Journal of Nonlinear Mathematical Physics

Volume 28, Issue 2, June 2021, Pages 171 - 181

Exact Solutions of a Nonlinear Diffusion Equation with Absorption and Production

Authors
Robert Conte*, ORCID
Université Paris-Saclay, ENS Paris-Saclay, CNRS, Centre Borelli, Cachan F-94235, France
Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong
Corresponding Author
Robert Conte
Received 29 June 2020, Accepted 19 August 2020, Available Online 10 December 2020.
DOI
10.2991/jnmp.k.200922.008How to use a DOI?
Keywords
Nonlinear diffusion equation; turbulent kinetic energy; exact solutions
Abstract

We provide closed form solutions for an equation which describes the transport of turbulent kinetic energy in the framework of a turbulence model with a single equation.

Copyright
© 2020 The Author. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
28 - 2
Pages
171 - 181
Publication Date
2020/12/10
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.k.200922.008How to use a DOI?
Copyright
© 2020 The Author. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Robert Conte
PY  - 2020
DA  - 2020/12/10
TI  - Exact Solutions of a Nonlinear Diffusion Equation with Absorption and Production
JO  - Journal of Nonlinear Mathematical Physics
SP  - 171
EP  - 181
VL  - 28
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.k.200922.008
DO  - 10.2991/jnmp.k.200922.008
ID  - Conte2020
ER  -