Quasi-geostrophic equations with initial data in Banach spaces of local measures

This paper studies the well posedness of the initial value problem for the quasi-geostrophic type equations $$displaylines{ partial_{t}heta+u ablaheta+( -Delta) ^{gamma}heta =0 quad hbox{on }mathbb{R}^{d}imes] 0,+infty[cr heta( x,0) =heta_{0}(x), quad xinmathbb{R}^{d} }$$ where 0 less than $gammal...

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Bibliographic Details
Main Author: Sadek Gala
Format: Article
Language:English
Published: Texas State University 2005-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/63/abstr.html