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Asymptotic structure for solutions of the Cauchy problem for Burgers type equations

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Abstract.

Large time asymptotic structure for solutions of the Cauchy problem for a generalized Burgers equation is determined. In particular, Gelfand’s question about location of viscous shock waves for such equations is answered.

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Authors and Affiliations

  1. Université Pierre et Marie Curie, case 247, 75252, Paris, France

    G. M. Henkin

  2. CEMI, Academy of Science, 117418, Moscow, Russia

    G. M. Henkin

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  1. G. M. Henkin
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Correspondence to G. M. Henkin.

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Henkin, G.M. Asymptotic structure for solutions of the Cauchy problem for Burgers type equations. J.fixed point theory appl. 1, 239–291 (2007). https://doi.org/10.1007/s11784-007-0019-4

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  • DOI: https://doi.org/10.1007/s11784-007-0019-4

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