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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The initial development of solar flares
J. F. Vesecky,A. J. Meadows +1 more
TL;DR: In this article, it was shown that a point explosion in the lower chromosphere can be treated as a virtually instantaneous release of energy throughout a volume of radius R ≈ 100 km, which subsequently expands as a classical hydrodynamic blast wave.
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Anisotropic mesh adaptation for finite element solution of Anisotropic Porous Medium Equation
TL;DR: Anisotropic mesh adaptation for linear finite element solution of APME for time-independent diffusion and solution errors using anisotropic adaptive meshes show second order convergence are discussed.
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Exact solutions for nonlinear diffusion with nonlinear loss
TL;DR: In this paper, exact similarity solutions for nonlinear diffusion with nonlinear reactive or irreversible absorptive loss from an instantaneous source were developed, where diffusivity is proportional to a powerm of concentration, with 0 0 withs=1, 2, 3 in physical applications.
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Kinetic diffusion in polymer gels
TL;DR: In this paper, two types of integrals of Fickian diffusion equations are known to exhibit the characteristics of non-Fickian fluid dynamics, and they are used to determine whether Fick's first law can govern the diffusion of small molecules in polymers.