Zhihong Wen
Abstract:
This article consider the two-dimensional (2D) inviscid surface
quasi-geostrophic (SQG) model. By studying the decay estimate of the
operator
,
we obtain an improved lifespan
of the solutions to the corresponding model. More precisely,
if the initial data is of size
,
then the lifespan satisfies
,
which improves the result obtained
via hyperbolic methods.
Submitted November 10, 2016. Published November 21, 2017.
Math Subject Classifications: 35B35, 35Q35, 76B03.
Key Words: Surface quasi-geostrophic equation; lifespan; decay estimate.
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Zhihong Wen Department of Mathematics and Statistics Jiangsu Normal University 101 Shanghai Road Xuzhou 221116, Jiangsu, China email: wenzhihong1989@163.com |
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