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Time-Periodic Solutions of the Burgers Equation

Author

  • Magnus Fontes
  • Olivier Verdier

Summary, in English

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.

Publishing year

2009

Language

English

Pages

303-323

Publication/Series

Journal of Mathematical Fluid Mechanics

Volume

11

Document type

Journal article

Publisher

Birkhäuser Verlag

Topic

  • Mathematics

Keywords

  • Burgers Equation
  • Time-periodicity
  • Analysis

Status

Published

ISBN/ISSN/Other

  • ISSN: 1422-6928