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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Journal ArticleDOI
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 and compared in detail to numerical simulations, and a good agreement is achieved.
Book ChapterDOI
Explicit Blow-Up Time for Two Porous Medium Problems with Different Reaction Terms
TL;DR: In this article, the blow-up time of classical solutions to porous medium problems with n ≥ 1 was studied. But the authors focused on the blowup times of the classical solutions in a bounded domain of n = 3 and in terms of an auxiliary function.
Book ChapterDOI
Scaling, Self-similarity, and Intermediate Asymptotics: The construction of intermediate-asymptotic solutions using dimensional analysis. Self-similar solutions
Journal ArticleDOI
Interaction of gas fronts
Andrew Lacey,Juan Luis Vázquez +1 more
TL;DR: In this article, the local behavior of gas fronts is investigated, where the gas flow can be modelled by the porous medium equation and when a gas front impinges upon a fixed boundary where the pressure is zero.
Dissertation
On Effects of Hydrodynamic Interaction in Active and Passive Suspensions : Multi Particle Simulations
TL;DR: In this article, a systematische untersuchung in Abhangigkeit der Kanalgrose is described, in which the authors discuss the effects of the effective Viskositat on Kugel-Feder Modelle.