Journal ArticleDOI
Diffusion from an instantaneous point source with a concentration-dependent coefficient
Reads0
Chats0
About:
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
Citations
More filters
Journal ArticleDOI
Error Analysis for Characteristics-Based Methods for Degenerate Parabolic Problems
TL;DR: This paper analyzes characteristics-based finite element methods for solving nonlinear, degenerate, advection-diffusion equations, and develops a technique that respects the degeneracy and the known minimal regularity.
Journal ArticleDOI
Exact Solutions of Diffusion-Convection Equations
TL;DR: In this paper, the authors give a short discussion of the nature of the listed solutions and show that the majority of them have been obtained by means of different symmetry methods, such as reduction with respect to Lie and non-Lie symmetries, separation of variables, equivalence transformations, etc.
Journal ArticleDOI
Some properties of generalized Fisher information in the context of nonextensive thermostatistics
TL;DR: The generalized Fisher information naturally pop up in the expression of the time derivative of the q-entropies, for distributions satisfying a certain nonlinear heat equation, and the minimization of the generalized Fisher Information subject to moment constraints satisfies aLegendre structure analog to the Legendre structure of thermodynamics.
Journal ArticleDOI
An approximate analytical (integral-balance) solution to a nonlinear heat diffusion equation
TL;DR: In this paper, a closed form approximate solution of the non-linear diffusion equation of a power-law nonlinearity of the diffusivity developed by the heat-balance integral method is presented.
Book ChapterDOI
Chapter 3 Current issues on singular and degenerate evolution equations
TL;DR: In this paper, the authors discuss the regularity of weak solutions of singular and degenerate quasilinear parabolic equations, proving their Holder character, and present a precise definition of weak solution and derivation of the building blocks of the theory: the local energy and logarithmic estimates.