Compressible flows with a density-dependent viscosity coefficient

Details Compressible flows with a density-dependent viscosity coefficient Compressible flows with a density-dependent viscosity coefficient

2009-01-04

arxiv.org/abs/0901.0352v2

Mathematics

Analysis of PDEs

32 pages

Scientific paper

We prove the global existence of weak solutions for the 2-D compressible Navier-Stokes equations with a density-dependent viscosity coefficient ($\lambda=\lambda(\rho)$). Initial data and solutions are small in energy-norm with nonnegative densities having arbitrarily large sup-norm. Then, we show that if there is a vacuum domain at the initial time, then the vacuum domain will retain for all time, and vanishes as time goes to infinity. At last, we show that the condition of $\mu=$constant will induce a singularity of the system at vacuum. Thus, the viscosity coefficient $\mu$ plays a key role in the Navier-Stokes equations.

Affiliated with

Also associated with

No associations

Rating

Compressible flows with a density-dependent viscosity coefficient 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 Compressible flows with a density-dependent viscosity coefficient, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compressible flows with a density-dependent viscosity coefficient will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-456404