Growth of solutions for QG and 2D Euler equations

Details Growth of solutions for QG and 2D Euler equations Growth of solutions for QG and 2D Euler equations

2001-01-30

arxiv.org/abs/math/0101243v1

Mathematics

Analysis of PDEs

8 pages

Scientific paper

We study the rate of growth of sharp fronts of the Quasi-geostrophic equation
and 2D incompressible Euler equations.. The development of sharp fronts are due
to a mechanism that piles up level sets very fast. Under a semi-uniform
collapse, we obtain a lower bound on the minimum distance between the level
sets.

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