Zero dissipation limit of full compressible Navier-Stokes equations with Riemann initial data

Details Zero dissipation limit of full compressible Navier-Stokes equations with Riemann initial data Zero dissipation limit of full compressible Navier-Stokes equations with Riemann initial data

2012-03-06

arxiv.org/abs/1203.1230v1

Mathematics

Analysis of PDEs

28 pages

Scientific paper

We consider the zero dissipation limit of the full compressible Navier-Stokes equations with Riemann initial data in the case of superposition of two rarefaction waves and a contact discontinuity. It is proved that for any suitably small viscosity $\varepsilon$ and heat conductivity $\kappa$ satisfying the relation \eqref{viscosity}, there exists a unique global piecewise smooth solution to the compressible Navier-Stokes equations. Moreover, as the viscosity $\varepsilon$ tends to zero, the Navier-Stokes solution converges uniformly to the Riemann solution of superposition of two rarefaction waves and a contact discontinuity to the corresponding Euler equations with the same Riemann initial data away from the initial line $t=0$ and the contact discontinuity located at $x=0$.

Affiliated with

Also associated with

No associations

Rating

Zero dissipation limit of full compressible Navier-Stokes equations with Riemann initial data 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 Zero dissipation limit of full compressible Navier-Stokes equations with Riemann initial data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero dissipation limit of full compressible Navier-Stokes equations with Riemann initial data will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-537584