Traveling front of polyhedral shape for a nonlocal delayed diffusion equation
This paper is concerned with the existence and stability of traveling fronts with convex polyhedral shape for nonlocal delay diffusion equations. By using the existence and stability results of V-form fronts and pyramidal traveling fronts, we first show that there exists a traveling front $V(x,y,z)$...
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| Format: | Article |
| Language: | English |
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University of Szeged
2020-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8376 |
| _version_ | 1797830477799751680 |
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| author | Jia Liu |
| author_facet | Jia Liu |
| author_sort | Jia Liu |
| collection | DOAJ |
| description | This paper is concerned with the existence and stability of traveling fronts with convex polyhedral shape for nonlocal delay diffusion equations. By using the existence and stability results of V-form fronts and pyramidal traveling fronts, we first show that there exists a traveling front $V(x,y,z)$ with polyhedral shape of nonlocal delay diffusion equation associated with $z=h(x,y)$. Moreover, the asymptotic stability and other qualitative properties of such traveling front $V(x,y,z)$ are also established. |
| first_indexed | 2024-04-09T13:37:49Z |
| format | Article |
| id | doaj.art-f10affaa82034ac786f7d2f20e76ee8b |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:49Z |
| publishDate | 2020-11-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-f10affaa82034ac786f7d2f20e76ee8b2023-05-09T07:53:10ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752020-11-0120206411310.14232/ejqtde.2020.1.648376Traveling front of polyhedral shape for a nonlocal delayed diffusion equationJia Liu0Chang'an University, Xi’an, People’s Republic of ChinaThis paper is concerned with the existence and stability of traveling fronts with convex polyhedral shape for nonlocal delay diffusion equations. By using the existence and stability results of V-form fronts and pyramidal traveling fronts, we first show that there exists a traveling front $V(x,y,z)$ with polyhedral shape of nonlocal delay diffusion equation associated with $z=h(x,y)$. Moreover, the asymptotic stability and other qualitative properties of such traveling front $V(x,y,z)$ are also established.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8376traveling frontpolyhedral shapereaction-diffusion equationnonlocal delayed |
| spellingShingle | Jia Liu Traveling front of polyhedral shape for a nonlocal delayed diffusion equation Electronic Journal of Qualitative Theory of Differential Equations traveling front polyhedral shape reaction-diffusion equation nonlocal delayed |
| title | Traveling front of polyhedral shape for a nonlocal delayed diffusion equation |
| title_full | Traveling front of polyhedral shape for a nonlocal delayed diffusion equation |
| title_fullStr | Traveling front of polyhedral shape for a nonlocal delayed diffusion equation |
| title_full_unstemmed | Traveling front of polyhedral shape for a nonlocal delayed diffusion equation |
| title_short | Traveling front of polyhedral shape for a nonlocal delayed diffusion equation |
| title_sort | traveling front of polyhedral shape for a nonlocal delayed diffusion equation |
| topic | traveling front polyhedral shape reaction-diffusion equation nonlocal delayed |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8376 |
| work_keys_str_mv | AT jialiu travelingfrontofpolyhedralshapeforanonlocaldelayeddiffusionequation |