Time-periodic solutions of the Burgers equation (Q848797)

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Time-periodic solutions of the Burgers equation
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    Time-periodic solutions of the Burgers equation (English)
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    23 February 2010
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    The purpose is to investigate the time-periodic solutions of the viscous Burgers equation \(u_t-\mu u_{xx}+uu_x=f\) in the case of irregular forcing terms. The authors show that the Burgers operator related to the Burgers equation is a diffeomorphism between some time periodic anisotropic Sobolev spaces.
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    anisotropic fractional Sobolev spaces
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    Hilbert transform
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    irregular forcing
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    diffeomorphism
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