Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions
Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions
复制标题
非等温相变非局部相场模型的全局存在性和渐近行为
DOI：
10.1016/s0022-247x(02)00559-0
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Songmu Zheng
中科院分区：
文献类型：
--
作者：
J. Sprekels;Songmu Zheng
本文研究了具有非守恒序参量的非等温相变的非局域相场模型。本文将最近的研究扩展到非等温情况，补充了H。在非等温情况下相分离现象中守恒序参量。本文所研究的场方程形成了一个高度非线性耦合的积分-偏微分方程组。对于这个系统，有关的整体存在性，唯一性和大时间渐近行为的结果。主要结果证明了使用的技术，最近已经开发的P. Krejčí和作者的相场系统，涉及滞后算子。
In this paper a nonlocal phase-field model for non-isothermal phase transitions with a non-conserved order parameter is studied. The paper extends recent investigations to the non-isothermal situation, complementing results obtained by H. Gajewski for the non-isothermal case for conserved order parameters in phase separation phenomena. The resulting field equations studied in this paper form a system of integro-partial differential equations which are highly nonlinearly coupled. For this system, results concerning global existence, uniqueness and large-time asymptotic behaviour are derived. The main results are proved using techniques that have been recently developed by P. Krejčí and the authors for phase-field systems involving hysteresis operators.