On the Classical Solutions of Two Dimensional Inviscid Rotating Shallow Water System

Details On the Classical Solutions of Two Dimensional Inviscid Rotating Shallow Water System On the Classical Solutions of Two Dimensional Inviscid Rotating Shallow Water System

2009-06-26

arxiv.org/abs/0906.4797v2

Mathematics

Analysis of PDEs

1st version: 23 pages. 2nd version: add references at the end of second paragraph after Theorem 1.1; the third paragraph after

Scientific paper

We prove global existence and asymptotic behavior of classical solutions for two dimensional inviscid Rotating Shallow Water system with small initial data subject to the zero-relative-vorticity constraint. One of the key steps is a reformulation of the problem into a symmetric quasilinear Klein-Gordon system, for which the global existence of classical solutions is then proved with combination of the vector field approach and the normal forms. We also probe the case of general initial data and reveal a lower bound for the lifespan that is almost inversely proportional to the size of the initial relative vorticity.

Affiliated with

Also associated with

No associations

Rating

On the Classical Solutions of Two Dimensional Inviscid Rotating Shallow Water System 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 the Classical Solutions of Two Dimensional Inviscid Rotating Shallow Water System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Classical Solutions of Two Dimensional Inviscid Rotating Shallow Water System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670049