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Large-Time Behavior of the Solutions to Rosenau-Type Approximations to the Heat Equation

  • Autores: Thomas Rey, Giuseppe Toscani
  • Localización: Siam journal on applied mathematics, ISSN 0036-1399, Vol. 73, Nº 4, 2013, págs. 1416-1438
  • Idioma: inglés
  • DOI: 10.1137/120876290
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • In this article we study the large-time behavior of the solution to a general Rosenau type approximation to the heat equation [P. Rosenau, Phys. Rev. A (3), 46 (1992), pp. 12--15], by showing that the solution to this approximation approaches the fundamental solution of the heat equation (the heat kernel), but at a slower rate than the usual heat equation. This result is valid in particular for the central difference scheme approximation of the heat equation, a property which to our knowledge has never been observed before


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