On explosions of solutions to a system of partial differential equations modelling chemotaxis
A system of partial differential equations modelling chemotactic aggregation is analysed (Keller-Segel model). Conditions on the system of parameters are given implying global existence of smooth solutions. In two space dimensions and radially symmetric situations, explosion of the bacteria concentr...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
1992
|
| In: |
Transactions of the American Mathematical Society
Year: 1992, Volume: 329, Issue: 2, Pages: 819-824 |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/S0002-9947-1992-1046835-6 |
| Online Access: | Resolving-System, kostenfrei, Volltext: http://dx.doi.org/10.1090/S0002-9947-1992-1046835-6 Verlag, kostenfrei, Volltext: http://www.ams.org/journals/tran/1992-329-02/S0002-9947-1992-1046835-6/ 
|
| Author Notes: | W. Jäger and S. Luckhaus |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1580828582 | ||
| 003 | DE-627 | ||
| 005 | 20220815004251.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180910s1992 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1090/S0002-9947-1992-1046835-6 |2 doi | |
| 035 | |a (DE-627)1580828582 | ||
| 035 | |a (DE-576)510828582 | ||
| 035 | |a (DE-599)BSZ510828582 | ||
| 035 | |a (OCoLC)1341018320 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Jäger, Willi |d 1940- |e VerfasserIn |0 (DE-588)132750783 |0 (DE-627)526873094 |0 (DE-576)161561349 |4 aut | |
| 245 | 1 | 0 | |a On explosions of solutions to a system of partial differential equations modelling chemotaxis |c W. Jäger and S. Luckhaus |
| 264 | 1 | |c 1992 | |
| 300 | |a 6 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 10.09.2018 | ||
| 520 | |a A system of partial differential equations modelling chemotactic aggregation is analysed (Keller-Segel model). Conditions on the system of parameters are given implying global existence of smooth solutions. In two space dimensions and radially symmetric situations, explosion of the bacteria concentration in finite time is shown for a class of initial values. | ||
| 700 | 1 | |a Luckhaus, Stephan |d 1953- |e VerfasserIn |0 (DE-588)1202462383 |0 (DE-627)1686468547 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |a American Mathematical Society |t Transactions of the American Mathematical Society |d Providence, RI : Soc., 1900 |g 329(1992), 2, Seite 819-824 |h Online-Ressource |w (DE-627)269247351 |w (DE-600)1474637-2 |w (DE-576)079876110 |x 1088-6850 |7 nnas |
| 773 | 1 | 8 | |g volume:329 |g year:1992 |g number:2 |g pages:819-824 |g extent:6 |a On explosions of solutions to a system of partial differential equations modelling chemotaxis |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1090/S0002-9947-1992-1046835-6 |x Resolving-System |x Verlag |z kostenfrei |3 Volltext |
| 856 | 4 | 0 | |u http://www.ams.org/journals/tran/1992-329-02/S0002-9947-1992-1046835-6/ |x Verlag |z kostenfrei |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20180910 | ||
| 993 | |a Article | ||
| 994 | |a 1992 | ||
| 998 | |g 132750783 |a Jäger, Willi |m 132750783:Jäger, Willi |d 700000 |d 708000 |d 110000 |d 110200 |d 110000 |d 110400 |e 700000PJ132750783 |e 708000PJ132750783 |e 110000PJ132750783 |e 110200PJ132750783 |e 110000PJ132750783 |e 110400PJ132750783 |k 0/700000/ |k 1/700000/708000/ |k 0/110000/ |k 1/110000/110200/ |k 0/110000/ |k 1/110000/110400/ |p 1 |x j | ||
| 999 | |a KXP-PPN1580828582 |e 3025219688 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"relHost":[{"recId":"269247351","pubHistory":["1.1900 -"],"part":{"pages":"819-824","volume":"329","extent":"6","issue":"2","text":"329(1992), 2, Seite 819-824","year":"1992"},"id":{"issn":["1088-6850"],"eki":["269247351"],"zdb":["1474637-2"]},"type":{"bibl":"periodical","media":"Online-Ressource"},"language":["eng"],"physDesc":[{"extent":"Online-Ressource"}],"origin":[{"publisher":"Soc.","dateIssuedDisp":"1900-","publisherPlace":"Providence, RI","dateIssuedKey":"1900"}],"note":["Gesehen am 09.07.24"],"title":[{"title":"Transactions of the American Mathematical Society","title_sort":"Transactions of the American Mathematical Society"}],"corporate":[{"role":"aut","display":"American Mathematical Society"}],"disp":"American Mathematical SocietyTransactions of the American Mathematical Society"}],"type":{"bibl":"article-journal","media":"Online-Ressource"},"recId":"1580828582","language":["eng"],"physDesc":[{"extent":"6 S."}],"name":{"displayForm":["W. Jäger and S. Luckhaus"]},"id":{"doi":["10.1090/S0002-9947-1992-1046835-6"],"eki":["1580828582"]},"origin":[{"dateIssuedDisp":"1992","dateIssuedKey":"1992"}],"title":[{"title":"On explosions of solutions to a system of partial differential equations modelling chemotaxis","title_sort":"On explosions of solutions to a system of partial differential equations modelling chemotaxis"}],"person":[{"display":"Jäger, Willi","role":"aut","given":"Willi","family":"Jäger"},{"role":"aut","given":"Stephan","family":"Luckhaus","display":"Luckhaus, Stephan"}],"note":["Gesehen am 10.09.2018"]} | ||
| SRT | |a JAEGERWILLONEXPLOSIO1992 | ||