Improved lifespan of solutions to an inviscid surface quasi-geostrophic model

This article consider the two-dimensional (2D) inviscid surface quasi-geostrophic (SQG) model. By studying the decay estimate of the operator $e^{\mathcal{R}_1^{2}t}$, we obtain an improved lifespan of the solutions to the corresponding model. More precisely, if the initial data is of size $\ep...

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Bibliographic Details
Main Author: Zhihong Wen
Format: Article
Language:English
Published: Texas State University 2017-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/290/abstr.html