-
1
-
-
0842303629
-
Finite element approximation of a sixth order nonlinear degenerate parabolic equation
-
Barrett J W, Langdon S and Nürnberg R 2004 Finite element approximation of a sixth order nonlinear degenerate parabolic equation Numer. Math. 96 401-34
-
(2004)
Numer. Math.
, vol.96
, Issue.3
, pp. 401-434
-
-
Barrett, J.W.1
Langdon, S.2
Nürnberg, R.3
-
2
-
-
45149137344
-
Higher order nonlinear degenerate parabolic equations
-
Bernis F and Friedman A 1990 Higher order nonlinear degenerate parabolic equations J. Differ. Eqns 83 179-206
-
(1990)
J. Differ. Eqns
, vol.83
, Issue.1
, pp. 179-206
-
-
Bernis, F.1
Friedman, A.2
-
3
-
-
0001529284
-
Similarity solutions of a higher order nonlinear diffusion equation
-
Bernis F and McLeod J B 1991 Similarity solutions of a higher order nonlinear diffusion equation Nonlinear Anal. TMA 17 1039-68
-
(1991)
Nonlinear Anal. TMA
, vol.17
, Issue.11
, pp. 1039-1068
-
-
Bernis, F.1
McLeod, J.B.2
-
4
-
-
0001460885
-
Source type solutions of a fourth order nonlinear degenerate parabolic equation
-
Bernis F, Peletier L A and Williams S M 1992 Source type solutions of a fourth order nonlinear degenerate parabolic equation Nonlinear Anal., TMA 18 217-34
-
(1992)
Nonlinear Anal., TMA
, vol.18
, Issue.3
, pp. 217-234
-
-
Bernis, F.1
Peletier, L.A.2
Williams, S.M.3
-
5
-
-
0040573839
-
Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition
-
Bernoff A J and Bertozzi A L 1995 Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition Physica D 85 375-404
-
(1995)
Physica
, vol.85
, Issue.3
, pp. 375-404
-
-
Bernoff, A.J.1
Bertozzi, A.L.2
-
6
-
-
0032368532
-
Long-wave instabilities and saturation in thin film equations
-
Bertozzi A L and Pugh M C 1998 Long-wave instabilities and saturation in thin film equations Commun. Pur. Appl. Math. LI 625-51
-
(1998)
Commun. Pur. Appl. Math.
, vol.51
, Issue.6
, pp. 625-651
-
-
Bertozzi, A.L.1
Pugh, M.C.2
-
7
-
-
0039623018
-
Finite-time blow-up of solutions of some long-wave unstable thin film equations
-
Bertozzi A L and Pugh M C 2000 Finite-time blow-up of solutions of some long-wave unstable thin film equations Indiana Univ. Math. J. 49 1323-66
-
(2000)
Indiana Univ. Math. J.
, vol.49
, Issue.4
, pp. 0-1366
-
-
Bertozzi, A.L.1
Pugh, M.C.2
-
8
-
-
2442638579
-
Self-similar blow-up in higher-order semilinear parabolic equations
-
Budd C J, Galaktionov V A and Williams J F 2004 Self-similar blow-up in higher-order semilinear parabolic equations SIAM J. Appl. Math. 64 1775-809
-
(2004)
SIAM J. Appl. Math.
, vol.64
, Issue.5
, pp. 1775-1809
-
-
Budd, C.J.1
Galaktionov, V.A.2
Williams, J.F.3
-
9
-
-
0036112940
-
Long-time asymptotic behaviour for strong solutions of the thin film equations
-
Carrillo J A and Toscani G 2002 Long-time asymptotic behaviour for strong solutions of the thin film equations Commun. Math. Phys. 225 551-71
-
(2002)
Commun. Math. Phys.
, vol.225
, Issue.3
, pp. 551-571
-
-
Carrillo, J.A.1
Toscani, G.2
-
10
-
-
0035605328
-
Regional blow-up for a higher-order semilinear heat equations
-
Chaves M and Galaktionov V A 2001 Regional blow-up for a higher-order semilinear heat equations Euro. J. Appl. Math. 12 601-23
-
(2001)
Euro. J. Appl. Math.
, vol.12
, pp. 601-623
-
-
Chaves, M.1
Galaktionov, V.A.2
-
11
-
-
0002224090
-
A variant of Lusternik-Schnirelman theory
-
Clark D C 1972 A variant of Lusternik-Schnirelman theory Indiana Univ. Math. J. 22 65-74
-
(1972)
Indiana Univ. Math. J.
, vol.22
, Issue.1
, pp. 65-74
-
-
Clark, D.C.1
-
13
-
-
15244345981
-
Quantum energy-transport and drift-diffusion models
-
Degond P, Méhats F and Ringhofer C 2005 Quantum energy-transport and drift-diffusion models J. Stat. Phys. 118 625-67
-
(2005)
J. Stat. Phys.
, vol.118
, Issue.3-4
, pp. 625-667
-
-
Degond, P.1
Méhats, F.2
Ringhofer, C.3
-
15
-
-
14844330148
-
Asymptotic behaviour of global solutions to higher-order semilinear parabolic equations in the supercritical range
-
Egorov Yu V, Galaktionov V A, Kondratiev V A and Pohozaev S I 2004 Asymptotic behaviour of global solutions to higher-order semilinear parabolic equations in the supercritical range Adv. Differ. Eqns 9 1009-38
-
(2004)
Adv. Differ. Eqns
, vol.9
, pp. 1009-1038
-
-
Egorov Yu, V.1
Galaktionov, V.A.2
Kondratiev, V.A.3
Pohozaev, S.I.4
-
17
-
-
34247860789
-
Blow-up similarity solutions of the fourth-order unstable thin film equation
-
Evans J D, Galaktionov V A and King J R 2007 Blow-up similarity solutions of the fourth-order unstable thin film equation Eur. J. Appl. Math. 18 195-231
-
(2007)
Eur. J. Appl. Math.
, vol.18
, Issue.2
, pp. 195-231
-
-
Evans, J.D.1
Galaktionov, V.A.2
King, J.R.3
-
18
-
-
34247893285
-
Source-type solutions of the fourth-order unstable thin film equation
-
Evans J D, Galaktionov V A and King J R 2007 Source-type solutions of the fourth-order unstable thin film equation Eur. J. Appl. Math. 18 273-321
-
(2007)
Eur. J. Appl. Math.
, vol.18
, Issue.3
, pp. 273-321
-
-
Evans, J.D.1
Galaktionov, V.A.2
King, J.R.3
-
19
-
-
34547428538
-
Unstable sixth-order thin film equation: II. Global similarity patterns
-
Evans J D, Galaktionov V A and King J R 2007 Unstable sixth-order thin film equation: II. Global similarity patterns Nonlinearity 20 1843-81
-
(2007)
Nonlinearity
, vol.20
, pp. 1843-1881
-
-
Evans, J.D.1
Galaktionov, V.A.2
King, J.R.3
-
20
-
-
33847261174
-
Blow-up and global asymptotics of the limit unstable Cahn-Hilliard equation
-
Evans J D, Galaktionov V A and Williams J F 2006 Blow-up and global asymptotics of the limit unstable Cahn-Hilliard equation SIAM J. Math. Anal. 38 64-102
-
(2006)
SIAM J. Math. Anal.
, vol.38
, Issue.1
, pp. 64-102
-
-
Evans, J.D.1
Galaktionov, V.A.2
Williams, J.F.3
-
21
-
-
0031118025
-
Finite length mask effects in the isolation oxidation of silicon
-
Evans J D, King J R and Tayler A B 1997 Finite length mask effects in the isolation oxidation of silicon IMA J. Appl. Math. 58 121-46
-
(1997)
IMA J. Appl. Math.
, vol.58
, Issue.2
, pp. 121-146
-
-
Evans, J.D.1
King, J.R.2
Tayler, A.B.3
-
22
-
-
0033924060
-
Oxidation-induced stresses in the isolation oxidation of silicon
-
Evans J D, Vynnycky M and Ferro S P 2000 Oxidation-induced stresses in the isolation oxidation of silicon J. Eng. Math. 38 191-218
-
(2000)
J. Eng. Math.
, vol.38
, Issue.2
, pp. 191-218
-
-
Evans, J.D.1
Vynnycky, M.2
Ferro, S.P.3
-
23
-
-
0031487592
-
Source-type solutions to thin-film equations in higher dimensions
-
Ferreira R and Bernis F 1997 Source-type solutions to thin-film equations in higher dimensions Eur. J. Appl. Math. 8 507-34
-
(1997)
Eur. J. Appl. Math.
, vol.8
, Issue.5
, pp. 507-534
-
-
Ferreira, R.1
Bernis, F.2
-
24
-
-
20444440804
-
Moving-boundary and fixed-domain problems for a sixth-order thin-film equation
-
Flitton J C and King J R 2004 Moving-boundary and fixed-domain problems for a sixth-order thin-film equation Eur. J. Appl. Math. 15 713-54
-
(2004)
Eur. J. Appl. Math.
, vol.15
, Issue.6
, pp. 713-754
-
-
Flitton, J.C.1
King, J.R.2
-
26
-
-
33645120984
-
Blow-up and critical exponents for parabolic equations with non-divergent operators: Dual porous medium and thin film operators
-
Galaktionov V A and Pohozaev S I 2006 Blow-up and critical exponents for parabolic equations with non-divergent operators: dual porous medium and thin film operators J. Evol. Eqns 6 45-69
-
(2006)
J. Evol. Eqns
, vol.6
, Issue.1
, pp. 45-69
-
-
Galaktionov, V.A.1
Pohozaev, S.I.2
-
28
-
-
1142290700
-
Blow-up in a fourth-order semilinear parabolc equation from explosion-convection theory
-
Galaktionov V A and Williams J F 2003 Blow-up in a fourth-order semilinear parabolc equation from explosion-convection theory Eur. J. Appl. Math. 14 745-64
-
(2003)
Eur. J. Appl. Math.
, vol.14
, Issue.6
, pp. 745-764
-
-
Galaktionov, V.A.1
Williams, J.F.2
-
29
-
-
10844291595
-
Droplet spreading under weak slippage-existence for the Cauchy problem
-
Grün G 2004 Droplet spreading under weak slippage-existence for the Cauchy problem Commun. Partial Diff. Eqns 29 1697-744
-
(2004)
Commun. Partial Diff. Eqns
, vol.29
, Issue.11-12
, pp. 1697-1744
-
-
Grün, G.1
-
30
-
-
32544439082
-
An algorithmic construction of entropies in higher-order nonlinear PDEs
-
Jüngel A and Matthes D 2006 An algorithmic construction of entropies in higher-order nonlinear PDEs Nonlinearity 19 633-59
-
(2006)
Nonlinearity
, vol.19
, Issue.3
, pp. 633-659
-
-
Jüngel, A.1
Matthes, D.2
-
31
-
-
22644452558
-
Periodic solutions of nonautonomous ordinary differential equations of higher order
-
Kiguradze I T and Kusano T 1999 Periodic solutions of nonautonomous ordinary differential equations of higher order Diff. Eqns 35 71-7
-
(1999)
Diff. Eqns
, vol.35
, pp. 71-77
-
-
Kiguradze, I.T.1
Kusano, T.2
-
32
-
-
78650359235
-
-
King J R 1986 Mathematical aspects of semiconductor process modelling PhD Thesis University of Oxford, Oxford
-
(1986)
PhD Thesis
-
-
King, J.R.1
-
33
-
-
0012340842
-
The isolation oxidation of silicon: The reaction-controlled case
-
King J R 1989 The isolation oxidation of silicon: The reaction-controlled case SIAM J. Appl. Math. 49 1064-80
-
(1989)
SIAM J. Appl. Math.
, vol.49
, Issue.4
, pp. 1064-1080
-
-
King, J.R.1
-
34
-
-
0034805647
-
Two generalisations of the thin film equation
-
King J R 2001 Two generalisations of the thin film equation Math. Comput. Modelling 34 737-56
-
(2001)
Math. Comput. Modelling
, vol.34
, Issue.7-8
, pp. 737-756
-
-
King, J.R.1
-
36
-
-
0036647446
-
Energy levels of steady states for thin-film-type equations
-
Laugesen R S and Pugh M C 2002 Energy levels of steady states for thin-film-type equations J. Diff. Eqns 182 377-415
-
(2002)
J. Diff. Eqns
, vol.182
, Issue.2
, pp. 377-415
-
-
Laugesen, R.S.1
Pugh, M.C.2
-
37
-
-
0031384747
-
Existence theorems for periodic solutions of higher order nonlinear differential equations
-
Liu Z and Mao Y 1997 Existence theorems for periodic solutions of higher order nonlinear differential equations J. Math. Anal. Appl. 216 481-90
-
(1997)
J. Math. Anal. Appl.
, vol.216
, Issue.2
, pp. 481-490
-
-
Liu, Z.1
Mao, Y.2
-
38
-
-
0347414398
-
Blow-up and growth in the directional solidification of dilute binary alloys
-
Novick-Cohen A 1992 Blow-up and growth in the directional solidification of dilute binary alloys Appl. Anal. 47 241-57
-
(1992)
Appl. Anal.
, vol.47
, pp. 241-257
-
-
Novick-Cohen, A.1
-
39
-
-
0001386608
-
Nonlinear aspects of the Cahn-Hilliard equation
-
Novick-Cohen A and Segel L A 1984 Nonlinear aspects of the Cahn-Hilliard equation Physica D 10 277-98
-
(1984)
Physica
, vol.10
, Issue.3
, pp. 277-298
-
-
Novick-Cohen, A.1
Segel, L.A.2
-
41
-
-
0000257752
-
On an approach to nonlinear equations
-
Pohozaev S I 1979 On an approach to nonlinear equations Sov. Math. Dokl. 20 912-16
-
(1979)
Sov. Math. Dokl.
, vol.20
, pp. 912-916
-
-
Pohozaev, S.I.1
-
42
-
-
31644436781
-
Self-similar blow-up of unstable thin-film equations
-
Slepev D and Pugh M C 2005 Self-similar blow-up of unstable thin-film equations Indiana Univ. Math. J. 54 1697-738
-
(2005)
Indiana Univ. Math. J.
, vol.54
, Issue.6
, pp. 1697-1738
-
-
Slepev, D.1
Pugh, M.C.2
-
44
-
-
84966215615
-
Asymptotic conditions for periodic solutions of ordinary differential equations
-
Ward J R 1981 Asymptotic conditions for periodic solutions of ordinary differential equations Proc. Am. Math. Soc. 81 415-20
-
(1981)
Proc. Am. Math. Soc.
, vol.81
, Issue.3
, pp. 415-420
-
-
Ward, J.R.1
-
45
-
-
3042856520
-
Blow-up and dissipation in a critical-case unstable thin film equation
-
Witelski T P, Bernoff A J and Bertozzi A L 2004 Blow-up and dissipation in a critical-case unstable thin film equation Eur. J. Appl. Math. 15 223-56
-
(2004)
Eur. J. Appl. Math.
, vol.15
, Issue.2
, pp. 223-256
-
-
Witelski, T.P.1
Bernoff, A.J.2
Bertozzi, A.L.3
|