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arXiv:1205.0780 [math.AP]AbstractReferencesReviewsResources

Time-Periodic Solutions of the Burgers Equation

Magnus Fontes, Olivier Verdier

Published 2012-05-03Version 1

We investigate the time periodic solutions to the viscous Burgers equation $u_t -\mu u_{xx} + uu_x = f$ for irregular forcing terms. We prove that the corresponding Burgers operator is a diffeomorphism between appropriate function spaces.

Journal: Journal of Mathematical Fluid Mechanics, 11 (2) 2009, pp 303-323
Categories: math.AP
Subjects: 35K55, 35B10, 35B45
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