scholarly journals Weak–Strong Uniqueness Property for the Full Navier–Stokes–Fourier System

2012 ◽  
Vol 204 (2) ◽  
pp. 683-706 ◽  
Author(s):  
Eduard Feireisl ◽  
Antonín Novotný
Keyword(s):  
Navier Stokes ◽  
Strong Uniqueness ◽  
Uniqueness Property

scholarly journals On weak-strong uniqueness property for full compressible magnetohydrodynamics flows

2013 ◽  
Vol 11 (11) ◽  
Author(s):  
Weiping Yan
Keyword(s):  
Magnetic Field ◽  
Entropy Inequality ◽  
Compressible Fluids ◽  
Navier Stokes ◽  
Strong Uniqueness ◽  
Governing Equations ◽  
Uniqueness Property ◽  
Magnetohydrodynamic Flows ◽  
The Magnetic Field ◽  
Additional Equation

AbstractThis paper is devoted to the study of the weak-strong uniqueness property for full compressible magnetohydrodynamics flows. The governing equations for magnetohydrodynamic flows are expressed by the full Navier-Stokes system for compressible fluids enhanced by forces due to the presence of the magnetic field as well as the gravity and an additional equation which describes the evolution of the magnetic field. Using the relative entropy inequality, we prove that a weak solution coincides with the strong solution, emanating from the same initial data, as long as the latter exists.

scholarly journals Weak–strong uniqueness property for models of compressible viscous fluids near vacuum*

Nonlinearity ◽  
2021 ◽  
Vol 34 (9) ◽  
pp. 6627-6650
Author(s):  
Eduard Feireisl ◽  
Antonín Novotný
Keyword(s):  
Viscous Fluids ◽  
Strong Uniqueness ◽  
Uniqueness Property
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