THE COMPRESSIBLE MICROPOLAR FLUIDS MODEL: RELATIVE ENTROPIES, SUITABLE
WEAK SOLUTIONS AND WEAK-STRONG UNIQUENESS
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.