-
1
-
-
0006528348
-
Level set approach to mean curvature flow in arbitrary codimension
-
L. Ambrosio and H. M. Soner. Level set approach to mean curvature flow in arbitrary codimension. J. Differential Geometry, 43(4):693-737, 1996.
-
(1996)
J. Differential Geometry
, vol.43
, Issue.4
, pp. 693-737
-
-
Ambrosio, L.1
Soner, H.M.2
-
2
-
-
0040579517
-
An example of three-dimensional fattening for linked space curves evolving by curvature
-
G. Bellettini, M. Novaga, and M. Paolini. An example of three-dimensional fattening for linked space curves evolving by curvature. Commun. Partial Differential Equations 23(9-10):1475-1492, 1998.
-
(1998)
Commun. Partial Differential Equations
, vol.23
, Issue.9-10
, pp. 1475-1492
-
-
Bellettini, G.1
Novaga, M.2
Paolini, M.3
-
3
-
-
0000275077
-
Motion of curves in three spatial dimensions using a level set approach
-
P. Burchard, L.-T. Cheng, B. Merriman, and S. Osher. Motion of curves in three spatial dimensions using a level set approach. J. Comput. Phys., 170(2):720-741, 2001.
-
(2001)
J. Comput. Phys.
, vol.170
, Issue.2
, pp. 720-741
-
-
Burchard, P.1
Cheng, L.-T.2
Merriman, B.3
Osher, S.4
-
4
-
-
0017993951
-
Motion of a curved vortex filament with decaying vortical core and axial velocity
-
A. Callegari and L. Ting. Motion of a curved vortex filament with decaying vortical core and axial velocity. SIAM J. Appl. Math., 35:148-175, 1978.
-
(1978)
SIAM J. Appl. Math.
, vol.35
, pp. 148-175
-
-
Callegari, A.1
Ting, L.2
-
5
-
-
0029391730
-
Motion of vortices in type II superconductors
-
S. J. Chapman and G. Richardson. Motion of vortices in type II superconductors. SIAM J. Appl. Math., 55(5):1275-1296, 1995.
-
(1995)
SIAM J. Appl. Math.
, vol.55
, Issue.5
, pp. 1275-1296
-
-
Chapman, S.J.1
Richardson, G.2
-
6
-
-
0033417897
-
Spatial segregation limit of a competition-diffusion system
-
E. N. Dancer, D. Hilhorst, M. Mimura, and L. Peletier. Spatial segregation limit of a competition-diffusion system. European J. Appl. Math., 10(2):97-115, 1999.
-
(1999)
European J. Appl. Math.
, vol.10
, Issue.2
, pp. 97-115
-
-
Dancer, E.N.1
Hilhorst, D.2
Mimura, M.3
Peletier, L.4
-
7
-
-
0041604946
-
A three-phase partition problem arising in a competition-diffusion system
-
Tohoku Univ., Sendai
-
S.-I. Ei, R. Ikota, and M. Mimura. A three-phase partition problem arising in a competition-diffusion system. In Proceedings of the International Conference on Asymptotics in Nonlinear Diffusive Systems (Sendai, 1997), pages 55-63. Tohoku Univ., Sendai, 1998.
-
(1998)
Proceedings of the International Conference on Asymptotics in Nonlinear Diffusive Systems (Sendai, 1997)
, pp. 55-63
-
-
Ei, S.-I.1
Ikota, R.2
Mimura, M.3
-
9
-
-
0001081134
-
A generalization of the Bence, Merriman and Osher algorithm for motion by mean curvature
-
A. Damlamian, J. Spruck, and A. Visintin, editors, Gakkôtosho, Tokyo
-
H. Ishii. A generalization of the Bence, Merriman and Osher algorithm for motion by mean curvature. In A. Damlamian, J. Spruck, and A. Visintin, editors, Curvature Flows and Related Topics, pages 111-127. Gakkôtosho, Tokyo, 1995.
-
(1995)
Curvature Flows and Related Topics
, pp. 111-127
-
-
Ishii, H.1
-
11
-
-
0026837246
-
The dynamics of scroll waves in excitable media
-
J. P. Keener and J. J. Tyson. The dynamics of scroll waves in excitable media. SIAM Rev., 34:1-39, 1992.
-
(1992)
SIAM Rev.
, vol.34
, pp. 1-39
-
-
Keener, J.P.1
Tyson, J.J.2
-
13
-
-
0032398933
-
Complex Ginzburg-Landau equations and dynamics of vortices, filaments and codimension 2 submanifolds
-
F.-H. Lin. Complex Ginzburg-Landau equations and dynamics of vortices, filaments and codimension 2 submanifolds. Commun. Pure Appl. Math., 51:385-441, 1998.
-
(1998)
Commun. Pure Appl. Math.
, vol.51
, pp. 385-441
-
-
F-H, L.1
-
14
-
-
0010881957
-
Diffusion-generated motion by mean curvature
-
University of California, Dept. of Math., Los Angeles
-
P. Mascarenhas. Diffusion-generated motion by mean curvature. CAM Report 92-33, University of California, Dept. of Math., Los Angeles, 1992.
-
(1992)
CAM Report
, vol.92
, Issue.33
-
-
Mascarenhas, P.1
-
15
-
-
0001774705
-
Diffusion-generated motion by mean curvature
-
J. E. Taylor, editor, American Mathematical Society, Providence, Rhode Island, 1992. Also available as UCLA CAM Report 92-18, April
-
B. Merriman, J. Bence, and S. Osher. Diffusion-generated motion by mean curvature. In J. E. Taylor, editor, Computational Crystal Growers Workshop, pages 73-83. American Mathematical Society, Providence, Rhode Island, 1992. Also available as UCLA CAM Report 92-18, April 1992.
-
(1992)
Computational Crystal Growers Workshop
, pp. 73-83
-
-
Merriman, B.1
Bence, J.2
Osher, S.3
-
16
-
-
0000300747
-
Motion of multiple junctions: A level set approach
-
B. Merriman, J. Bence, and S. Osher. Motion of multiple junctions: A level set approach. J. Comput. Phys., 112(2):334-363, 1994.
-
(1994)
J. Comput. Phys.
, vol.112
, Issue.2
, pp. 334-363
-
-
Merriman, B.1
Bence, J.2
Osher, S.3
-
18
-
-
44749084234
-
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
-
S. Osher and J. A. Sethian. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys., 79:12-49, 1988.
-
(1988)
J. Comput. Phys.
, vol.79
, pp. 12-49
-
-
Osher, S.1
Sethian, J.A.2
-
19
-
-
0009889195
-
Self-induced motion of line defects
-
J. Rubinstein. Self-induced motion of line defects. Quart. Appl. Math., 49(1):1-9, 1991.
-
(1991)
Quart. Appl. Math.
, vol.49
, Issue.1
, pp. 1-9
-
-
Rubinstein, J.1
-
20
-
-
0039078768
-
Collapse of vortex links in the Ginzburg-Landau flow
-
J. Rubinstein, M. Schatzman, and P. Sternberg. Collapse of vortex links in the Ginzburg-Landau flow. C.R. Acad. Sci. Paris Sér. I, 322(1):31-35, 1996.
-
(1996)
C.R. Acad. Sci. Paris Sér. I
, vol.322
, Issue.1
, pp. 31-35
-
-
Rubinstein, J.1
Schatzman, M.2
Sternberg, P.3
-
21
-
-
0000601250
-
A diffusion-generated approach to multiphase motion
-
S. J. Ruuth. A diffusion-generated approach to multiphase motion. J. Comput. Phys., 145:166-192, 1998.
-
(1998)
J. Comput. Phys.
, vol.145
, pp. 166-192
-
-
Ruuth, S.J.1
-
22
-
-
0038906090
-
Efficient algorithms for diffusion-generated motion by mean curvature
-
S. J. Ruuth. Efficient algorithms for diffusion-generated motion by mean curvature. J. Comput. Phys., 144:603-625, 1998.
-
(1998)
J. Comput. Phys.
, vol.144
, pp. 603-625
-
-
Ruuth, S.J.1
-
23
-
-
0033689230
-
Convolution-generated motion and generalized Huygens' principles for interface motion
-
S. J. Ruuth and B. Merriman. Convolution-generated motion and generalized Huygens' principles for interface motion. SIAM J. Appl. Math., 60(3):868-890, 2000.
-
(2000)
SIAM J. Appl. Math.
, vol.60
, Issue.3
, pp. 868-890
-
-
Ruuth, S.J.1
Merriman, B.2
-
24
-
-
0000923212
-
Convolution-generated motion as a link between cellular automata and continuum pattern dynamics
-
S. J. Ruuth, B. Merriman, and S. Osher. Convolution-generated motion as a link between cellular automata and continuum pattern dynamics. J. Comput. Phys., 151:836-861, 1999.
-
(1999)
J. Comput. Phys.
, vol.151
, pp. 836-861
-
-
Ruuth, S.J.1
Merriman, B.2
Osher, S.3
-
25
-
-
0010881957
-
Diffusion-generated motion by mean curvature
-
University of California, Dept. of Math., Los Angeles
-
S. J. Ruuth, B. Merriman, J. Xin, and S. Osher. Diffusion-generated motion by mean curvature. CAM Report 98-47, University of California, Dept. of Math., Los Angeles, 1998.
-
(1998)
CAM Report
, vol.98
, Issue.47
-
-
Ruuth, S.J.1
Merriman, B.2
Xin, J.3
Osher, S.4
-
26
-
-
45449123944
-
Singular perturbation theory of traveling waves in excitable media
-
J. J. Tyson and J. P. Keener. Singular perturbation theory of traveling waves in excitable media. Physica D, 32:327-361, 1988.
-
(1988)
Physica D
, vol.32
, pp. 327-361
-
-
Tyson, J.J.1
Keener, J.P.2
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