首页|A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations
A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations
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Fourier analysis methods and in particular techniques based on Littlewood-Paley decomposition and paraproduct have known a growing interest recently for the study of nonlinear evolutionary equations.In this survey paper,we explain how these methods may be implemented so as to study the compresible Navier-Stokes equations in the whole space.We shall investigate both the initial value problem in critical Besov spaces and the low Mach number asymptotics.
compressible fluidscritical regularityBesov spacesFourier analysisMach number
DANCHIN Rapha(e)l
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LAMA UMR 8050, Université Paris-Est, 61, avenue du Général de Gaulle, 94010 Créteil Cedex, France
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