The entropy solution of a hyperbolic-parabolic mixed type equation

The entropy solution of the equation [Formula: see text] is considered. Besides the usual initial value, only a partial boundary value is imposed. By choosing some special test functions, the stability of the solutions is obtained by Kruzkov’s bi-variables method, provided that [Formula: see text] i...

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Detalles Bibliográficos
Autor principal: Zhan, Huashui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5069270/
https://www.ncbi.nlm.nih.gov/pubmed/27812450
http://dx.doi.org/10.1186/s40064-016-3374-z
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author Zhan, Huashui
author_facet Zhan, Huashui
author_sort Zhan, Huashui
collection PubMed
description The entropy solution of the equation [Formula: see text] is considered. Besides the usual initial value, only a partial boundary value is imposed. By choosing some special test functions, the stability of the solutions is obtained by Kruzkov’s bi-variables method, provided that [Formula: see text] is an unit n-dimensional cube or the half space.
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spelling pubmed-50692702016-11-03 The entropy solution of a hyperbolic-parabolic mixed type equation Zhan, Huashui Springerplus Research The entropy solution of the equation [Formula: see text] is considered. Besides the usual initial value, only a partial boundary value is imposed. By choosing some special test functions, the stability of the solutions is obtained by Kruzkov’s bi-variables method, provided that [Formula: see text] is an unit n-dimensional cube or the half space. Springer International Publishing 2016-10-18 /pmc/articles/PMC5069270/ /pubmed/27812450 http://dx.doi.org/10.1186/s40064-016-3374-z Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zhan, Huashui
The entropy solution of a hyperbolic-parabolic mixed type equation
title The entropy solution of a hyperbolic-parabolic mixed type equation
title_full The entropy solution of a hyperbolic-parabolic mixed type equation
title_fullStr The entropy solution of a hyperbolic-parabolic mixed type equation
title_full_unstemmed The entropy solution of a hyperbolic-parabolic mixed type equation
title_short The entropy solution of a hyperbolic-parabolic mixed type equation
title_sort entropy solution of a hyperbolic-parabolic mixed type equation
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5069270/
https://www.ncbi.nlm.nih.gov/pubmed/27812450
http://dx.doi.org/10.1186/s40064-016-3374-z
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