-
1
-
-
0029674544
-
Stable and unstable singularities in the unforced Hele-Shaw cell
-
Almgren, R., Bertozzi, A. L., and Brenner, M. P., Stable and unstable singularities in the unforced Hele-Shaw cell, Phys. Fluids 8, 1996, pp. 1356-1370.
-
(1996)
Phys. Fluids
, vol.8
, pp. 1356-1370
-
-
Almgren, R.1
Bertozzi, A.L.2
Brenner, M.P.3
-
2
-
-
0000461055
-
Remarks on blow-up and nonexistence theorems for nonlinear evolution equations
-
Ball, J. M., Remarks on blow-up and nonexistence theorems for nonlinear evolution equations. Quart. J. Math. Oxford Ser. (2) 8, 1977, pp. 473-486.
-
(1977)
Quart. J. Math. Oxford Ser. (2)
, vol.8
, pp. 473-486
-
-
Ball, J.M.1
-
3
-
-
21844510002
-
Nonnegative solutions of a fourth order nonlinear degenerate parabolic equation
-
Beretta, E., Bertsch, M., and Dal Passo, R., Nonnegative solutions of a fourth order nonlinear degenerate parabolic equation, Arch. Rational Mech. Anal. 129, 1995, pp. 175-200.
-
(1995)
Arch. Rational Mech. Anal.
, vol.129
, pp. 175-200
-
-
Beretta, E.1
Bertsch, M.2
Dal Passo, R.3
-
4
-
-
0000254565
-
Finite speed of propagation and continuity of the interface for slow viscous flows
-
Bernis, F., Finite speed of propagation and continuity of the interface for slow viscous flows, Adv. Differential Equations 1, 1996, pp. 337-368.
-
(1996)
Adv. Differential Equations
, vol.1
, pp. 337-368
-
-
Bernis, F.1
-
5
-
-
0001057861
-
Finite speed of propagation for thin viscous flows when 2 ≤ n < 3
-
Bernis, F., Finite speed of propagation for thin viscous flows when 2 ≤ n < 3, C. R. Acad. Sci. Paris Séi. 1 Math. 322, 1996, pp. 1169-1174.
-
(1996)
C. R. Acad. Sci. Paris Séi. 1 Math.
, vol.322
, pp. 1169-1174
-
-
Bernis, F.1
-
6
-
-
45149137344
-
Higher order nonlinear degenerate parabolic equations
-
Bernis, F., and Friedman, A., Higher order nonlinear degenerate parabolic equations, J. Differential Equations 83, 1990, pp. 179-206.
-
(1990)
J. Differential Equations
, vol.83
, pp. 179-206
-
-
Bernis, F.1
Friedman, A.2
-
7
-
-
0040573839
-
Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition
-
Bernotf, A. J., and Bertozzi, A. L., Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition, Phys. D 85, 1995, pp. 375-404.
-
(1995)
Phys. D
, vol.85
, pp. 375-404
-
-
Bernotf, A.J.1
Bertozzi, A.L.2
-
8
-
-
0039679764
-
-
preprint
-
Bernoff, A. J., Bertozzi, A. L., and Witelski, T. P., Axisymmetric surface diffusion: Dynamics and stability of self-similar pinch-off, 1998, preprint.
-
(1998)
Axisymmetric Surface Diffusion: Dynamics and Stability of Self-similar Pinch-off
-
-
Bernoff, A.J.1
Bertozzi, A.L.2
Witelski, T.P.3
-
9
-
-
0040488514
-
The lubrication approximation for thin viscous films: Regularity and long time behavior of weak solutions
-
Bertozzi, A., and Pugh, M., The lubrication approximation for thin viscous films: regularity and long time behavior of weak solutions, Comm. Pure Appl. Math. 49, 1996, pp. 85-123.
-
(1996)
Comm. Pure Appl. Math.
, vol.49
, pp. 85-123
-
-
Bertozzi, A.1
Pugh, M.2
-
10
-
-
0040250418
-
Loss and gain of regularity in a lubrication equation for thin viscous films
-
Free Boundary Problems: Theory and Applications (Toledo, 1993), J. I. Díaz, M. A. Herrero, A. Liñán, and J. L. Vázquez, eds., Longman, Harlow
-
Bertozzi, A. L., Loss and gain of regularity in a lubrication equation for thin viscous films, pp. 72-85 in: Free Boundary Problems: Theory and Applications (Toledo, 1993), J. I. Díaz, M. A. Herrero, A. Liñán, and J. L. Vázquez, eds., Pitman Research Notes in Mathematics Series No. 323, Longman, Harlow, 1995.
-
(1995)
Pitman Research Notes in Mathematics Series
, vol.323
, pp. 72-85
-
-
Bertozzi, A.L.1
-
11
-
-
0030169093
-
Symmetric singularity formation in lubrication-type equations for interface motion
-
Bertozzi, A. L., Symmetric singularity formation in lubrication-type equations for interface motion, SIAM J. Appl. Math. 56, 1996, pp. 681-714.
-
(1996)
SIAM J. Appl. Math.
, vol.56
, pp. 681-714
-
-
Bertozzi, A.L.1
-
12
-
-
0002854269
-
Singularities and similarities in interface flow
-
Trends and Perspectives in Applied Mathematics, L. Sirovich, ed., Springer-Verlag, New York
-
Bertozzi, A. L., Brenner, M. P., Dupont, T. F., and Kadanoff, L. P., Singularities and similarities in interface flow, pp. 155-208 in: Trends and Perspectives in Applied Mathematics, L. Sirovich, ed., Applied Mathematical Sciences No. 100, Springer-Verlag, New York, 1994.
-
(1994)
Applied Mathematical Sciences
, vol.100
, pp. 155-208
-
-
Bertozzi, A.L.1
Brenner, M.P.2
Dupont, T.F.3
Kadanoff, L.P.4
-
13
-
-
0039748566
-
The lubrication approximation for thin viscous films: The moving contact line with a "porous media" cut off of van der Waals interactions
-
Bertozzi, A. L., and Pugh, M., The lubrication approximation for thin viscous films: the moving contact line with a "porous media" cut off of van der Waals interactions, Nonlinearity 7, 1994, pp. 1535-1564.
-
(1994)
Nonlinearity
, vol.7
, pp. 1535-1564
-
-
Bertozzi, A.L.1
Pugh, M.2
-
14
-
-
0001241013
-
Travelling wave solutions to thin film equations
-
Boatto, S., Kadanoff, L., and Olla, P., Travelling wave solutions to thin film equations, Phys. Rev. E (3) 48, 1993, p. 4423.
-
(1993)
Phys. Rev. E (3)
, vol.48
, pp. 4423
-
-
Boatto, S.1
Kadanoff, L.2
Olla, P.3
-
16
-
-
0000695499
-
Stability of cylindrical bodies in the theory of surface diffusion
-
Coleman, B. D., Falk, R. S., and Moakher, M., Stability of cylindrical bodies in the theory of surface diffusion, Phys. D. 1995, pp. 123-135.
-
(1995)
Phys. D.
, pp. 123-135
-
-
Coleman, B.D.1
Falk, R.S.2
Moakher, M.3
-
17
-
-
21144482383
-
A global attracting set for the Kuramoto-Sivashinsky equation
-
Collet, P., Eckmann, J.-P., Epstein, H., and Stubbe, J., A global attracting set for the Kuramoto-Sivashinsky equation, Comm. Math. Phys. 152, 1993, pp. 203-214.
-
(1993)
Comm. Math. Phys.
, vol.152
, pp. 203-214
-
-
Collet, P.1
Eckmann, J.-P.2
Epstein, H.3
Stubbe, J.4
-
18
-
-
0032367668
-
On a fourth order degenerate parabolic equation: Global entropy estimates and qualitative behavior of solutions
-
Dal Passo, R., Garcke, H., and Grün, G., On a fourth order degenerate parabolic equation: Global entropy estimates and qualitative behavior of solutions, SIAM J. Math. Anal. 29(2), 1998, pp. 321-342.
-
(1998)
SIAM J. Math. Anal.
, vol.29
, Issue.2
, pp. 321-342
-
-
Dal Passo, R.1
Garcke, H.2
Grün, G.3
-
19
-
-
1842695585
-
Wetting: Statics and dynamics
-
de Gennes, P., Wetting: statics and dynamics, Rev. Modern Phys. 57, 1985, pp. 827-863.
-
(1985)
Rev. Modern Phys.
, vol.57
, pp. 827-863
-
-
De Gennes, P.1
-
20
-
-
0039679737
-
The large-scale structure of compressible convection
-
Depassier, M. C., and Spiegel, E. A., The large-scale structure of compressible convection, Astronom. J. 86(3), 1981, pp. 496-512.
-
(1981)
Astronom. J.
, vol.86
, Issue.3
, pp. 496-512
-
-
Depassier, M.C.1
Spiegel, E.A.2
-
21
-
-
0001007002
-
Finite-time singularity formation in Hele-Shaw systems
-
Dupont, T. F., Goldstein, R. E., Kadanoff, L. P., and Zhou, S.-M., Finite-time singularity formation in Hele-Shaw systems, Phys. Rev. E (3) 47, 1993, pp. 4182-4196.
-
(1993)
Phys. Rev. E (3)
, vol.47
, pp. 4182-4196
-
-
Dupont, T.F.1
Goldstein, R.E.2
Kadanoff, L.P.3
Zhou, S.-M.4
-
22
-
-
0000459108
-
The moving contact line: The slip boundary condition
-
E. B.
-
Dussan V., E. B., The moving contact line: the slip boundary condition, J. Fluid Mech. 77, 1976, pp. 665-684.
-
(1976)
J. Fluid Mech.
, vol.77
, pp. 665-684
-
-
Dussan, V.1
-
23
-
-
0028545831
-
The spreading of hanging drops
-
Ehrhard, P., The spreading of hanging drops, J. Colloid Interface Sci. 168, 1994, pp. 242-246.
-
(1994)
J. Colloid Interface Sci.
, vol.168
, pp. 242-246
-
-
Ehrhard, P.1
-
24
-
-
0026205647
-
Non-isothermal spreading of liquid drops on horizontal plates
-
Ehrhard, P., and Davis, S. H., Non-isothermal spreading of liquid drops on horizontal plates, J. Fluid Mech. 229, 1991, pp. 365-388.
-
(1991)
J. Fluid Mech.
, vol.229
, pp. 365-388
-
-
Ehrhard, P.1
Davis, S.H.2
-
26
-
-
0003026352
-
On the nonlinear evolution of a solid-liquid interface
-
Frankel, M. L., On the nonlinear evolution of a solid-liquid interface, Phys. Lett. A 128, 1988, pp. 57-60.
-
(1988)
Phys. Lett. A
, vol.128
, pp. 57-60
-
-
Frankel, M.L.1
-
27
-
-
0011288731
-
On a free boundary problem associated with combustion and solidification
-
Frankel, M. L., On a free boundary problem associated with combustion and solidification, RAIRO Modl. Math. Anal. Numr., 1989, pp. 283-291.
-
(1989)
RAIRO Modl. Math. Anal. Numr.
, pp. 283-291
-
-
Frankel, M.L.1
-
28
-
-
0002435116
-
On the nonlinear thermal diffusive theory of curved flames
-
Frankel, M. L., and Sivashinsky, G. I., On the nonlinear thermal diffusive theory of curved flames, J. Phys. 48(1), 1987, pp. 25-28.
-
(1987)
J. Phys.
, vol.48
, Issue.1
, pp. 25-28
-
-
Frankel, M.L.1
Sivashinsky, G.I.2
-
29
-
-
33845460852
-
On the equation of a curved flame front
-
Frankel, M. L., and Sivashinsky, G. I., On the equation of a curved flame front, Phys. D 30, 1988, pp. 28-42.
-
(1988)
Phys. D
, vol.30
, pp. 28-42
-
-
Frankel, M.L.1
Sivashinsky, G.I.2
-
30
-
-
0000270361
-
Interior estimates for parabolic systems of partial differential equations
-
Friedman, A., Interior estimates for parabolic systems of partial differential equations, J. Math. Mech. 7, 1958, pp. 393-418.
-
(1958)
J. Math. Mech.
, vol.7
, pp. 393-418
-
-
Friedman, A.1
-
31
-
-
0003737629
-
-
Holt, Rinehart, Winston, New York
-
Friedman, A., Partial Differential Equations, Holt, Rinehart, Winston, New York, 1969.
-
(1969)
Partial Differential Equations
-
-
Friedman, A.1
-
32
-
-
84990616610
-
Asymptoticalhly self-similar blow-up of semilinear heat equations
-
Giga, Y., and Kohn, R. V., Asymptoticalhly self-similar blow-up of semilinear heat equations, Comm. Pure Appl. Math. 38, 1985, pp. 297-319.
-
(1985)
Comm. Pure Appl. Math.
, vol.38
, pp. 297-319
-
-
Giga, Y.1
Kohn, R.V.2
-
33
-
-
0000489919
-
Topology transitions and singularities in viscous flows
-
Goldstein, R. F., Pesci, A. I., and Shelley, M. J., Topology transitions and singularities in viscous flows, Phys. Rev. Lett. 70, 1993, pp. 3043-3046.
-
(1993)
Phys. Rev. Lett.
, vol.70
, pp. 3043-3046
-
-
Goldstein, R.F.1
Pesci, A.I.2
Shelley, M.J.3
-
34
-
-
4043117218
-
An attracting manifold for a viscous topology transition
-
Goldstein, R. E., Pesci, A. I., and Shelley, M. J., An attracting manifold for a viscous topology transition, Phys. Rev. Lett. 75, 1995, pp. 3665-3668.
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 3665-3668
-
-
Goldstein, R.E.1
Pesci, A.I.2
Shelley, M.J.3
-
35
-
-
84990666077
-
Stability of the Kuramoto-Sivashinsky and related systems
-
Goodman, J., Stability of the Kuramoto-Sivashinsky and related systems, Comm. Pure Appl. Math. 47, 1994, pp. 293-306.
-
(1994)
Comm. Pure Appl. Math.
, vol.47
, pp. 293-306
-
-
Goodman, J.1
-
36
-
-
0017926990
-
On the motion of a small viscous droplet that wets a surface
-
Greenspan, H. P., On the motion of a small viscous droplet that wets a surface, J. Fluid Mech. 84, 1978, pp. 125-143.
-
(1978)
J. Fluid Mech.
, vol.84
, pp. 125-143
-
-
Greenspan, H.P.1
-
37
-
-
0026103110
-
The effect of the contact line on droplet spreading
-
Haley, P. J., and Miksis, M. J., The effect of the contact line on droplet spreading, J. Fluid Mech. 223, 1991, pp. 57-81.
-
(1991)
J. Fluid Mech.
, vol.223
, pp. 57-81
-
-
Haley, P.J.1
Miksis, M.J.2
-
38
-
-
26544454798
-
On KS-type equations describing the evolution and rupture of a liquid interface
-
Hocherman, T., and Rosenau, P., On KS-type equations describing the evolution and rupture of a liquid interface, Phys. D 67, 1993, pp. 113-125.
-
(1993)
Phys. D
, vol.67
, pp. 113-125
-
-
Hocherman, T.1
Rosenau, P.2
-
39
-
-
84945462760
-
A moving fluid interface on a rough surface
-
Hocking, L. M., A moving fluid interface on a rough surface, J. Fluid Mech. 76, 1976, pp. 801-817.
-
(1976)
J. Fluid Mech.
, vol.76
, pp. 801-817
-
-
Hocking, L.M.1
-
40
-
-
0017457782
-
A moving fluid interface. Part 2: The removal of the force singularity by a slip flow
-
Hocking, L. M., A moving fluid interface. Part 2: The removal of the force singularity by a slip flow, J. Fluid Mech. 79, 1977, pp. 209-229.
-
(1977)
J. Fluid Mech.
, vol.79
, pp. 209-229
-
-
Hocking, L.M.1
-
41
-
-
0001452384
-
Rival contact-angle models and the spreading of drops
-
Hocking, L. M., Rival contact-angle models and the spreading of drops, J. Fluid. Mech. 239, 1992, pp. 671-681.
-
(1992)
J. Fluid. Mech.
, vol.239
, pp. 671-681
-
-
Hocking, L.M.1
-
43
-
-
0001035921
-
Some global dynamical properties of the Kuramota-Sivashinsky equations: Nonlinear stability and attractors
-
Nicolaenko, B., Scheurer, B., and Temam, R., Some global dynamical properties of the Kuramota-Sivashinsky equations: nonlinear stability and attractors, Phys. D 16, 1985, pp. 155-183.
-
(1985)
Phys. D
, vol.16
, pp. 155-183
-
-
Nicolaenko, B.1
Scheurer, B.2
Temam, R.3
-
45
-
-
0001768828
-
The porous media equation
-
Pitman, Boston-London
-
Peletier, L. A., The porous media equation, pp. 229-241 in: Applications of Nonlinear Analysis in the Physical Sciences, Surveys and Reference Works in Mathematics No. 6, Pitman, Boston-London, 1981.
-
(1981)
Applications of Nonlinear Analysis in the Physical Sciences, Surveys and Reference Works in Mathematics
, vol.6
, pp. 229-241
-
-
Peletier, L.A.1
-
46
-
-
33744939811
-
Bounded and unbounded patterns of the Benney equation
-
Rosenau, P., Oron, A., and Hyman, J. M., Bounded and unbounded patterns of the Benney equation, Phys. Fluids A 4(6), 1992, pp. 1102-1104.
-
(1992)
Phys. Fluids A
, vol.4
, Issue.6
, pp. 1102-1104
-
-
Rosenau, P.1
Oron, A.2
Hyman, J.M.3
-
47
-
-
0000999835
-
An intrinsic equation of interfacial motion for the solidification of a pure hypercooled melt
-
Sarocka, D. C., and Bernoff, A. J., An intrinsic equation of interfacial motion for the solidification of a pure hypercooled melt, Phys. D 85, 1995, pp. 348-374.
-
(1995)
Phys. D
, vol.85
, pp. 348-374
-
-
Sarocka, D.C.1
Bernoff, A.J.2
-
48
-
-
0020778244
-
On cellular instability in the solidification of a dilute binary alloy
-
Sivashinsky, G. I., On cellular instability in the solidification of a dilute binary alloy, Phys. D 8, 1983, pp. 243-248.
-
(1983)
Phys. D
, vol.8
, pp. 243-248
-
-
Sivashinsky, G.I.1
|