Singularities of Solutions to Chemotaxis Systems:
The Keller-Segel model for chemotaxis is a prototype of nonlocal systems describing concentration phenomena in physics and biology. While the two-dimensional theory is by now quite complete, the questions of global-in-time solvability and blowup characterization are largely open in higher dimensions...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2019]
|
| Schriftenreihe: | De Gruyter Series in Mathematics and Life Sciences
6 |
| Schlagworte: | |
| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-898 DE-859 DE-860 DE-91 DE-20 DE-706 DE-739 Volltext |
| Zusammenfassung: | The Keller-Segel model for chemotaxis is a prototype of nonlocal systems describing concentration phenomena in physics and biology. While the two-dimensional theory is by now quite complete, the questions of global-in-time solvability and blowup characterization are largely open in higher dimensions. In this book, global-in-time solutions are constructed under (nearly) optimal assumptions on initial data and rigorous blowup criteria are derived |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 21. Dez 2019) |
| Beschreibung: | 1 online resource (XXIV, 207 pages) |
| ISBN: | 9783110599534 |
| DOI: | 10.1515/9783110599534 |
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| illustrated | Not Illustrated |
| indexdate | 2025-02-19T17:27:37Z |
| institution | BVB |
| isbn | 9783110599534 |
| language | English |
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| publishDate | 2019 |
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| series2 | De Gruyter Series in Mathematics and Life Sciences |
| spelling | Biler, Piotr 1958- Verfasser (DE-588)1202516769 aut Singularities of Solutions to Chemotaxis Systems Piotr Biler Berlin ; Boston De Gruyter [2019] © 2020 1 online resource (XXIV, 207 pages) txt rdacontent c rdamedia cr rdacarrier De Gruyter Series in Mathematics and Life Sciences 6 Description based on online resource; title from PDF title page (publisher's Web site, viewed 21. Dez 2019) The Keller-Segel model for chemotaxis is a prototype of nonlocal systems describing concentration phenomena in physics and biology. While the two-dimensional theory is by now quite complete, the questions of global-in-time solvability and blowup characterization are largely open in higher dimensions. In this book, global-in-time solutions are constructed under (nearly) optimal assumptions on initial data and rigorous blowup criteria are derived In English Blow up ‹Differentialgleichung› Chemotaxi Globale Lösung Parabolische partielle Differentialgleichung Singularität ‹Mathematik› MATHEMATICS / Differential Equations / Partial bisacsh Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Nichtlineares parabolisches System (DE-588)4352366-3 gnd rswk-swf Blowing up (DE-588)4508027-6 gnd rswk-swf Globale Lösung (DE-588)4264389-2 gnd rswk-swf Chemotaxis (DE-588)4127969-4 gnd rswk-swf Nichtlineares parabolisches System (DE-588)4352366-3 s Globale Lösung (DE-588)4264389-2 s Singularität Mathematik (DE-588)4077459-4 s Blowing up (DE-588)4508027-6 s Chemotaxis (DE-588)4127969-4 s DE-604 Erscheint auch als Druck-Ausgabe 9783110597899 De Gruyter Series in Mathematics and Life Sciences 6 (DE-604)BV046786575 6 https://doi.org/10.1515/9783110599534 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Biler, Piotr 1958- Singularities of Solutions to Chemotaxis Systems De Gruyter Series in Mathematics and Life Sciences Blow up ‹Differentialgleichung› Chemotaxi Globale Lösung Parabolische partielle Differentialgleichung Singularität ‹Mathematik› MATHEMATICS / Differential Equations / Partial bisacsh Singularität Mathematik (DE-588)4077459-4 gnd Nichtlineares parabolisches System (DE-588)4352366-3 gnd Blowing up (DE-588)4508027-6 gnd Globale Lösung (DE-588)4264389-2 gnd Chemotaxis (DE-588)4127969-4 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4352366-3 (DE-588)4508027-6 (DE-588)4264389-2 (DE-588)4127969-4 |
| title | Singularities of Solutions to Chemotaxis Systems |
| title_auth | Singularities of Solutions to Chemotaxis Systems |
| title_exact_search | Singularities of Solutions to Chemotaxis Systems |
| title_full | Singularities of Solutions to Chemotaxis Systems Piotr Biler |
| title_fullStr | Singularities of Solutions to Chemotaxis Systems Piotr Biler |
| title_full_unstemmed | Singularities of Solutions to Chemotaxis Systems Piotr Biler |
| title_short | Singularities of Solutions to Chemotaxis Systems |
| title_sort | singularities of solutions to chemotaxis systems |
| topic | Blow up ‹Differentialgleichung› Chemotaxi Globale Lösung Parabolische partielle Differentialgleichung Singularität ‹Mathematik› MATHEMATICS / Differential Equations / Partial bisacsh Singularität Mathematik (DE-588)4077459-4 gnd Nichtlineares parabolisches System (DE-588)4352366-3 gnd Blowing up (DE-588)4508027-6 gnd Globale Lösung (DE-588)4264389-2 gnd Chemotaxis (DE-588)4127969-4 gnd |
| topic_facet | Blow up ‹Differentialgleichung› Chemotaxi Globale Lösung Parabolische partielle Differentialgleichung Singularität ‹Mathematik› MATHEMATICS / Differential Equations / Partial Singularität Mathematik Nichtlineares parabolisches System Blowing up Chemotaxis |
| url | https://doi.org/10.1515/9783110599534 |
| volume_link | (DE-604)BV046786575 |
| work_keys_str_mv | AT bilerpiotr singularitiesofsolutionstochemotaxissystems |