# zbMATH — the first resource for mathematics

On the uniqueness in critical spaces for compressible Navier-Stokes equations. (English) Zbl 1125.76061
In the present paper, after preliminary information on Besov spaces the author proves a uniqueness result for barotropic fluids, whenever the space dimension $$N\geq 2$$. In the last section of the paper the author states a uniqueness result for polytropic fluids for $$N\geq 3$$. Note that, some results presented here were left open in a previous study [Invent. Math. 141, No. 3, 579–614 (2000; Zbl 0958.35100), Arch. Ration. Mech. Anal. 160, No. 1, 1–39 (2001; Zbl 1018.76037)].

##### MSC:
 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics 35Q30 Navier-Stokes equations
##### Keywords:
Besov spaces; barotropic fluids; uniqueness
Full Text: