Asymptotic behaviour of the porous media equation in an exterior domain

Fernando Quirós; Juan Luis Vazquez

Displaying similar documents to “Asymptotic behaviour of the porous media equation in an exterior domain”

Asymptotic behaviour in planar vortex theory

Antonio Ambrosetti, Jian Fu Yang (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The asymptotic behaviour of solutions of a class of free-boundary problems arising in vortex theory is discussed.

Fundamental solutions and asymptotic behaviour for the p-Laplacian equation.

Soshana Kamin, Juan Luis Vázquez (1988)

Revista Matemática Iberoamericana

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We establish the uniqueness of fundamental solutions to the p-Laplacian equation u_t = div (|Du|^p-2 Du), p > 2, defined for x ∈ R^N, 0 < t < T. We derive from this result the asymptotic behavoir of nonnegative solutions with finite mass, i.e., such that u(*,t) ∈ L¹(R^N). Our methods also apply to the porous medium equation u_t...