Conditionally Integrable Nonlinear Diffusion with Diffusivity 1/u

Authors

Philip Broadbridge, La Trobe University, University of WollongongFollow
Joanna M. Goard, University of WollongongFollow

RIS ID

136369

Publication Details

Broadbridge, P. & Goard, J. M. (2019). Conditionally Integrable Nonlinear Diffusion with Diffusivity 1/u. Symmetry, 11 (6), 804-1-804-10.

Abstract

An explicit mapping is given from the space of general complex meromorphic functions to a space of special time-dependent solutions of the 1 + 2-dimensional nonlinear diffusion equation with diffusivity depending on concentration as D = 1/u. These solutions have constant-flux boundary conditions. Some simple examples are constructed, including that of a line source enclosed by a cylindrical barrier. This has direct application to electron diffusion in a laser-heated plasma.