A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equations
In this paper we prove a new estimate of the threshold wave speed for traveling wavefronts of the reaction–diffusion–convection equations of the type \[v_\tau + h(v) v_x= \left[ D(v)v_x \right]_x + f(v) \] where \(h\) is a convective term, \(D\) is a positive (potentially degenerate) diffusive te...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2018-02-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6373 |
| _version_ | 1797830595932323840 |
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| author | Cristina Marcelli Francesca Papalini |
| author_facet | Cristina Marcelli Francesca Papalini |
| author_sort | Cristina Marcelli |
| collection | DOAJ |
| description | In this paper we prove a new estimate of the threshold wave speed for traveling wavefronts of the reaction–diffusion–convection equations of the type
\[v_\tau + h(v) v_x= \left[ D(v)v_x \right]_x + f(v) \]
where \(h\) is a convective term, \(D\) is a positive (potentially degenerate) diffusive term and \(f\) stands for a monostable reaction term. |
| first_indexed | 2024-04-09T13:38:37Z |
| format | Article |
| id | doaj.art-ab52dbf2cfac421a96e07f1073daa22e |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:38:37Z |
| publishDate | 2018-02-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-ab52dbf2cfac421a96e07f1073daa22e2023-05-09T07:53:07ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752018-02-0120181011310.14232/ejqtde.2018.1.106373A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equationsCristina Marcelli0Francesca Papalini1Università Politecnica delle Marche, Ancona, ItalyUniversità Politecnica delle Marche, Ancona, ItalyIn this paper we prove a new estimate of the threshold wave speed for traveling wavefronts of the reaction–diffusion–convection equations of the type \[v_\tau + h(v) v_x= \left[ D(v)v_x \right]_x + f(v) \] where \(h\) is a convective term, \(D\) is a positive (potentially degenerate) diffusive term and \(f\) stands for a monostable reaction term.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6373reaction–diffusion equationsconvective termstraveling frontscritical wave speedsingular boundary value problemsheteroclinic solutions |
| spellingShingle | Cristina Marcelli Francesca Papalini A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equations Electronic Journal of Qualitative Theory of Differential Equations reaction–diffusion equations convective terms traveling fronts critical wave speed singular boundary value problems heteroclinic solutions |
| title | A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equations |
| title_full | A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equations |
| title_fullStr | A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equations |
| title_full_unstemmed | A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equations |
| title_short | A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equations |
| title_sort | new estimate on the minimal wave speed for travelling fronts in reaction diffusion convection equations |
| topic | reaction–diffusion equations convective terms traveling fronts critical wave speed singular boundary value problems heteroclinic solutions |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6373 |
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