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arxiv: 1205.0780 · v1 · pith:YV7FELUNnew · submitted 2012-05-03 · 🧮 math.AP

Time-Periodic Solutions of the Burgers Equation

classification 🧮 math.AP
keywords burgersequationsolutionsappropriatecorrespondingdiffeomorphismforcingfunction
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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.

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