-
1
-
-
0001965769
-
Flat flow is motion by crystalline curvature for curves with crystalline energies
-
[AlT]
-
[AlT] Almgren, F., Taylor, J. E., Flat flow is motion by crystalline curvature for curves with crystalline energies, J. Diff. Geom. 42 (1995) 1-22
-
(1995)
J. Diff. Geom.
, vol.42
, pp. 1-22
-
-
Almgren, F.1
Taylor, J.E.2
-
2
-
-
33847303953
-
Multiphase thermomechanics with interracial structure, 2. Evolution of an isothermal interface
-
[AGu]
-
[AGu] Angenent, S., Gurtin, M. E., Multiphase thermomechanics with interracial structure, 2. Evolution of an isothermal interface, Arch. Rational Mech. Anal. 108 (1989) 323-391
-
(1989)
Arch. Rational Mech. Anal.
, vol.108
, pp. 323-391
-
-
Angenent, S.1
Gurtin, M.E.2
-
4
-
-
0013037510
-
Approximation of curvature dependent interface motion
-
[E] The state of the art in numerical analysis (York, 1996), Oxford Univ. Press, New York
-
[E] Elliott, C. M., Approximation of curvature dependent interface motion, The state of the art in numerical analysis (York, 1996), Inst. Math. Appl. Conf. Ser. New Ser. 63, Oxford Univ. Press, New York, (1997) 407-440
-
(1997)
Inst. Math. Appl. Conf. Ser. New Ser.
, vol.63
, pp. 407-440
-
-
Elliott, C.M.1
-
5
-
-
0001217234
-
Crystalline curvature flow of a graph in a variational setting
-
[EGS]
-
[EGS] Elliott, C. M., Gardiner, A. R., Schätzle, R, Crystalline curvature flow of a graph in a variational setting, Adv. in Math. Sci. Appl. Gakkōtosho, Tokyo 8 (1998) 425-460
-
(1998)
Adv. in Math. Sci. Appl. Gakkōtosho, Tokyo
, vol.8
, pp. 425-460
-
-
Elliott, C.M.1
Gardiner, A.R.2
Schätzle, R.3
-
6
-
-
0002227665
-
Motion of a graph by nonsmooth weighted curvature
-
[FG] (ed. Lakshmikantham, V.), Walter de Gruyter, Berlin
-
[FG] Fukui, T., Giga, Y., Motion of a graph by nonsmooth weighted curvature, World Congress of Nonlinear Analysis '92 (ed. Lakshmikantham, V.), Walter de Gruyter, Berlin (1996) 47-56
-
(1996)
World Congress of Nonlinear Analysis '92
, pp. 47-56
-
-
Fukui, T.1
Giga, Y.2
-
7
-
-
84972571195
-
An isoperimetric inequality with applications to curve shortening
-
[G1]
-
[G1] Gage, M., An isoperimetric inequality with applications to curve shortening, Duke Math. J. 54 (1983) 1225-1229
-
(1983)
Duke Math. J.
, vol.54
, pp. 1225-1229
-
-
Gage, M.1
-
8
-
-
0002764090
-
On an area-preserving evolution equation for plane curves
-
[G2]
-
[G2] Gage, M., On an area-preserving evolution equation for plane curves, Contemporary Math. 51 (1986) 51-62
-
(1986)
Contemporary Math.
, vol.51
, pp. 51-62
-
-
Gage, M.1
-
9
-
-
84966231344
-
Positive centers and the Bonnesen inequality
-
[G3]
-
[G3] Gage, M., Positive centers and the Bonnesen inequality, Proc. Amer. Math. Soc. 110 (1990) 1041-1048
-
(1990)
Proc. Amer. Math. Soc.
, vol.110
, pp. 1041-1048
-
-
Gage, M.1
-
10
-
-
84963023423
-
The heat equation shrinking convex plane curves
-
[GH]
-
[GH] Gage, M., Hamilton, R. S., The heat equation shrinking convex plane curves, J. Diff. Geom. 23 (1986) 69-96
-
(1986)
J. Diff. Geom.
, vol.23
, pp. 69-96
-
-
Gage, M.1
Hamilton, R.S.2
-
11
-
-
0040846743
-
Geometric evolution by nonsmooth interfacial energy
-
[GG1] Nonlinear analysis and applications (Warsaw, 1994), Gakkōtosho, Tokyo
-
[GG1] Giga, M.-H., Giga, Y., Geometric evolution by nonsmooth interfacial energy, Nonlinear analysis and applications (Warsaw, 1994), GAKUTO Internat. Ser. Math. Sci. Appl. 7 (1996) 125-140, Gakkōtosho, Tokyo
-
(1996)
GAKUTO Internat. Ser. Math. Sci. Appl.
, vol.7
, pp. 125-140
-
-
Giga, M.-H.1
Giga, Y.2
-
12
-
-
0012940602
-
Consistency in evolutions by crystalline curvature
-
[GG2] Free boundary problems, theory and applications (Zakopane, 1995), Longman, Harlow
-
[GG2] Giga, M.-H., Giga, Y., Consistency in evolutions by crystalline curvature, Free boundary problems, theory and applications (Zakopane, 1995), Pitman Res. Notes Math. Ser. 363 (1996) 186-202, Longman, Harlow
-
(1996)
Pitman Res. Notes Math. Ser.
, vol.363
, pp. 186-202
-
-
Giga, M.-H.1
Giga, Y.2
-
13
-
-
0013028836
-
Remarks on convergence of evolving graphs by nonlocal curvature
-
[GG3] Progress in partial differential equations, Vol. 1 (Pont-à-Mousson, 1997), Longman, Harlow
-
[GG3] Giga, M.-H., Giga, Y., Remarks on convergence of evolving graphs by nonlocal curvature, Progress in partial differential equations, Vol. 1 (Pont-à-Mousson, 1997), Pitman Res. Notes Math. Ser. 383 (1998) 99-116, Longman, Harlow
-
(1998)
Pitman Res. Notes Math. Ser.
, vol.383
, pp. 99-116
-
-
Giga, M.-H.1
Giga, Y.2
-
14
-
-
0032391468
-
Evolving graphs by singular weighted curvature
-
[GG4]
-
[GG4] Giga, M.-H., Giga, Y., Evolving graphs by singular weighted curvature, Arch. Rational Mech. Anal. 141 (1998) 117-198
-
(1998)
Arch. Rational Mech. Anal.
, vol.141
, pp. 117-198
-
-
Giga, M.-H.1
Giga, Y.2
-
15
-
-
0001696566
-
Stability for evolving graphs by nonlocal weighted curvature
-
[GG5]
-
[GG5] Giga, M.-H., Giga, Y., Stability for evolving graphs by nonlocal weighted curvature, Comm. Partial Differential Equations 24 (1999) 109-184
-
(1999)
Comm. Partial Differential Equations
, vol.24
, pp. 109-184
-
-
Giga, M.-H.1
Giga, Y.2
-
17
-
-
0012941554
-
Crystalline and level set flow - Convergence of a crystalline algorithm for a general anisotropic curvature flow in the plane
-
[GG7] GAKUTO International Series. Mathematical Sciences and Applications 13. GAKKŌTOSHO CO., LTD. Proceedings of International Conference on: Free Boundary Problems, (Edited by N. Kenmochi)
-
[GG7] Giga, M.-H., Giga, Y., Crystalline and level set flow - Convergence of a crystalline algorithm for a general anisotropic curvature flow in the plane, GAKUTO International Series. Mathematical Sciences and Applications 13. GAKKŌTOSHO CO., LTD. Proceedings of International Conference on: Free Boundary Problems, Theory and Applications (Edited by N. Kenmochi), I (2000) 64-79
-
(2000)
Theory and Applications
, vol.1
, pp. 64-79
-
-
Giga, M.-H.1
Giga, Y.2
-
18
-
-
0030410335
-
A comparison theorem for crystalline evolution in the plane
-
[GGu]
-
[GGu] Giga, Y., Gurtin, M. E., A comparison theorem for crystalline evolution in the plane, Quart. J. Appl. Math. LIV (1996) 727-737
-
(1996)
Quart. J. Appl. Math.
, vol.54
, pp. 727-737
-
-
Giga, Y.1
Gurtin, M.E.2
-
19
-
-
0011756649
-
On the dynamics of crystalline motions
-
[GGuM]
-
[GGuM] Giga, Y., Gurtin, M. E., Matias, J., On the dynamics of crystalline motions, Japan J. Indust. Appl. Math. 15 (1998) 1-44
-
(1998)
Japan J. Indust. Appl. Math.
, vol.15
, pp. 1-44
-
-
Giga, Y.1
Gurtin, M.E.2
Matias, J.3
-
20
-
-
0000317873
-
Convergence of a crystalline algorithm for the motion of a simple closed convex curve by weighted curvature
-
[Gir]
-
[Gir] Girão, P. M., Convergence of a crystalline algorithm for the motion of a simple closed convex curve by weighted curvature, SIAM J. Numer. Anal. 32 (1995) 886-899
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 886-899
-
-
Girão, P.M.1
-
21
-
-
84951613405
-
Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature
-
[GirK]
-
[GirK] Girão, P. M., Kohn, R. V., Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature, Numer. Math. 67 (1994) 41-70
-
(1994)
Numer. Math.
, vol.67
, pp. 41-70
-
-
Girão, P.M.1
Kohn, R.V.2
-
22
-
-
0012990446
-
Numerical simulations of crystalline motion by mean curvature with Allen-Cahn relaxation
-
[GP] Free boundary problems, theory and applications (Zakopane, 1995), Longman, Harlow
-
[GP] Goglione, R., Paolini, M., Numerical simulations of crystalline motion by mean curvature with Allen-Cahn relaxation, Free boundary problems, theory and applications (Zakopane, 1995), Pitman Res. Notes Math. Ser. 363 (1996) 203-216, Longman, Harlow
-
(1996)
Pitman Res. Notes Math. Ser.
, vol.363
, pp. 203-216
-
-
Goglione, R.1
Paolini, M.2
-
24
-
-
0032271478
-
Regularity and convergence of crystalline motion
-
[IS] (electronic)
-
[IS] Ishii, K., Soner, H. M., Regularity and convergence of crystalline motion, SIAM J. Math. Anal. 30 (1999) 19-37 (electronic)
-
(1999)
SIAM J. Math. Anal.
, vol.30
, pp. 19-37
-
-
Ishii, K.1
Soner, H.M.2
-
25
-
-
0031077374
-
A crystalline motion: Uniqueness and geometric properties
-
[Ry]
-
[Ry] Rybka, P., A crystalline motion: uniqueness and geometric properties, SIAM J. Appl. Math. 57 (1997) 53-72
-
(1997)
SIAM J. Appl. Math.
, vol.57
, pp. 53-72
-
-
Rybka, P.1
-
26
-
-
0000842146
-
Uniqueness of self-similar solutions for a crystalline flow
-
[S1]
-
[S1] Stancu, A., Uniqueness of self-similar solutions for a crystalline flow, Indiana Univ. Math. J. 45 (1996) 1157-1174
-
(1996)
Indiana Univ. Math. J.
, vol.45
, pp. 1157-1174
-
-
Stancu, A.1
-
27
-
-
84967541437
-
Asymptotic behavior of solutions to a crystalline flow
-
[S2]
-
[S2] Stancu, A., Asymptotic behavior of solutions to a crystalline flow, Hokkaido Math. J. 27 (1998) 303-320
-
(1998)
Hokkaido Math. J.
, vol.27
, pp. 303-320
-
-
Stancu, A.1
-
28
-
-
0000880047
-
Constructions and conjectures in crystalline nondifferential geometry
-
[T1] Proceedings of the Conference on Differential Geometry, Rio de Janeiro, Pitman London
-
[T1] Taylor, J. E., Constructions and conjectures in crystalline nondifferential geometry, Proceedings of the Conference on Differential Geometry, Rio de Janeiro, Pitman Monographs Surveys Pure Appl. Math. 52 (1991) 321-336, Pitman London
-
(1991)
Pitman Monographs Surveys Pure Appl. Math.
, vol.52
, pp. 321-336
-
-
Taylor, J.E.1
-
29
-
-
0026899706
-
Mean curvature and weighted mean curvature
-
[T2]
-
[T2] Taylor, J. E., Mean curvature and weighted mean curvature, Acta Metall. Mater. 40 (1992) 1475-1485
-
(1992)
Acta Metall. Mater.
, vol.40
, pp. 1475-1485
-
-
Taylor, J.E.1
-
30
-
-
0001664793
-
Motion of curves by crystalline curvature, including triple junctions and boundary points
-
[T3] Diff. Geom.: partial diff. eqs. on manifolds (Los Angeles, CA, 1990), Part I, AMS, Providence, RI
-
[T3] Taylor, J. E., Motion of curves by crystalline curvature, including triple junctions and boundary points, Diff. Geom.: partial diff. eqs. on manifolds (Los Angeles, CA, 1990), Proc. Sympos. Pure Math., 54 (1993), Part I, 417-438, AMS, Providence, RI
-
(1993)
Proc. Sympos. Pure Math.
, vol.54
, pp. 417-438
-
-
Taylor, J.E.1
-
31
-
-
0026899707
-
Geometric models of crystal growth
-
[TCH]
-
[TCH] Taylor, J. E., Cahn, J. W., Handwerker, C. A., Geometric models of crystal growth, Acta Metall. Mater. 40 (1992) 1443-1474
-
(1992)
Acta Metall. Mater.
, vol.40
, pp. 1443-1474
-
-
Taylor, J.E.1
Cahn, J.W.2
Handwerker, C.A.3
|