995)
SIAM J. Math. Anal
, vol.26
, Issue.6
, pp. 1425-1451
-
-
Diehl, S.1
-
12
-
-
0030127106
-
A conservation law with point source and discontinuous flux function modeling continuous sedimentation
-
S. Diehl, A conservation law with point source and discontinuous flux function modeling continuous sedimentation, SIAM J. Appl. Math. 56(2) (1996) 388–419.
-
(1996)
SIAM J. Appl. Math
, vol.56
, Issue.2
, pp. 388-419
-
-
Diehl, S.1
-
14
-
-
0001367271
-
Solution of Cauchy problem for a conservation law with discontinuous flux function
-
T. Gimse and N. H. Risebro, Solution of Cauchy problem for a conservation law with discontinuous flux function, SIAM J. Math. Anal. 23(3) (1992) 635–648.
-
(1992)
SIAM J. Math. Anal
, vol.23
, Issue.3
, pp. 635-648
-
-
Gimse, T.1
Risebro, N. H.2
-
15
-
-
0000935266
-
Finite difference methods for numerical computation of discontinuous solutions of the equations of fluid dynamics
-
S. Godunov, Finite difference methods for numerical computation of discontinuous solutions of the equations of fluid dynamics, Mat. Sb. 47 (1959) 271–306.
-
(1959)
Mat. Sb
, vol.47
, pp. 271-306
-
-
Godunov, S.1
-
16
-
-
43049137535
-
On the upstream mobility flux scheme for simulating two phase flow in heterogeneous porous media
-
preprint submitted to Comput. Geosci
-
J. Jaffre and S. Mishra, On the upstream mobility flux scheme for simulating two phase flow in heterogeneous porous media, preprint (2004), submitted to Comput. Geosci.
-
(2004)
-
-
Jaffre, J.1
Mishra, S.2
-
17
-
-
0032882326
-
Solving the Buckley-Leverret equation with gravity in a heteregenous porous media
-
E. Kaasschieter, Solving the Buckley-Leverret equation with gravity in a heteregenous porous media, Comput. Geosci. 3 (1999) 23–48.
-
(1999)
Comput. Geosci
, vol.3
, pp. 23-48
-
-
Kaasschieter, E.1
-
18
-
-
0442284499
-
On a nonlinear degenerate parabolic transport-diffusion equation with discontinuous coefficient
-
K. H. Karlsen, N. H. Risebro and J. D. Towers, On a nonlinear degenerate parabolic transport-diffusion equation with discontinuous coefficient, Electron. J. Differential Equations (93) (2002) 1–23.
-
(2002)
Electron. J. Differential Equations
, vol.93
, pp. 1-23
-
-
Karlsen, K. H.1
Risebro, N. H.2
Towers, J. D.3
-
19
-
-
0036034556
-
Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient
-
K. H. Karlsen, N. H. Risebro and J. D. Towers, Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient, IMA J. Numer. Anal. 22(4) (2002) 623–664.
-
(2002)
IMA J. Numer. Anal
, vol.22
, Issue.4
, pp. 623-664
-
-
Karlsen, K. H.1
Risebro, N. H.2
Towers, J. D.3
-
20
-
-
4444234405
-
1 stability for entropy solution of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients
-
1 stability for entropy solution of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients, Skr. K. Nor. Vidensk. Selsk. (3) (2003) 49 pp.
-
(2003)
Skr. K. Nor. Vidensk. Selsk
, Issue.3
, pp. 49
-
-
Karlsen, K. H.1
Risebro, N. H.2
Towers, J. D.3
-
21
-
-
85189329170
-
Convergence of the Lax-Friedrichs scheme and stability of conservation laws with a discontinuous time-dependent flux
-
K. H. Karlsen and J. D. Towers, Convergence of the Lax-Friedrichs scheme and stability of conservation laws with a discontinuous time-dependent flux, Chinese Ann. Math. Ser B.
-
Chinese Ann. Math. Ser B
-
-
Karlsen, K. H.1
Towers, J. D.2
-
23
-
-
0033196472
-
Stability of conservation laws with discontinuous coefficients
-
R. A. Klausen and N. H. Risebro, Stability of conservation laws with discontinuous coefficients, J. Differential Equations 157(1) (1999) 41–60.
-
(1999)
J. Differential Equations
, vol.157
, Issue.1
, pp. 41-60
-
-
Klausen, R. A.1
Risebro, N. H.2
-
24
-
-
0000055941
-
Convex conservation laws with discontinuous coefficients: Existence, uniqueness and asymptotic behavior
-
C. Klingenberg and N. H. Risebro, Convex conservation laws with discontinuous coefficients: Existence, uniqueness and asymptotic behavior, Commun. Partial Differential Equations 20(11–12) (1995) 1959–1990.
-
(1995)
Commun. Partial Differential Equations
, vol.20
, Issue.11–12
, pp. 1959-1990
-
-
Klingenberg, C.1
Risebro, N. H.2
-
25
-
-
84956238079
-
First order quasilinear equations in several independent variables
-
S. N. Kruzkhov, First order quasilinear equations in several independent variables, Mat. Sb 10 (1970) 217–243.
-
(1970)
Mat. Sb
, vol.10
, pp. 217-243
-
-
Kruzkhov, S. N.1
-
30
-
-
0039960089
-
An analysis for the traffic on highways with changing surface conditions
-
S. Mochon, An analysis for the traffic on highways with changing surface conditions, Math. Model. 9 (1987) 1–11.
-
(1987)
Math. Model
, vol.9
, pp. 1-11
-
-
Mochon, S.1
-
31
-
-
0037053703
-
Solutions of Hamilton-Jacobi equations and scalar conservation laws with discontinuous space-time dependence
-
D. N. Ostrov, Solutions of Hamilton-Jacobi equations and scalar conservation laws with discontinuous space-time dependence, J. Differential Equations 182(1) (2002) 51–77.
-
(2002)
J. Differential Equations
, vol.182
, Issue.1
, pp. 51-77
-
-
Ostrov, D. N.1
-
32
-
-
84990622706
-
Two new moving boundary problems for scalar conservation laws
-
D. S. Ross, Two new moving boundary problems for scalar conservation laws, Commun. Pure. Appl. Math. 41 (1988) 725–737.
-
(1988)
Commun. Pure. Appl. Math
, vol.41
, pp. 725-737
-
-
Ross, D. S.1
-
33
-
-
49049142492
-
Global solution of the Cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws
-
B. Temple, Global solution of the Cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws, Adv. Appl. Math. 3(3) (1982) 335–375.
-
(1982)
Adv. Appl. Math
, vol.3
, Issue.3
, pp. 335-375
-
-
Temple, B.1
-
34
-
-
0034449655
-
Convergence of a difference scheme for conservation laws with a discontinuous flux
-
J. D. Towers, Convergence of a difference scheme for conservation laws with a discontinuous flux, SIAM J. Numer. Anal. 38(2) (2000) 681–698.
-
(2000)
SIAM J. Numer. Anal
, vol.38
, Issue.2
, pp. 681-698
-
-
Towers, J. D.1
-
35
-
-
0035453016
-
A difference scheme for conservation laws with a discontinuous flux — the nonconvex case
-
J. D. Towers, A difference scheme for conservation laws with a discontinuous flux — the nonconvex case, SIAM J. Numer. Anal. 39(4) (2001) 1197–1218.
-
(2001)
SIAM J. Numer. Anal
, vol.39
, Issue.4
, pp. 1197-1218
-
-
Towers, J. D.1
|