Stability of self-similar solutions in a simplified LSW model

被引：12

作者：

Carr, J. ^{[1
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2006年 / 222卷 / 1-2期

关键词：

Lifshitz-Slyozov model; domain coarsening; self-similarity;

D O I：

10.1016/j.physd.2006.07.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the large-time asymptotics of solutions to a simplified Lifshitz-Slyozov-Wagner (LSW) model of domain coarsening. In earlier work it was shown that the asymptotics of solutions to the LSW model depend in a sensitive way on the behaviour of the initial data near the end of its support. For the simplified LSW model we characterise the domains of attraction of all the self-similar solutions. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：73 / 79

页数：7

共 50 条

[11] On the Stability of Self-Similar Solutions to Nonlinear Wave Equations
Costin, Ovidiu
Donninger, Roland
Glogic, Irfan
Huang, Min
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2016, 343 (01) : 299 - 310
[12] ASYMPTOTIC STABILITY OF MANIFOLD OF SELF-SIMILAR SOLUTIONS ON SELF-FOCUSING
FRAIMAN, GM
ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI, 1985, 88 (02): : 390 - 400
[13] Soliton self-frequency shift: Self-similar solutions and their stability
Facao, M.
Carvalho, M. I.
Parker, D. F.
PHYSICAL REVIEW E, 2010, 81 (04):
[14] Self-similar and asymptotically self-similar solutions of nonlinear wave equations
Hartmut Pecher
Mathematische Annalen, 2000, 316 : 259 - 281
[15] Self-similar and asymptotically self-similar solutions of nonlinear wave equations
Pecher, H
MATHEMATISCHE ANNALEN, 2000, 316 (02) : 259 - 281
[16] Self-similar solutions and translating solutions
Lee, Yng-Ing
COMPLEX AND DIFFERENTIAL GEOMETRY, 2011, 8 : 193 - 203
[17] Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations
Donninger, Roland
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2010, 35 (04) : 669 - 684
[18] Self-similar solutions in ion-exchange membranes and their stability
Kalaidin, E. N.
Polyanskikh, S. V.
Demekhin, E. A.
DOKLADY PHYSICS, 2010, 55 (10) : 502 - 506
[19] Self-similar solutions in ion-exchange membranes and their stability
E. N. Kalaĭdin
S. V. Polyanskikh
E. A. Demekhin
Doklady Physics, 2010, 55 : 502 - 506
[20] Self-Similar Solutions to a Kinetic Model for Grain Growth
Michael Herrmann
Philippe Laurençot
Barbara Niethammer
Journal of Nonlinear Science, 2012, 22 : 399 - 427

← 1 2 3 4 5 →