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Conditionally Integrable Nonlinear Diffusion with Diffusivity 1/u

Journal Article


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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.

UOW Authors


Publication Date


  • 2019

Citation


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

Scopus Eid


  • 2-s2.0-85068042926

Ro Full-text Url


  • https://ro.uow.edu.au/cgi/viewcontent.cgi?article=3920&context=eispapers1

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/2909

Start Page


  • 804-1

End Page


  • 804-10

Volume


  • 11

Issue


  • 6

Place Of Publication


  • Switzerland

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.

UOW Authors


Publication Date


  • 2019

Citation


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

Scopus Eid


  • 2-s2.0-85068042926

Ro Full-text Url


  • https://ro.uow.edu.au/cgi/viewcontent.cgi?article=3920&context=eispapers1

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/2909

Start Page


  • 804-1

End Page


  • 804-10

Volume


  • 11

Issue


  • 6

Place Of Publication


  • Switzerland