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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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Conservative Solutions of One-Dimensional Nonlinear Distribution Processes with Drift

TL;DR: In this paper, a one-dimensional quasilinear autonomous parabolic equation is considered, which generalizes a well-known equation which occurs, for example, in the theory of radiation heat conduction and diffusion in porous media.
Journal ArticleDOI

Nonlinear diffusion and particle production in relativistic systems

TL;DR: In this article, the short parton production phase in high-energy heavy-ion collisions is treated analytically as a nonlinear diffusion process, and the initial buildup of the rapidity density distributions of produced charged hadrons within τ p ≃ 0.25 fm/c occurs in three sources during the colored partonic phase.
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A numerical method for an inhomogeneous nonlinear diffusion problem

TL;DR: In this article, a numerical method for the solution of an inhomogeneous nonlinear diffusion problem that arises in a variety of applications is presented, where the diffusion coefficient in the underlying diffusion process is concentration- as well as distance- dependent.