Conditionally integrable nonlinear diffusion with diffusivity 1/u

Broadbridge, Philip; Goard, Joanna M

doi:10.26181/5fffd51ecf747

symmetry-11-00804.pdf (323.55 kB)

Conditionally integrable nonlinear diffusion with diffusivity 1/u

journal contribution

posted on 2021-01-14, 05:22 authored by Philip BroadbridgePhilip Broadbridge, Joanna M Goard

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.

Funding

The first author is grateful for the support of the Australian Research Council through Project DP160101366.

History

Publication Date

2019-01-01

Journal

Symmetry

Volume

11

Issue

6

Article Number

804

Pagination

10p.

Publisher

MDPI AG

ISSN

2073-8994

Rights Statement

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