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The Singular Structure of Non-selfsimilar Global Solutions of n Dimensional Burgers Equation

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Abstract

We investigate the singular structure for n dimensional non-selfsimilar global solutions and interaction of non-selfsimilar elementary wave of n dimensional Burgers equation, where the initial discontinuity is a n dimensional smooth surface and initial data just contain two different constant states, global solutions and some new phenomena are discovered. An elegant technique is proposed to construct n dimensional shock wave without dimensional reduction or coordinate transformation.

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Authors and Affiliations

  1. Department of Mathematics, Shantou University, Shantou, Guangdong, 515063, China

    Xiao-zhou Yang

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  1. Xiao-zhou Yang
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Correspondence to Xiao-zhou Yang.

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Supported by the National Natural Science Foundation (10001023), Huo Ying-dong Fellowship (81004), Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, The China Scholarship Council, Natural Science Foundation of Guangdong (000804) and Natural Science Foundation of Guangdong Education Bureau (200030)

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Yang, Xz. The Singular Structure of Non-selfsimilar Global Solutions of n Dimensional Burgers Equation. Acta Mathematicae Applicatae Sinica, English Series 21, 505–518 (2005). https://doi.org/10.1007/s10255-005-0259-2

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  • DOI: https://doi.org/10.1007/s10255-005-0259-2

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