Existence and uniqueness results for viscous, heat-conducting 3-D fluid with vacuum

Details Existence and uniqueness results for viscous, heat-conducting 3-D fluid with vacuum Existence and uniqueness results for viscous, heat-conducting 3-D fluid with vacuum

2007-02-07

arxiv.org/abs/math/0702170v1

Mathematics

Analysis of PDEs

36 pages

Scientific paper

We consider the 3-D full Navier-Stokes equations whose the viscosity coefficients and the thermal conductivity coefficient depend on the density and the temperature. We prove the local existence and uniqueness of the strong solution in a domain $\Omega\subset\mathbb{R}^3$. The initial density may vanish in an open set and $\Omega$ could be a bounded or unbounded domain. We also prove a blow-up criterion for the solution. Finally, we show the blow-up of the smooth solution to the compressible Navier-Stokes equations in $\mathbb{R}^n$ ($n\geq1$) when the initial density has compactly support and the initial total momentum is nonzero.

Affiliated with

Also associated with

No associations

Rating

Existence and uniqueness results for viscous, heat-conducting 3-D fluid with vacuum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Existence and uniqueness results for viscous, heat-conducting 3-D fluid with vacuum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence and uniqueness results for viscous, heat-conducting 3-D fluid with vacuum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-218935