-
1
-
-
3142726409
-
Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity
-
MR1843587 (2002j:35138)
-
DANIELE ANDREUCCI and ANATOLI F. TEDEEV, Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity, Interfaces Free Bound. 3 (2001), 233-264. MR1843587 (2002j:35138)
-
(2001)
Interfaces Free Bound.
, vol.3
, pp. 233-264
-
-
Andreucci, D.1
Tedeev, A.F.2
-
2
-
-
3142757012
-
Doubly nonlinear thin-film equations in one space dimension
-
MR2073506 (2005e:35106)
-
LIDIA ANSINI and LORENZO GIACOMELLI, Doubly nonlinear thin-film equations in one space dimension, Arch. Ration. Mech. Anal. 173 (2004), 89-131, http://dx.doi.org/10.1007/s00205-004-0313-x. MR2073506 (2005e:35106)
-
(2004)
Arch. Ration. Mech. Anal.
, vol.173
, pp. 89-131
-
-
Ansini, L.1
Giacomelli, L.2
-
3
-
-
21844510002
-
Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
-
MR1328475 (96b:35116)
-
ELENA BERETTA, MICHIEL BERTSCH, and ROBERTA DAL PASSO, Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation, Arch. Rational Mech. Anal. 129 (1995), 175-200, http://dx.doi.org/10.1007/BF00379920. MR1328475 (96b:35116)
-
(1995)
Arch. Rational Mech. Anal.
, vol.129
, pp. 175-200
-
-
Beretta, E.1
Bertsch, M.2
Dal Passo, R.3
-
4
-
-
0041098559
-
Integral inequalities with applications to nonlinear degenerate parabolic equations
-
(T. S. . Angell, L. P. . Cook, R. E. . Kleinman, and W. E. . Olmstead, eds.), SIAM, Philadelphia
-
FRANCISCO BERNIS, Integral inequalities with applications to nonlinear degenerate parabolic equations, Nonlinear Boundary Value Problems (T. S. . Angell, L. P. . Cook, R. E. . Kleinman, and W. E. . Olmstead, eds.), SIAM, Philadelphia, 1996.
-
(1996)
Nonlinear Boundary Value Problems
-
-
Bernis, F.1
-
5
-
-
0000324185
-
Qualitative properties for some nonlinear higher order degenerate parabolic equations
-
MR985928 (90m:35014)
-
_, Qualitative properties for some nonlinear higher order degenerate parabolic equations, Houston J. Math. 14 (1988), 319-352. MR985928 (90m:35014)
-
(1988)
Houston J. Math.
, vol.14
, pp. 319-352
-
-
-
6
-
-
84974488955
-
Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption
-
MR877889 (88e:35096)
-
_, Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption, Proc. Roy. Soc. Edinburgh Sect. A 104 (1986), 1-19. MR877889 (88e:35096)
-
(1986)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.104
, pp. 1-19
-
-
-
7
-
-
0000254565
-
Finite speed of propagation and continuity of the interface for thin viscous flows
-
MR1401398 (97e:35095)
-
_, Finite speed of propagation and continuity of the interface for thin viscous flows, Adv. Differential Equations 1 (1996), 337-368. MR1401398 (97e:35095)
-
(1996)
Adv. Differential Equations
, vol.1
, pp. 337-368
-
-
-
8
-
-
0001057861
-
Finite speed of propagation for thin viscous flows when 2 ≤ n < 3
-
MR1396660 (97d:76012) (English, with English and French summaries)
-
_, Finite speed of propagation for thin viscous flows when 2 ≤ n < 3, C. R. Acad. Sci. Paris Sér. I Math. 322 (1996), 1169-1174. MR1396660 (97d:76012) (English, with English and French summaries)
-
(1996)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.322
, pp. 1169-1174
-
-
-
9
-
-
0038919593
-
Undercompressive shocks in thin film flows
-
MR1725916 (2001e:76042)
-
ANDREA L. BERTOZZI, ANDREAS MÜNCH, and MICHAEL SHEARER, Undercompressive shocks in thin film flows, Phys. D 134 (1999), 431-464. MR1725916 (2001e:76042)
-
(1999)
Phys. D
, vol.134
, pp. 431-464
-
-
Bertozzi, A.L.1
Münch, A.2
Shearer, M.3
-
10
-
-
0035613891
-
Stability of compressive and undercompressive thin film travelling waves
-
MR1936039 (2003j:76012)
-
ANDREA L. BERTOZZI, ANDREAS MÜNCH, MICHAEL SHEARER, and KEVIN ZUMBRUN, Stability of compressive and undercompressive thin film travelling waves, European J. Appl. Math. 12 (2001), 253-291, http://dx.doi.org/10.1017/ S0956792501004466. MR1936039 (2003j:76012)
-
(2001)
European J. Appl. Math.
, vol.12
, pp. 253-291
-
-
Bertozzi, A.L.1
Münch, A.2
Shearer, M.3
Zumbrun, K.4
-
11
-
-
0040488514
-
The lubrication approximation for thin viscous films: Regularity and long-time behavior of weak solutions
-
MR1371925 (97b:35114) (English, English summary)
-
ANDREA L. BERTOZZI and MARY C. PUGH, The lubrication approximation for thin viscous films: regularity and long-time behavior of weak solutions, Comm. Pure Appl. Math. 49 (1996), 85-123, http://dx.doi.org/10.1002/(SICI)1097- 0312(199602)49:2¡85::AID-CPA1¿3.3.CO;2-V. MR1371925 (97b:35114) (English, English summary)
-
(1996)
Comm. Pure Appl. Math.
, vol.49
, pp. 85-123
-
-
Bertozzi, A.L.1
Pugh, M.C.2
-
12
-
-
0034353687
-
Existence of undercompressive traveling waves in thin film equations
-
(electronic). MR1766511 (2001g:35215)
-
ANDREA L. BERTOZZI and MICHAEL SHEARER, Existence of undercompressive traveling waves in thin film equations, SIAM J. Math. Anal. 32 (2000), 194-213 (electronic), http://dx.doi.org/10.1137/S0036141099350894. MR1766511 (2001g:35215)
-
(2000)
SIAM J. Math. Anal.
, vol.32
, pp. 194-213
-
-
Bertozzi, A.L.1
Shearer, M.2
-
13
-
-
84894616360
-
The thin viscous flow equation in higher space dimensions
-
MR1751951 (2001a:35082)
-
MICHIEL BERTSCH, ROBERTA DAL PASSO, HARALD GARCKE, and GÜNTHER GRÜN, The thin viscous flow equation in higher space dimensions, Adv. Differential Equations 3 (1998), 417-440. MR1751951 (2001a:35082)
-
(1998)
Adv. Differential Equations
, vol.3
, pp. 417-440
-
-
Bertsch, M.1
Dal Passo, R.2
Garcke, H.3
Grün, G.4
-
14
-
-
85129713186
-
A waiting time phenomenon for thin film equations
-
MR1895718 (2003m:35111)
-
ROBERTA DAL PASSO, LORENZO GIACOMELLI, and GÜNTHER GRÜN, A waiting time phenomenon for thin film equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 30 (2001), 437-463. MR1895718 (2003m:35111)
-
(2001)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.30
, pp. 437-463
-
-
Dal Passo, R.1
Giacomelli, L.2
Grün, G.3
-
15
-
-
3142705918
-
Waiting time phenomena for degenerate parabolic equations - A unifying approach
-
(Stefan Hildebrandt Hermann Karcher, eds.), Springer, Berlin, ISBN ISBN 3-540-44051-8. MR2 008 360
-
_, Waiting time phenomena for degenerate parabolic equations - a unifying approach, Geometric Analysis and Nonlinear Partial Differential Equations (Stefan Hildebrandt Hermann Karcher, eds.), Springer, Berlin, 2003, pp. 637-648, ISBN ISBN 3-540-44051-8. MR2 008 360
-
(2003)
Geometric Analysis and Nonlinear Partial Differential Equations
, pp. 637-648
-
-
-
16
-
-
0038339352
-
The thin film equation with nonlinear diffusion
-
MR1865938 (2002k:35178)
-
ROBERTA DAL PASSO, LORENZO GIACOMELLI, and ANDREY E. SHISHKOV, The thin film equation with nonlinear diffusion, Comm. Partial Differential Equations 26 (2001), 1509-1557, http://dx.doi.org/10.1081/PDE-100107451. MR1865938 (2002k:35178)
-
(2001)
Comm. Partial Differential Equations
, vol.26
, pp. 1509-1557
-
-
Dal Passo, R.1
Giacomelli, L.2
Shishkov, A.E.3
-
17
-
-
1842695585
-
Wetting: Statics and dynamics
-
PIERRE-GILLES DE GENNES, Wetting: Statics and dynamics, Rev. Mod. Phys. 57 (1985), 827-863.
-
(1985)
Rev. Mod. Phys.
, vol.57
, pp. 827-863
-
-
De Gennes, P.-G.1
-
18
-
-
0003419993
-
-
North-Holland Publishing Co., Amsterdam. MR0252806 (40 #6023) (Translated from the Russian by Scripta Technica, London)
-
SAMUIL D. ÈǏDEĹMAN, Parabolic systems, North-Holland Publishing Co., Amsterdam, 1969. MR0252806 (40 #6023) (Translated from the Russian by Scripta Technica, London)
-
(1969)
Parabolic Systems
-
-
Èǐdeĺman, S.D.1
-
19
-
-
84875091475
-
-
private communication
-
VICTOR A. GALAKTIONOV, private communication.
-
-
-
Galaktionov, V.A.1
-
20
-
-
0042859866
-
A fourth-order degenerate parabolic equation describing thin viscous flows over an inclined plane
-
MR1751343 (2000k:35155)
-
LORENZO GIACOMELLI, A fourth-order degenerate parabolic equation describing thin viscous flows over an inclined plane, Appl. Math. Lett. 12 (1999), 107-111, http://dx.doi.org/10.1016/S0893-9659(99)00130-5. MR1751343 (2000k:35155)
-
(1999)
Appl. Math. Lett.
, vol.12
, pp. 107-111
-
-
Giacomelli, L.1
-
21
-
-
0036213475
-
Droplet spreading: Intermediate scaling law by PDE methods
-
MR1865415 (2002g:76047)
-
LORENZO GIACOMELLI and FELIX OTTO, Droplet spreading: intermediate scaling law by PDE methods, Comm. Pure Appl. Math. 55 (2002), 217-254, http://dx.doi.org/10.1002/cpa.10017. MR1865415 (2002g:76047)
-
(2002)
Comm. Pure Appl. Math.
, vol.55
, pp. 217-254
-
-
Giacomelli, L.1
Otto, F.2
-
22
-
-
21144433755
-
Rigorous lubrication approximation
-
MR2031467 (2004m:76067)
-
_, Rigorous lubrication approximation, Interfaces Free Bound. 5 (2003), 483-529. MR2031467 (2004m:76067)
-
(2003)
Interfaces Free Bound.
, vol.5
, pp. 483-529
-
-
-
23
-
-
10844291595
-
Droplet spreading under weak slippage - Existence for the Cauchy problem
-
MR2 105 985
-
GÜNTHER GRÜN, Droplet spreading under weak slippage - existence for the Cauchy problem, Comm. Partial Differential Equations 29 (2004), 1697-1744. MR2 105 985
-
(2004)
Comm. Partial Differential Equations
, vol.29
, pp. 1697-1744
-
-
Grün, G.1
-
24
-
-
0037663655
-
Droplet spreading under weak slippage: The optimal asymptotic propagation rate in the multi-dimensional case
-
MR1914626 (2003k:76009)
-
_, Droplet spreading under weak slippage: the optimal asymptotic propagation rate in the multi-dimensional case, Interfaces Free Bound. 4 (2002), 309-323. MR1914626 (2003k:76009)
-
(2002)
Interfaces Free Bound.
, vol.4
, pp. 309-323
-
-
-
25
-
-
17144447217
-
Droplet spreading under weak slippage: The waiting time phenomenon
-
MR2047357 (2005c:35146) (English, with English and French summaries)
-
_, Droplet spreading under weak slippage: the waiting time phenomenon, Ann. Inst. H. Poincaré Anal. Non Linéaire 21 (2004), 255-269. MR2047357 (2005c:35146) (English, with English and French summaries)
-
(2004)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.21
, pp. 255-269
-
-
-
27
-
-
0030584554
-
Instantaneous shrinking of the support of energy solutions
-
MR1377822 (97c:35095)
-
ROBERT KERSNER and ANDREY E. SHISHKOV, Instantaneous shrinking of the support of energy solutions, J. Math. Anal. Appl. 198 (1996), 729-750, http://dx.doi.org/10.1006/jmaa.1996.0110. MR1377822 (97c:35095)
-
(1996)
J. Math. Anal. Appl.
, vol.198
, pp. 729-750
-
-
Kersner, R.1
Shishkov, A.E.2
-
29
-
-
0031480080
-
Long-scale evolution of thin liquid films
-
ALEXANDER ORON, STEPHEN H. DAVIS, and S. GEORGE BANKOFF, Long-scale evolution of thin liquid films, Rev. Mod. Phys. 69 (1997), 931-980, http://dx.doi.org/10.1103/RevModPhys.69.931.
-
(1997)
Rev. Mod. Phys.
, vol.69
, pp. 931-980
-
-
Oron, A.1
Davis, S.H.2
Bankoff, S.G.3
-
30
-
-
33646398240
-
Propagation of perturbations in quasilinear multidimensional parabolic equations with a convective term
-
MR2031292 (2004k:35168) (Russian)
-
D.A. SAPRONOV and ANDREY E. SHISHKOV, Propagation of perturbations in quasilinear multidimensional parabolic equations with a convective term, Ukraïn Math. Zh. 53 (2001), 953-969, http://dx.doi.org/10.1023/A: 1013381316300. MR2031292 (2004k:35168) (Russian)
-
(2001)
Ukraïn Math. Zh.
, vol.53
, pp. 953-969
-
-
Sapronov, D.A.1
Shishkov, A.E.2
-
31
-
-
3142770636
-
Estimates for the rate of propagation of perturbations in quasilinear degenerate higher-order parabolic equations in divergence form
-
MR1201147 (94b:35074) (Russian)
-
ANDREY E. SHISHKOV, Estimates for the rate of propagation of perturbations in quasilinear degenerate higher-order parabolic equations in divergence form, Ukraïn. Mat. Zh. 44 (1992), 1335-1340, http://dx.doi.org/10.1007/BF01057693. MR1201147 (94b:35074) (Russian)
-
(1992)
Ukraïn. Mat. Zh.
, vol.44
, pp. 1335-1340
-
-
Shishkov, A.E.1
-
32
-
-
26444598237
-
Dynamics of the geometry of the support of the generalized solution of a higher-order quasilmear parabolic equation in divergence form
-
MR1236340 (94f:35071)
-
_, Dynamics of the geometry of the support of the generalized solution of a higher-order quasilmear parabolic equation in divergence form, Differential Equations 29 (1993), 460-469. MR1236340 (94f:35071)
-
(1993)
Differential Equations
, vol.29
, pp. 460-469
-
-
-
33
-
-
0030300526
-
Propagation of perturbations in the singular Cauchy problem for quasilinear degenerate parabolic equations
-
MR1422386 (97h:35125)
-
_, Propagation of perturbations in the singular Cauchy problem for quasilinear degenerate parabolic equations, Sb. Math. 187 (1996), 1391-1410, http://dx.doi.org/10.1070/SM1996v187n09ABEH000161. MR1422386 (97h:35125)
-
(1996)
Sb. Math.
, vol.187
, pp. 1391-1410
-
-
-
34
-
-
0033478949
-
Dead zones and instantaneous compactification of supports of energy solutions of quasilinear parabolic equations of arbitrary order
-
MR1735249 (2000m:35094)
-
_, Dead zones and instantaneous compactification of supports of energy solutions of quasilinear parabolic equations of arbitrary order, Sb. Math. 190 (1999), 1843-1869, http://dx.doi.org/10.1070/SM1999v190n12ABEH000445. MR1735249 (2000m:35094)
-
(1999)
Sb. Math.
, vol.190
, pp. 1843-1869
-
-
-
35
-
-
3042557128
-
Instantaneous shrinking phenomenon for solutions of higher-dimensional nonlinear diffusion-convection equations
-
MR1771546 (2001g:35112)
-
_, Instantaneous shrinking phenomenon for solutions of higher-dimensional nonlinear diffusion-convection equations, Methods Funct. Anal. Topology 5 (1999), 54-76. MR1771546 (2001g:35112)
-
(1999)
Methods Funct. Anal. Topology
, vol.5
, pp. 54-76
-
-
-
36
-
-
22444452795
-
Dynamics of the supports of energy solutions of mixed problems for quasilinear parabolic equations of arbitrary order
-
MR1642176 (99i:35078)
-
ANDREY E. SHISHKOV and A.G. SHCHELKOV, Dynamics of the supports of energy solutions of mixed problems for quasilinear parabolic equations of arbitrary order, Izv. Math. 62 (1998), 601-626. MR1642176 (99i:35078)
-
(1998)
Izv. Math.
, vol.62
, pp. 601-626
-
-
Shishkov, A.E.1
Shchelkov, A.G.2
-
37
-
-
0039943395
-
Èquations elliptiques du second ordre à coefficients discontinus
-
(Été), Les Presses de l'Université de Montréal, Montréal, Que., 1966. MR0251373 (40 #4603) (French)
-
GUIDO STAMPACCHIA, Èquations elliptiques du second ordre à coefficients discontinus, Séminaire de Mathématiques Supérieures, No. 16 (Été, 1965), Les Presses de l'Université de Montréal, Montréal, Que., 1966. MR0251373 (40 #4603) (French)
-
(1965)
Séminaire de Mathématiques Supérieures
, vol.16
-
-
Stampacchia, G.1
-
38
-
-
33746390098
-
The effect of time delay of support propagation in equations of thin films
-
MR2073864 (2005d:35124) (Russian)
-
R.M. TARANETS and ANDREY E. SHISHKOV, The effect of time delay of support propagation in equations of thin films, Ukraïn. Mat. Zh. 55 (2003), 935-952, http://dx.doi.org/10.1023/B:UKMA.0000010611.77537.3c. MR2073864 (2005d:35124) (Russian)
-
(2003)
Ukraïn. Mat. Zh.
, vol.55
, pp. 935-952
-
-
Taranets, R.M.1
Shishkov, A.E.2
|