The Navier-Stokes equations for the motion of compressible, viscous fluid flows with the no-slip boundary condition
نویسنده
چکیده
The Navier-Stokes equations for the motion of compressible, viscous fluids in the half-space R+ with the no-slip boundary condition are studied. Given a constant equilibrium state (ρ̄, 0), we construct a global in time, regular weak solution, provided that the initial data ρ0,u0 are close to the equilibrium state when measured by the norm |ρ0 − ρ̄|L∞ + |u0|H1 and discontinuities of ρ0 decay near the boundary of R+. 0.
منابع مشابه
A Model Problem for the Motion of a Compressible, Viscous Fluid Flow with the No-Slip Boundary Condition
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