论文标题

在三个空间维度中的粘弹性相分离模型的全局弱解的存在和弱唯一性

Existence and weak-strong uniqueness for global weak solutions for the viscoelastic phase separation model in three space dimensions

论文作者

Brunk, Aaron

论文摘要

这项工作的目的是证明在三个空间维度中的粘弹性相分离模型的全球及时存在。为此,我们应用了[3]提供的相对能量概念。我们考虑了常规多项式型电势和正迁移率的情况,以及具有对数电势和消失迁移率的退化情况。

The aim of this work is to prove the global-in-time existence of weak solutions for a viscoelastic phase separation model in three space dimensions. To this end we apply the relative energy concept provided by [3]. We consider the case of regular polynomial-type potentials and positive mobilities, as well as the degenerate case with logarithmic potential and vanishing mobility.

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