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
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