×

zbMATH — the first resource for mathematics

Some remarks to the compactness of steady compressible isentropic Navier-Stokes equations via the decomposition method. (English) Zbl 0852.76077
We investigate the title problem using the method of decomposition. We find the compactness of the incompressible part \(u\) of the velocity field \(v\) and we give a new proof of the compactness of the “effective pressure” \({\mathcal P} = \rho^\gamma - (2 \mu_1 + \mu_2) \text{div} v\). We derive some new estimates of these quantities in Hardy and Triebel-Lizorkin spaces.

MSC:
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35Q30 Navier-Stokes equations
PDF BibTeX XML Cite
Full Text: EuDML