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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
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