On the uniqueness in critical spaces for compressible Navier-Stokes equations (Q2487815)

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)].