書誌事項

Nonlinear systems of partial differential equations in applied mathematics

edited by Basil Nicolaenko, Darryl D. Holm, James M. Hyman

(Lectures in applied mathematics, v. 23)

American Mathematical Society, 1986

  • Pt. l
  • Pt. 2
  • : set

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注記

"Proceedings of the SIAM-AMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics" -- T.p. verso

Hosted by the Los Alamos Center for Nonlinear Studies and held at the College of Santa Fe, 1984

Includes bibliographies

内容説明・目次

内容説明

These two volumes of 47 papers focus on the increased interplay of theoretical advances in nonlinear hyperbolic systems, completely integrable systems, and evolutionary systems of nonlinear partial differential equations. The papers both survey recent results and indicate future research trends in these vital and rapidly developing branches of PDEs. The editor has grouped the papers loosely into the following five sections: integrable systems, hyperbolic systems, variational problems, evolutionary systems, and dispersive systems. However, the variety of the subjects discussed as well as their many interwoven trends demonstrate that it is through interactive advances that such rapid progress has occurred.These papers require a good background in partial differential equations. Many of the contributors are mathematical physicists, and the papers are addressed to mathematical physicists (particularly in perturbed integrable systems), as well as to PDE specialists and applied mathematicians in general.

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