Improved lifespan of solutions to an inviscid surface quasi-geostrophic model
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Date
2017-11-21
Authors
Wen, Zhihong
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article consider the two-dimensional (2D) inviscid surface quasi-geostrophic (SQG) model. By studying the decay estimate of the operator eR21t, we obtain an improved lifespan of the solutions to the corresponding model. More precisely, if the initial data is of size ε, then the lifespan satisfies Tε ≃ ε-4/3, which improves the result obtained via hyperbolic methods.
Description
Keywords
Surface quasi-geostrophic equation, Lifespan, Decay estimate
Citation
Wen, Z. (2017). Improved lifespan of solutions to an inviscid surface quasi-geostrophic model. <i>Electronic Journal of Differential Equations, 2017</i>(290), pp. 1-6.