具有非光滑应力-应变关系的粘弹塑性流体模型的Leray-Hopf解
Leray-Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress-strain relation
摘要：
我们考虑一个包含粘弹性和粘塑性效应的流体模型。该状态由流体速度和内部应力张量给出，该内部应力张量沿着具有Zaremba-Jaumann导数的流动被传输。此外，应力张量服从非线性和非光滑耗散规律以及应力扩散。在速度场的一般Dirichlet条件和应力张量的Neumann条件下，证明了满足能量不等式的整体时间弱解的存在性.
英文摘要：
We consider a fluid model including viscoelastic and viscoplastic effects. The state is given by the fluid velocity and an internal stress tensor that is transported along the flow with the Zaremba-Jaumann derivative. Moreover, the stress tensor obeys a nonlinear and nonsmooth dissipation law as well as stress diffusion. We prove the existence of global-in-time weak solutions satisfying an energy inequality under general Dirichlet conditions for the velocity field and Neumann conditions for the stress tensor.
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