Simplified a priori estimate for the time periodic Burgers’ equation; pp. 34–41

We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgersâ equation with irregular forcing terms (with Sobolev regularity â1 in space). The key result here is an a priori estimate which is simpler than the previously treated case of forcing te...

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Bibliographic Details
Published in:Proceedings of the Estonian Academy of Sciences
Main Authors: Magnus Fontes, Olivier Verdier
Format: Article
Language:English
Published: Estonian Academy Publishers 2010-03-01
Online Access:https://kirj.ee/public/proceedings_pdf/2010/issue_1/proc-2010-1-34-41.pdf
Description
Summary:We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgersâ equation with irregular forcing terms (with Sobolev regularity â1 in space). The key result here is an a priori estimate which is simpler than the previously treated case of forcing terms with regularity â½ in time.
ISSN:1736-6046
1736-7530