Asymptotic Compactness and Attractors for Phase-Field Equations in ℝ3

被引：0
|
作者：
Francisco Morillas
José Valero
机构：
[1] Universidad Politécnica de Valencia,Dpto. de Ingeniería Hidráulica y Medio Ambiente
[2] Universidad Miguel Hernández,Centro de Investigación Operativa
来源：
Set-Valued Analysis | 2008年 / 16卷
关键词：
Setvalued dynamical system; Global attractor; Phase-field equations; Unbounded domain; 35B40; 35B41; 35K55; 35K57; 37B25; 58C06;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we study the asymptotic behaviour of solutions of the phase-field system on an unbounded domain. We do not assume conditions on the non-linear term ensuring the uniqueness of the Cauchy problem, so that we have to work with multivalued semiflows rather than with semigroups of operators. In this way we prove the existence of a global attractor by considering the convergence in an appropriate weighted space. This result is also new for more restrictive conditions, which guarantee the uniqueness of solutions.
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页码：861 / 897
页数：36
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