Low Mach number limit for viscous compressible flows
Raphaël Danchin (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this survey paper, we are concerned with the zero Mach number limit for compressible viscous flows. For the sake of (mathematical) simplicity, we restrict ourselves to the case of fluids and we assume that the flow evolves in the whole space or satisfies periodic boundary conditions. We focus on the case of . Hence highly oscillating acoustic waves are likely to propagate through the fluid. We nevertheless state the convergence to the incompressible Navier-Stokes equations...