论文标题
全球存在薄弱解决方案的粘弹性相分离：第二部分退化病例
Global existence of weak solutions to viscoelastic phase separation: Part II Degenerate Case
论文作者
论文摘要
本文的目的是证明在粘弹性相分离的时间内全球存在。我们认为具有奇异潜力和退化迁移率的情况。我们的模型将扩散界面模型与粘弹性流体的Peterlin-Navier-Stokes方程式融合在一起。为了获得弱溶液的全局时间存在，我们通过具有规则电位的粘弹相分离的溶液来考虑适当的近似值，并基于相应的能量和熵估计。
The aim of this paper is to prove global in time existence of weak solutions for a viscoelastic phase separation. We consider the case with singular potentials and degenerate mobilities. Our model couples the diffusive interface model with the Peterlin-Navier-Stokes equations for viscoelastic fluids. To obtain the global in time existence of weak solutions we consider appropriate approximations by solutions of the viscoelastic phase separation with a regular potential and build on the corresponding energy and entropy estimates.
