학술논문
Nonlinear diffusion equation and Liesegang rings.
Document Type
Article
Author
Source
Subject
*NONLINEAR difference equations
*LIESEGANG rings
*MATHEMATICAL analysis
*GEOMETRY
*INTEGRAL domains
*PARTIAL differential equations
*ASYMPTOTIC theory in functional differential equations
*SIGNED numbers
*MATHEMATICAL formulas
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Language
ISSN
1064-5624
Abstract
The article provides mathematical solution to problem involving nonlinear diffusion equation and liesegang rings. It notes that the construction of the solution involving the said problem is made possible by seeking the asymptotic expansion of the solution in the form of the series of equations of the curves separating the domains of oppositely signed values. It also offers a solution under the conditions in which the classical Florin problem and the existence of such a solution developed. The authors also stress their goal of constructing the solution of a rather unusual problem for a delay partial differential equation.