与熵平衡相关的积分微分系统的奇异极限
偏微分方程分析
2015-01-09 v2
摘要
研究了一个描述具有热记忆的相变的热力学模型，涉及熵方程和微力的动量平衡。当记忆核序列在适当意义下收敛到狄拉克δ函数的倍数时，证明了相关积分微分偏微分方程组的收敛结果和误差估计。
引用
@article{arxiv.1301.2806,
title = {Singular limit of an integrodifferential system related to the entropy balance},
author = {Elena Bonetti and Pierluigi Colli and Gianni Gilardi},
journal= {arXiv preprint arXiv:1301.2806},
year = {2015}
}
备注
Key words: entropy equation, thermal memory, phase field model, nonlinear partial differential equations, asymptotics on the memory term