论文标题
非局部penrose的存在 - 惯性术语
Existence for a nonlocal Penrose--Fife type phase field system with inertial term
论文作者
论文摘要
本文介绍了具有惯性术语的非本地Penrose-Fife类型相位田地系统。我们不知道我们是否可以参考Colli-Grasselli- Ito [Electron。 J.微分方程2002，第100号，第32页。在本文中，我们介绍了一个时间离散化方案（请参阅第2节），将其传递到限制，因为时间步骤$ h $转至$ 0 $，并获得了连续和离散解决方案之间差异的错误估算（请参阅第5节）。
This article deals with a nonlocal Penrose-Fife type phase field system with inertial term. We do not know whether we can prove existence of solutions in reference to Colli--Grasselli--Ito [Electron. J. Differential Equations 2002, No. 100, 32 pp.] or not (see Remark 1.1). In this paper we introduce a time discretization scheme (see Section 2), pass to the limit as the time step $h$ goes to $0$ and obtain an error estimate for the difference between continuous and discrete solutions (see Section 5).
