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Global Propagation of Regular Nonlinear Hyperbolic Waves

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Recent Progress in Computational and Applied PDES

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Abstract

In this work we shall consider the nonlinear hyperbolic waves described by the following Cauchy problem for first order quasilinear hyperbolic systems

$$ \left\{ \matrix{ {{\partial u} \over {\partial t}} + {\rm A}\left( u \right){{\partial u} \over {\partial x}} = 0, \hfill \cr t = 0:u = \varphi \left( x \right), \hfill \cr} \right. $$
(1,2)

where u = (u 1, ... ,u n )T is the unknown vector function of (t,x), A(u) = (a ij (u))is an n × n matrix with suitably smoothentrics a ij (u) (i, j =1, ... ,n) and φ(x) = (φ 1(x), ... , φ n (x))T is a C 1 vector function of x with bounded C 1norm.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Fudan University, Shanghai, 200433, China

    Tatsien Li

Authors
  1. Tatsien Li
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Editor information

Editors and Affiliations

  1. University of California at Los Angeles, Los Angeles, California, USA

    Tony F. Chan

  2. Xiangtan University, Xiangtan City of Hunan, China

    Yunqing Huang

  3. Hong Kong Baptist University, Hong Kong, China

    Tao Tang

  4. Pennsylvania State University, University Park, Pennsylvania, USA

    Jinchao Xu

  5. Peking University, Beijing, China

    Long-An Ying

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© 2002 Springer Science+Business Media New York

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Li, T. (2002). Global Propagation of Regular Nonlinear Hyperbolic Waves. In: Chan, T.F., Huang, Y., Tang, T., Xu, J., Ying, LA. (eds) Recent Progress in Computational and Applied PDES. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0113-8_18

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  • DOI: https://doi.org/10.1007/978-1-4615-0113-8_18

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4929-7

  • Online ISBN: 978-1-4615-0113-8

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