4.3 Article

Suitable Weak Solutions to the Navier-Stokes Equations of Compressible Viscous Fluids

Journal

INDIANA UNIVERSITY MATHEMATICS JOURNAL
Volume 60, Issue 2, Pages 611-631

Publisher

INDIANA UNIV MATH JOURNAL
DOI: 10.1512/iumj.2011.60.4406

Keywords

compressible Navier-Stokes system; weak-strong uniqueness; suitable weak solutions

Categories

Funding

  1. GACR [201/08/0315]
  2. Academy of Sciences of the Czech Republic [AV0Z10190503]
  3. Necas Center for Mathematical Modeling [LC06052]
  4. MSMT
  5. Chinese-French Summer Research Institute Project on Stress Tensor Effects on Fluid Mechanics
  6. NSFC [10771097, 10931007]

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We introduce a class of suitable weak solutions to the Navier-Stokes system of equations governing the motion of a compressible viscous fluid. These solutions satisfy the relative entropy inequality introduced by several authors, and, in particular, they enjoy the weak-strong uniqueness property.

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