Weak-strong uniqueness of incompressible magneto-viscoelastic flows

Wenjing Zhao

doi:10.3934/cpaa.2020127

Article Contents

2020, Volume 19, Issue 5: 2907-2917. Doi: 10.3934/cpaa.2020127

This issue Previous Article Existence of ground state solution and concentration of maxima for a class of indefinite variational problems Next Article Bôcher-type results for the fourth and higher order equations on singular manifolds with conical metrics

Weak-strong uniqueness of incompressible magneto-viscoelastic flows

Wenjing Zhao

Department of Mathematics, College of Sciences, Northeastern University, Shenyang 110819, China

Received: July 31, 2019

Revised: August 31, 2019

Published: March 2020

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Abstract

Our aim in this paper is to prove the weak-strong uniqueness property of solutions to a hydrodynamic system that models the dynamics of incompressible magneto-viscoelastic flows. The proof is based on the relative energy approach for the compressible Navier-Stokes system.

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Mathematics Subject Classification: Primary: 76W05, 76B03; Secondary: 35Q35.

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