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THE COMPRESSIBLE MICROPOLAR FLUIDS MODEL: RELATIVE ENTROPIES, SUITABLE WEAK SOLUTIONS AND WEAK-STRONG UNIQUENESS
  • JINGRUI SU
JINGRUI SU
Taizhou University

Corresponding Author:[email protected]

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Abstract

We investigate the relative entropies, suitable weak solutions and weak-strong uniqueness to the compressible micropolar fluids model. Motivated by Feireisl et al.[[8]](#ref-0008), we introduce the relative entropy functional E( ρ, u , ω; r, U, W), and define the finitie weak solutions to the the compressible micropolar fluids model, similarly. Then, we show that any finitie weak solutions satisfy the relative entropy inequality. As an application, we obtain the weak-strong uniqueness property, meaning that any finitie weak solutions coincide with strong solutions emanating from the same initial data as long as the latter exist.