We consider the compressible Navier-Stokes system describing the motion of a viscous fluid confined to a straight layer. We show that the weak solutions in the 3D domain converge strongly to the solution of the 2D incompressible Navier-Stokes equations (Euler equations) when the Mach number tends to zero as well as (and the viscosity goes to zero).

Low Mach number limit on thin domains

Caggio M.;Donatelli D.;
2020-01-01

Abstract

We consider the compressible Navier-Stokes system describing the motion of a viscous fluid confined to a straight layer. We show that the weak solutions in the 3D domain converge strongly to the solution of the 2D incompressible Navier-Stokes equations (Euler equations) when the Mach number tends to zero as well as (and the viscosity goes to zero).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/145512
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