Weak-strong uniqueness for a class of generalized dissipative weak solutions for non-homogeneous, non-Newtonian and incompressible fluids

We consider a system of PDEs describing a non-homogeneous, non-Newtonian and incompressible fluid in a space-periodic domain. We define the generalized dissipative weak solutions as well as give a proof of its existence, when the boundary data is provided. The main result of this work is the weak-strong uniqueness of the defined solutions. (C) 2021 The Author (s). Published by Elsevier Ltd.

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The paper discusses a system of PDEs describing a non-homogeneous, non-Newtonian and incompressible fluid in a space-periodic domain. It defines generalized dissipative weak solutions and proves their existence with provided boundary data. The main result of the work is the weak-strong uniqueness of the defined solutions.