Existence and uniqueness in nonclassical diffusion

Open Access

1 October 1987

journal article
Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics

Vol. 45 (3) , 549-560
https://doi.org/10.1090/qam/910461

Abstract

We consider a class of diffusion models that arise in certain nonclassical physical situations and discuss existence and uniqueness of the resulting evolution equations.

Keywords

This publication has 11 references indexed in Scilit:

Time-dependent implicit evolution equations
Nonlinear Analysis, 1986
On the solution of boundary value problems for fourth order diffusion
Acta Mechanica, 1983
Maxwell and Van Der Waals Revisited
MRS Proceedings, 1982
Implicit Degenerate Evolution Equations and Applications
SIAM Journal on Mathematical Analysis, 1981
On the problem of diffusion in solids
Acta Mechanica, 1980
ON THE THEORY OF DIFFUSION IN MEDIA WITH DOUBLE DIFFUSIVITY II. BOUNDARY-VALUE PROBLEMS
The Quarterly Journal of Mechanics and Applied Mathematics, 1980
ON THE THEORY OF DIFFUSION IN MEDIA WITH DOUBLE DIFFUSIVITY I. BASIC MATHEMATICAL RESULTS
The Quarterly Journal of Mechanics and Applied Mathematics, 1980
A new interpretation of diffusion in high-diffusivity paths—a continuum approach
Acta Metallurgica, 1979
Parabolic and pseudo-parabolic partial differential equations*
Journal of the Mathematical Society of Japan, 1969
On spinodal decomposition
Acta Metallurgica, 1961