-
1
-
-
84972538842
-
Singularities of the curve shrinking flow for space curves
-
Zbl0754.53006 MR1131441
-
ALTSCHULER, S. J., Singularities of the curve shrinking flow for space curves, J. Differential Geom. 34 (1991), 491-514. Zbl0754.53006 MR1131441
-
(1991)
J. Differential Geom
, vol.34
, pp. 491-514
-
-
Altschuler, S.J.1
-
2
-
-
84972503988
-
On the formation of singularities in the curve shortening flow
-
Zbl0731.53002 MR1100205
-
ANGENENT, S., On the formation of singularities in the curve shortening flow, J. Differential Geom. 33 (1991), 601-633. Zbl0731.53002 MR1100205
-
(1991)
J. Differential Geom
, vol.33
, pp. 601-633
-
-
Angenent, S.1
-
3
-
-
0007548518
-
Asymptotic shape of cusp singularities in curve shortening
-
Zbl0829.35058 MR1317628
-
ANGENENT, S. B. & VEĹAZQUEZ, J. J. L., Asymptotic shape of cusp singularities in curve shortening, Duke Math. J. 77 (1995), 71-110. Zbl0829.35058 MR1317628
-
(1995)
Duke Math. J
, vol.77
, pp. 71-110
-
-
Angenent, S.B.1
Veĺazquez, J.J.L.2
-
4
-
-
0031091769
-
Convex viscosity solutions and state constraints
-
ALVAREZ, O., LASRY, J.-M. & LIONS, P.-L., Convex viscosity solutions and state constraints, J. Math. Pures Appl. 76, (1997), 265-288. Zbl0890.49013 MR1441987 (Pubitemid 127163486)
-
(1997)
Journal des Mathematiques Pures et Appliquees
, vol.76
, Issue.3
, pp. 265-288
-
-
Alvarez, O.1
Lasry, J.-M.2
Lions, P.-L.3
-
5
-
-
0142168487
-
Uniqueness results for quasilinear parabolic equations through viscosity solutions' methods
-
DOI 10.1007/s00526-002-0186-5
-
BARLES, G., BITON, S., BOURGOING, M., & LEY, O., Uniqueness results for quasilinear parabolic equations through viscosity solutions' methods, Calc. Var. Partial Differential Equations 18 (2003), 159- 179. Zbl1036.35001 MR2010963 (Pubitemid 37316307)
-
(2003)
Calculus of Variations and Partial Differential Equations
, vol.18
, Issue.2
, pp. 159-179
-
-
Barles, G.1
Biton, S.2
Bourgoing, M.3
Ley, O.4
-
6
-
-
0000067621
-
The growth crystals and the equilibrium structure of their surfaces
-
Zbl0043.23402 MR0043005
-
BURTON, W. K., CABRERA, N., & FRANK, F. C., The growth crystals and the equilibrium structure of their surfaces, Philos. Trans. Roy. Soc. London. Ser. A. 243 (1951), 299-358. Zbl0043.23402 MR0043005
-
(1951)
Philos. Trans. Roy. Soc. London. Ser. A
, vol.243
, pp. 299-358
-
-
Burton, W.K.1
Cabrera, N.2
Frank, F.C.3
-
7
-
-
0010858699
-
-
Birkhauser Boston, Inc., Boston, MA. xiv+304 pp. Zbl1095.49003 MR2041617
-
CANNARSA, P. & SINESTRARI, S., Semiconcave functions, Hamilton-Jacobi equations, and optimal control, Progress in Nonlinear Differential Equations and their Applications, 58. Birkh?auser Boston, Inc., Boston, MA, 2004. xiv+304 pp. Zbl1095.49003 MR2041617
-
(2004)
Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control, Progress in Nonlinear Differential Equations and Their Applications
, vol.58
-
-
Cannarsa, P.1
Sinestrari, S.2
-
8
-
-
84972499852
-
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
-
Zbl0696.35087 MR1100211
-
CHEN, Y. G., GIGA, Y., & GOTO, S., Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations, J. Differential Geom. 33 (1991), 749-786. Zbl0696.35087 MR1100211
-
(1991)
J. Differential Geom
, vol.33
, pp. 749-786
-
-
Chen, Y.G.1
Giga, Y.2
Goto, S.3
-
9
-
-
0001588474
-
On quasilinear parabolic equations which admit global solutions for initial data with unrestricted growth
-
CHOU, K.-S., & KWONG, Y.-C., On quasilinear parabolic equations which admit global solutions for initial data with unrestricted growth, Calc. Var. 12 (2001), 281-315. Zbl0980.35061 MR1825875 (Pubitemid 33687549)
-
(2001)
Calculus of Variations and Partial Differential Equations
, vol.12
, Issue.3
, pp. 281-315
-
-
Chou, K.-S.1
Kwong, Y.-C.2
-
10
-
-
84967708673
-
User's guide to viscosity solutions of second order partial differential equations
-
Zbl0755.35015 MR1118699
-
CRANDALL.M. G., ISHII, H., & LIONS, P.-L.,User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N.S.) 27 (1992), 1-67. Zbl0755.35015 MR1118699
-
(1992)
Bull. Amer. Math. Soc. (N.S)
, vol.27
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Ions, P.-L.3
-
12
-
-
84972518016
-
Motion of level sets by mean curvature i
-
Zbl0726.53029 MR1100206
-
EVANS, L. C. & SPRUCK, J., Motion of level sets by mean curvature. I, J. Differential Geom. 33 (1991), 635-681. Zbl0726.53029 MR1100206
-
(1991)
J. Differential Geom
, Issue.33
, pp. 635-681
-
-
Evans, L.C.1
Spruck, J.2
-
14
-
-
84872437830
-
-
in preparation
-
FORCADEL, N., IMBERT, C., & MONNEAU, R., Large time behavior of spirals moving by forced mean curvature motion, in preparation.
-
Large Time Behavior of Spirals Moving by Forced Mean Curvature Motion
-
-
Forcadel, N.1
Imbert, C.2
Monneau, R.3
-
15
-
-
9544229550
-
Spiral solutions for a weakly anisotropic curvature flow equation
-
Zbl1038.35034 MR1909454
-
GIGA, Y., ISHIMURA, N., & KOHSAKA, Y., Spiral solutions for a weakly anisotropic curvature flow equation, Adv. Math. Sci. Appl. 12 (2002), 393-408. Zbl1038.35034 MR1909454
-
(2002)
Adv. Math. Sci. Appl
, vol.12
, pp. 393-408
-
-
Giga, Y.1
Ishimura, N.2
Kohsaka, Y.3
-
16
-
-
0001024159
-
Generalized interface evolution with the Neumann boundary condition
-
Zbl0786.35076 MR1137924
-
GIGA, Y. & SATO, M.-H., Generalized interface evolution with the Neumann boundary condition, Proc. Japan Acad. Ser. A Math. Sci. 67 (1991), 263-266. Zbl0786.35076 MR1137924
-
(1991)
Proc. Japan Acad. Ser. A Math. Sci
, vol.67
, pp. 263-266
-
-
Giga, Y.1
Sato, M.-H.2
-
17
-
-
57449102826
-
Uniqueness and existence of generalized motion for spiral crystal growth
-
Zbl1161.53057 MR2463977
-
GOTO, S., NAKAGAWA, M., & OHTSUKA, T., Uniqueness and existence of generalized motion for spiral crystal growth, Indiana Univ. Math. J. 57 (2008), 2571-2599. Zbl1161.53057 MR2463977
-
(2008)
Indiana Univ. Math. J
, vol.57
, pp. 2571-2599
-
-
Goto, S.1
Nakagawa, M.2
Ohtsuka, T.3
-
18
-
-
84972566521
-
Perron's method for Hamilton-Jacobi equations
-
Zbl069735030 MR0894587
-
ISHII, H., Perron's method for Hamilton-Jacobi equations, Duke Math. J. (2) 55 (1987), 369-384. Zbl0697.35030 MR0894587
-
(1987)
Duke Math. J.
, vol.2
, Issue.55
, pp. 369-384
-
-
Ishii, H.1
-
19
-
-
0032378271
-
Shape of spirals
-
Zbl091535048 MR1622050
-
ISHIMURA, N., Shape of spirals, Tohoku Math. J. (2) 50 (1998), 197-202. Zbl0915.35048 MR1622050
-
(1998)
Tohoku Math. J.
, vol.2
, Issue.50
, pp. 197-202
-
-
Ishimura, N.1
-
20
-
-
0001001797
-
Spiral surface growth without desorption
-
KARMA, A. & PLAPP, M., Spiral surface growth without desorption, Physical Review Letters 81 (1998), 4444-4447. http://dx.doi.org/10.1103/ PhysRevLett.81.4444. (Pubitemid 128630834)
-
(1998)
Physical Review Letters
, vol.81
, Issue.20
, pp. 4444-4447
-
-
Karma, A.1
Plapp, M.2
-
21
-
-
0003919106
-
-
of Interdisciplinary Applied Mathematics, Springer- Verlag, New York. Zbl0913.92009 MR1673204
-
KEENER, J. & SNEYD, J., Mathematical physiology, vol. 8 of Interdisciplinary Applied Mathematics, Springer-Verlag, New York, 1998. Zbl0913.92009 MR1673204
-
(1998)
Mathematical Physiology
, vol.8
-
-
Keener, J.1
Sneyd, J.2
-
22
-
-
84872450883
-
-
Translated from the Russian by S. Smith. Translations of Mathematical Monographs American Mathematical Society, Providence, R.I. Zbl0164.12302 MR0241822
-
LADYZ ENSKAJA, O. A., SOLONNIKOV, V. A., & URAL0CEVA, N. N., Linear and quasilinear equations of parabolic type, Translated from the Russian by S. Smith. Translations of Mathematical Monographs, Vol. 23, American Mathematical Society, Providence, R.I., (1967). Zbl0164.12302 MR0241822
-
(1967)
Linear and Quasilinear Equations of Parabolic Type
, vol.23
-
-
Ladyz Enskaja, O.A.1
Solonnikov, V.A.2
Uraloceva, N.N.3
-
23
-
-
84863995308
-
Homogenization of the Peierls-Nabarro model for dislocation dynamics
-
Zblre06071615 MR2946964
-
MONNEAU, R. & PATRIZI, S., Homogenization of the Peierls-Nabarro model for dislocation dynamics, J. Differ Equations 253, 2064-2105 (2012). Zblpre06071615 MR2946964
-
(2012)
J. Differ Equations
, vol.253
, pp. 2064-2105
-
-
Monneau, R.1
Patrizi, S.2
-
24
-
-
84872482973
-
-
preprint HAL: hal-00606214
-
MONNEAU, R., ROQUEJOFFRE, J.-M., & ROUSSIER-MICHON, V., Travelling graphs for the forced mean curvature motion in an arbitrary space dimension, preprint HAL: hal-00606214.
-
Travelling Graphs for the Forced Mean Curvature Motion in An Arbitrary Space Dimension
-
-
Monneau, R.1
Roquejoffre, J.-M.2
Roussier-Michon, V.3
-
25
-
-
0003475470
-
-
of Biomathematics, Springer- Verlag, Berlin, Zbl0779. 92001 MR1239892
-
MURRAY, J. D., Mathematical biology, vol. 19 of Biomathematics, Springer-Verlag, Berlin, Zbl0779. 92001 MR1239892
-
Mathematical Biology
, vol.19
-
-
Murray, J.D.1
-
26
-
-
1942507733
-
Spiral traveling wave solutions of some parabolic equations on annuli
-
of Josai Math. Monogr., Josai Univ., Sakado Zbl096235100 MR1761978
-
OGIWARA, T. & NAKAMURA, K.-I., Spiral traveling wave solutions of some parabolic equations on annuli, in NLA99: Computer algebra (Saitama, 1999), vol. 2 of Josai Math. Monogr., Josai Univ., Sakado, 2000, 15-34. Zbl0962.35100 MR1761978
-
NLA99: Computer Algebra (Saitama 1999)
, vol.2
, Issue.2000
, pp. 15-34
-
-
Ogiwara, T.1
Nakamura, K.-I.2
-
27
-
-
1942536643
-
Spiral Traveling Wave Solutions of Nonlinear Diffusion Equations Related to a Model of Spiral Crystal Growth
-
OGIWARA, T. & NAKAMURA, K.-I., Spiral traveling wave solutions of nonlinear diffusion equations related to a model of spiral crystal growth, Publ. Res. Inst. Math. Sci. 39 (2003), 767-783. Zbl1056. 35026 MR2025462 (Pubitemid 38516682)
-
(2003)
Publications of the Research Institute for Mathematical Sciences
, vol.39
, Issue.4
, pp. 767-783
-
-
Ogiwara, T.1
Nakamura, K.-I.2
-
28
-
-
38049154294
-
A level set method for spiral crystal growth
-
Zbl1059.74045 MR2002402
-
OHTSUKA, T., A level set method for spiral crystal growth, Adv. Math. Sci. Appl. 13 (2003), 225-248. Zbl1059.74045 MR2002402
-
(2003)
Adv. Math. Sci. Appl
, vol.13
, pp. 225-248
-
-
Ohtsuka, T.1
-
29
-
-
44749084234
-
Fronts propagating with curvature-dependent speed: Algorithms based on hamilton-jacobi formulations
-
Zbl0659.65132 MR0965860
-
OSHER, S. & SETHIAN, J. A., Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys. 79 (1988), 12-49. Zbl0659.65132 MR0965860
-
(1988)
J. Comput. Phys
, vol.79
, pp. 12-49
-
-
Osher, S.1
Sethian, J.A.2
-
30
-
-
0000114118
-
Interface evolution with Neumann boundary condition
-
Zbl0811.35069 MR1287918
-
SATO, M.-H., Interface evolution with Neumann boundary condition, Adv. Math. Sci. Appl. 4 (1994), 249-264. Zbl0811.35069 MR1287918
-
(1994)
Adv. Math. Sci. Appl
, vol.4
, pp. 249-264
-
-
Sato, M.-H.1
-
31
-
-
0039765174
-
A geometric model for coarsening during spiral-mode growth of thin films
-
Zbl0962.74522 MR1704821
-
SCHULZE, T. P. & KOHN, R. V., A geometric model for coarsening during spiral-mode growth of thin films, Phys. D 132 (1999), 520-542. Zbl0962.74522 MR1704821
-
(1999)
Phys D 132
, pp. 520-542
-
-
Schulze, T.P.1
Kohn, R.V.2
-
32
-
-
0346819812
-
Spiral crystal growth
-
Zbl0957.80002 MR1744632
-
SMEREKA, P., Spiral crystal growth, Phys. D 138 (2000), 282-301. Zbl0957.80002 MR1744632
-
(2000)
Phys D 138
, pp. 282-301
-
-
Smereka, P.1
|