Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (3): 330-336.

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A Class of Singularly Perturbed Nonlinear Shock Problems

  

  1. Department of Mathematics,Huzhou Teachers College
  • Received:2005-01-25 Online:2008-09-30 Published:2023-09-20
  • About author:OUYANG Cheng(1964- ), female, native of Taining, Fujian, a professor of Huzhou Teachers College, M.S.D., engages in singular perturbation theory.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10471039);Supported by  the E-Institutes of Shanghai Municipal Education Commission(E03004);Supported by the Natural Science Foundation of Zhejiang Province(Y606268);

Abstract: Using the method of matched asymptotic expansions, the shock solutions for a class of singularly perturbed nonlinear problems are discussed. The relation of the shock solutions and their boundary conditions is obtained. And the known results are generalized.

Key words: nonlinear problem, shock wave, boundary layer, matching

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