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Diffusion from an instantaneous point source with a concentration-dependent coefficient

R. E. Pattle
- 01 Jan 1959 - 
- Vol. 12, Iss: 4, pp 407-409
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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.

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Sharp regularity for the inhomogeneous porous medium equation

TL;DR: In this article, it was shown that locally bounded solutions of the inhomogeneous porous medium equation are locally Holder continuous, with exponent (i.e., the optimal Holder exponent for the homogeneous case).
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Anomalous Diffusion in Systems with Concentration-Dependent Diffusivity: Exact Solutions and Particle Simulations

TL;DR: In this paper, the anomalous diffusion that may arise as a result of a concentration dependent diffusivity is explored, and from exact analytical solutions, it is shown that the diffusion may be anomalous, or not, depending on the nature of the initial condition.
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Lithium Metal Stripping Mechanisms Revealed Through Electrochemical Liquid Cell Electron Microscopy

TL;DR: In this article , the stripping behavior of the in-situ grown lithium dendrites and lithium nanograins covered by a lithium fluoride-rich solid-electrolyte interphase (SEI) was observed.
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Cosmic ray interstellar propagation tool using Itô Calculus (criptic): software for simultaneous calculation of cosmic ray transport and observational signatures

TL;DR: Criptic as mentioned in this paper is an open-source software package to simulate the propagation of cosmic rays through the interstellar medium and to calculate the resulting observable non-thermal emission, which can solve problems where cosmic rays stream, diffuse, or perform arbitrary combinations of both.