Global smooth solutions of Euler equations for Van der Waals gases

Details Global smooth solutions of Euler equations for Van der Waals gases Global smooth solutions of Euler equations for Van der Waals gases

2010-03-25

arxiv.org/abs/1003.4903v1

Mathematics

Analysis of PDEs

Scientific paper

We prove global in time existence of solutions of the Euler compressible equations for a Van der Waals gas when the density is small enough in $\H{m}$, for $m$ large enough. To do so, we introduce a specific symmetrisation allowing areas of null density. Next, we make estimates in $\H{m}$, using for some terms the estimates done by M. Grassin, who proved the same theorem in the easier case of a perfect polytropic gas. We treat the remaining terms separately, due to their non-linearity.

Affiliated with

Also associated with

No associations

Rating

Global smooth solutions of Euler equations for Van der Waals gases 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 Global smooth solutions of Euler equations for Van der Waals gases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global smooth solutions of Euler equations for Van der Waals gases will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556479