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On the Background of Limit Pass for Korteweg—de Vries Equation as the Dispersion Vanishes

In: KdV ’95

Author

Listed:
  • V. A. Galkin

    (Institute of Atomic Energetics, Department of Applied Mathematics)

  • V. V. Russkikh

    (Institute of Atomic Energetics, Department of Applied Mathematics)

Abstract

We present the new approach to the background of approximate methods of convergence based on the theory of functional solutions and solutions in the mean one for conservation laws. The applications to the Cauchy problem to KdV equation, when dispersion tends to zero are considered. Also the Galerkin method for a periodic problem for the KdV equation is considered.

Suggested Citation

  • V. A. Galkin & V. V. Russkikh, 1995. "On the Background of Limit Pass for Korteweg—de Vries Equation as the Dispersion Vanishes," Springer Books, in: Michiel Hazewinkel & Hans W. Capel & Eduard M. de Jager (ed.), KdV ’95, pages 307-314, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-0017-5_16
    DOI: 10.1007/978-94-011-0017-5_16
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