Instability of traveling waves for a generalized diffusion model in population problems
In this paper, we study the instability of the traveling waves of a generalized diffusion model in population problems. We prove that some traveling wave solutions are nonlinear unstable under $H^2$ perturbations. These traveling wave solutions converge to a constant as $x\to\infty$.
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| Format: | Article |
| Language: | English |
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University of Szeged
2004-12-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=208 |
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Article |
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doaj-cc4b5ff939474d11bd30ed9d54a35e022021-07-14T07:21:18ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752004-12-0120041811010.14232/ejqtde.2004.1.18208Instability of traveling waves for a generalized diffusion model in population problemsChangchun Liu0Jilin University, Changchun, P. R. ChinaIn this paper, we study the instability of the traveling waves of a generalized diffusion model in population problems. We prove that some traveling wave solutions are nonlinear unstable under $H^2$ perturbations. These traveling wave solutions converge to a constant as $x\to\infty$.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=208 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Changchun Liu |
| spellingShingle |
Changchun Liu Instability of traveling waves for a generalized diffusion model in population problems Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
Changchun Liu |
| author_sort |
Changchun Liu |
| title |
Instability of traveling waves for a generalized diffusion model in population problems |
| title_short |
Instability of traveling waves for a generalized diffusion model in population problems |
| title_full |
Instability of traveling waves for a generalized diffusion model in population problems |
| title_fullStr |
Instability of traveling waves for a generalized diffusion model in population problems |
| title_full_unstemmed |
Instability of traveling waves for a generalized diffusion model in population problems |
| title_sort |
instability of traveling waves for a generalized diffusion model in population problems |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2004-12-01 |
| description |
In this paper, we study the instability of the traveling waves of a generalized diffusion model in population problems. We prove that some traveling wave solutions are nonlinear unstable under $H^2$ perturbations. These traveling wave solutions converge to a constant as $x\to\infty$. |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=208 |
| work_keys_str_mv |
AT changchunliu instabilityoftravelingwavesforageneralizeddiffusionmodelinpopulationproblems |
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1721303975634927616 |