Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (4): 584-592.

• Articles • Previous Articles    

Nonlinear Transformation and Non selfsimilar Solution of Conservation Laws

 YANG Xiao-Zhou   

  • Online:2005-08-25 Published:2005-08-25
  • Supported by:

    国家自然科学基金(10001023), 霍英东基金(81004),教育部留学回国人员科研启动基金,国家留学基 金,广东省自然科学基金(000804)和广东省教育厅自然科学项目(200030)资助

Abstract:

The author proposes a kind of nonlinear transformation, u nder which the n dimensional scalar conservation laws and its initial value  are  transformed into one dimensional situation at the same time. The non selfsimilar global solution and the expression of elementary wave are obtained. The author  also discovers the essential difference and connection between non selfsimilar and selfsimilar solutions.

Key words: Non selfsimilar solution, Multi dimensional conservati on laws, Shock wave, Rarefaction wave

CLC Number: 

  • 35L65
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