A Model Problem for the Motion of a Compressible , Viscous Fluid Flow with the No-Slip Boundary Condition

Content Provider	Semantic Scholar
Author	Perepelitsa, Mikhail
Copyright Year	2006
Abstract	We consider the system of Navier-Stokes equations as a model of the motion of compressible, viscous, “pressureless” fluids in the domain Ω = R+ with the no-slip boundary condition. We construct a global in time regular weak solution, provided that the initial density, ρ0, is bounded and the magnitude of the initial velocity u0 is suitably restricted in the semi-norm ‖ √ ρ0(·)u0(·)‖L2(Ω) + ‖∇u0(·)‖L2(Ω).
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.math.ntnu.no/conservation/2006/058.pdf
Alternate Webpage(s)	https://www.math.ntnu.no/conservation/2006/058.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article