Blowup of nonradial solutions to parabolic–elliptic systems modeling chemotaxis in two-dimensional domains
<p/> <p>We consider the initial-boundary value problem of parabolic–elliptic systems on bounded domains in R2 with smooth boundary which is a mathematical model of chemotaxis. Making a differential inequality on the moment of solutions to the problem, we show the finite-time bl...
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2001-01-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://www.journalofinequalitiesandapplications.com/content/6/970292 |
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doaj-fea7b7f0538a469e82eb9c8e4cce1caf2020-11-25T01:03:50ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2001-01-0120011970292Blowup of nonradial solutions to parabolic–elliptic systems modeling chemotaxis in two-dimensional domainsNagai Toshitaka<p/> <p>We consider the initial-boundary value problem of parabolic–elliptic systems on bounded domains in R2 with smooth boundary which is a mathematical model of chemotaxis. Making a differential inequality on the moment of solutions to the problem, we show the finite-time blowup of nonradial solutions under some condition on the mass and the moment of the initial data.</p>http://www.journalofinequalitiesandapplications.com/content/6/970292Parabolic–elliptic systemChemotaxisFinite-time blowup |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nagai Toshitaka |
| spellingShingle |
Nagai Toshitaka Blowup of nonradial solutions to parabolic–elliptic systems modeling chemotaxis in two-dimensional domains Journal of Inequalities and Applications Parabolic–elliptic system Chemotaxis Finite-time blowup |
| author_facet |
Nagai Toshitaka |
| author_sort |
Nagai Toshitaka |
| title |
Blowup of nonradial solutions to parabolic–elliptic systems modeling chemotaxis in two-dimensional domains |
| title_short |
Blowup of nonradial solutions to parabolic–elliptic systems modeling chemotaxis in two-dimensional domains |
| title_full |
Blowup of nonradial solutions to parabolic–elliptic systems modeling chemotaxis in two-dimensional domains |
| title_fullStr |
Blowup of nonradial solutions to parabolic–elliptic systems modeling chemotaxis in two-dimensional domains |
| title_full_unstemmed |
Blowup of nonradial solutions to parabolic–elliptic systems modeling chemotaxis in two-dimensional domains |
| title_sort |
blowup of nonradial solutions to parabolic–elliptic systems modeling chemotaxis in two-dimensional domains |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2001-01-01 |
| description |
<p/> <p>We consider the initial-boundary value problem of parabolic–elliptic systems on bounded domains in R2 with smooth boundary which is a mathematical model of chemotaxis. Making a differential inequality on the moment of solutions to the problem, we show the finite-time blowup of nonradial solutions under some condition on the mass and the moment of the initial data.</p> |
| topic |
Parabolic–elliptic system Chemotaxis Finite-time blowup |
| url |
http://www.journalofinequalitiesandapplications.com/content/6/970292 |
| work_keys_str_mv |
AT nagaitoshitaka blowupofnonradialsolutionstoparabolic8211ellipticsystemsmodelingchemotaxisintwodimensionaldomains |
| _version_ |
1725199239060914176 |