Self-similar solutions of convection-diffusion processes

Geometric properties of self-similar solutions to the equation $ u_t = u_{xx} + \gamma(u^q)_x,\ x > 0,\ t > 0 $ are studied, $ q $ is positive and $ \gamma\in \mathbb{R}\setminus\{0\}$. Two critical values of $ q $ (namely 1 and 2) appear the corresponding shapes are of very different nat...

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Main Author: Mohammed Guedda
Format: Article
Language:English
Published: University of Szeged 2000-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=20
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spelling doaj-c1316e6ca16a4400935278353cc590e72021-07-14T07:21:17ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752000-01-012000311810.14232/ejqtde.2000.1.320Self-similar solutions of convection-diffusion processesMohammed Guedda0Université de Picardie Jules Verne, Amiens, FranceGeometric properties of self-similar solutions to the equation $ u_t = u_{xx} + \gamma(u^q)_x,\ x > 0,\ t > 0 $ are studied, $ q $ is positive and $ \gamma\in \mathbb{R}\setminus\{0\}$. Two critical values of $ q $ (namely 1 and 2) appear the corresponding shapes are of very different nature.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=20
collection DOAJ
language English
format Article
sources DOAJ
author Mohammed Guedda
spellingShingle Mohammed Guedda
Self-similar solutions of convection-diffusion processes
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Mohammed Guedda
author_sort Mohammed Guedda
title Self-similar solutions of convection-diffusion processes
title_short Self-similar solutions of convection-diffusion processes
title_full Self-similar solutions of convection-diffusion processes
title_fullStr Self-similar solutions of convection-diffusion processes
title_full_unstemmed Self-similar solutions of convection-diffusion processes
title_sort self-similar solutions of convection-diffusion processes
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2000-01-01
description Geometric properties of self-similar solutions to the equation $ u_t = u_{xx} + \gamma(u^q)_x,\ x > 0,\ t > 0 $ are studied, $ q $ is positive and $ \gamma\in \mathbb{R}\setminus\{0\}$. Two critical values of $ q $ (namely 1 and 2) appear the corresponding shapes are of very different nature.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=20
work_keys_str_mv AT mohammedguedda selfsimilarsolutionsofconvectiondiffusionprocesses
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