On one multidimensional compressible nonlocal model of the dissipative QG equations

Details On one multidimensional compressible nonlocal model of the dissipative QG equations On one multidimensional compressible nonlocal model of the dissipative QG equations

2011-11-21

arxiv.org/abs/1111.4851v2

Mathematics

Analysis of PDEs

24 pages

Scientific paper

In this paper we study the Cauchy problem for one multidimensional compressible nonlocal model of the dissipative quasi-geostrophic equations. First, we obtain the local existence and uniqueness of the smooth non-negative solution or the strong solution in time. Secondly, for the sub-critical and critical case $1\le\alpha\leq 2$, we obtain the global existence and uniqueness results of the nonnegative smooth solution. Then, we prove the global existence of the weak solution for $0\le \alpha\le 2$ and $\nu\ge 0$. Finally, for the sub-critical case, we establish the global $H^1$ and $L^p, p>2,$ decay rate of the smooth solution as $t\to\infty$.

Affiliated with

Also associated with

No associations

Rating

On one multidimensional compressible nonlocal model of the dissipative QG equations 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 On one multidimensional compressible nonlocal model of the dissipative QG equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On one multidimensional compressible nonlocal model of the dissipative QG equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-376810