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).File in questo prodotto:
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InviscidThinLimit-Final.pdf
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