Global solution to a generalized nonisothermal Ginzburg-Landau system

被引:1
|
作者
Fterich, Nesrine [1 ]
机构
[1] Univ Poitiers, Lab Math & Applicat, CNRS, UMR 6086,SP2MI, F-86962 Futuroscope, France
关键词
nonisothermal Ginzburg-Landau (Allen-Cahn) system; microforce balance; existence and uniqueness results; renormalized solutions; Moser iterations; PHASE-TRANSITION MODEL; DIMENSIONAL FULL MODEL; DIFFERENTIAL-EQUATIONS; FIELD MODEL; EXISTENCE; ACCELERATIONS; SPACE;
D O I
10.1007/s10492-010-0001-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The article deals with a nonlinear generalized Ginzburg-Landau (Allen-Cahn) system of PDEs accounting for nonisothermal phase transition phenomena which was recently derived by A. Miranville and G. Schimperna: Nonisothermal phase separation based on a microforce balance, Discrete Contin. Dyn. Syst., Ser. B, 5 (2005), 753-768. The existence of solutions to a related Neumann-Robin problem is established in an N a (c) 1/2 3- dimensional space setting. A fixed point procedure guarantees the existence of solutions locally in time. Next, Sobolev embeddings, interpolation inequalities, Moser iterations estimates and results on renormalized solutions for a parabolic equation with L (1) data are used to handle a suitable a priori estimate which allows to extend our local solutions to the whole time interval. The uniqueness result is justified by proper contracting estimates.
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页码:1 / 46
页数:46
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