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We consider the compressible Navier-Stokes system describing the motion of a viscous fluid confined to a straight layer $\Omega_{\delta}=(0,\delta)\times\mathbb{R}^2$. We show that the weak solutions in the 3D domain converge… Click to show full abstract
We consider the compressible Navier-Stokes system describing the motion of a viscous fluid confined to a straight layer $\Omega_{\delta}=(0,\delta)\times\mathbb{R}^2$. 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 $\epsilon $ tends to zero as well as $\delta\rightarrow 0$ (and the viscosity goes to zero).
Keywords:
limit thin;
thin domains;
low mach;
number;
number limit;
mach number
Journal Title: Nonlinearity
Year Published: 2020
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Journal Title: Nonlinearity
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!