Maximal Lp-regularity and long-time behaviour of the non-isothermal Cahn-Hilliard equation with dynamic boundary conditions

被引：0
|
作者：
Pruess, Jan [1 ]
Wilke, Mathias [1 ]
机构：
[1] Univ Halle Wittenberg, Fachbereich Math & Informat, Theodor Lieser Str 5, D-06120 Halle, Germany
来源：
PARTIAL DIFFERENTIAL EQUATIONS AND FUNCTIONAL ANALYSIS: THE PHILIPPE CLEMENT FESTSCHRIFT | 2006年 / 168卷
关键词：
conserved phase field models; Cahn-Hilliard equation; dynamic boundary condition; maximal regularity; Lojasiewicz-Simon inequality; convergence to steady states;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the nonlinear Cahn-Hilliard equation with nonconstant temperature and dynamic boundary conditions. We show maximal L-p-regularity for this problem with inhomogeneous boundary data. Furthermore we show global existence and use the Lojasiewicz-Simon inequality to show that each solution converges to a steady state as time tends to infinity, as soon as the potential Phi and the latent heat lambda satisfy certain growth conditions.
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页码：209 / +
页数：3
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