Journal ArticleDOI
Diffusion from an instantaneous point source with a concentration-dependent coefficient
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This article is published in Quarterly Journal of Mechanics and Applied Mathematics.The article was published on 1959-01-01. It has received 326 citations till now. The article focuses on the topics: Diffusion (business) & Point source.read more
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Anomalous transport of cosmic rays in a nonlinear diffusion model
TL;DR: In this article, a nonlinear diffusion model was proposed to explain the anomalous diffusion scalings of cosmic-ray particles following their escape from heliospheric and astrophysical shocks.
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Analytic solutions of the nonlinear radiation diffusion equation with an instantaneous point source in non-homogeneous media
TL;DR: In this paper, analytical solutions to the nonlinear radiation diffusion equation with an instantaneous point source for a non-homogeneous medium with a power law spatial density profile are presented, which are a generalization of the well-known solutions for a homogeneous medium.
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Mathematical Models for Erosion and the Optimal Transportation of Sediment
Björn Birnir,Julie Rowlett +1 more
TL;DR: In this article, the authors investigate a mathematical theory for the erosion of sediment which begins with the study of a non-linear, parabolic, weighted 4-Laplace equation on a rectangular domain corresponding to a base segment of an extended landscape.
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Best matching Barenblatt profiles are delayed
Jean Dolbeault,Giuseppe Toscani +1 more
TL;DR: In this article, the authors consider the case where the best matching Barenblatt profile is delayed compared to the self-similar solution with the same initial second moment as the initial data.
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Difference schemes for degenerate parabolic equations
TL;DR: In this article, a construction of schemas aux differences for les equations paraboliques degenerees, engendrant des semigroupes, is presented, together with demonstration de la convergence of the convergence des algorithmes completement discret.