Singularities of Solutions to Chemotaxis Systems /

Singularities of Solutions to Chemotaxis Systems / / Piotr Biler.

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...

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Superior document:Title is part of eBook package: De Gruyter DG Ebook Package English 2020
VerfasserIn:
Biler, Piotr,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2019]
©2020
Year of Publication:2019
Language:English
Series:De Gruyter Series in Mathematics and Life Sciences , 6
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Physical Description:1 online resource (XXIV, 207 p.)
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id 9783110599534
ctrlnum (DE-B1597)494629
(OCoLC)1132428323
collection bib_alma
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spelling Biler, Piotr, author. aut http://id.loc.gov/vocabulary/relators/aut
Singularities of Solutions to Chemotaxis Systems / Piotr Biler.
Berlin ; Boston : De Gruyter, [2019]
©2020
1 online resource (XXIV, 207 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Series in Mathematics and Life Sciences , 2195-5530 ; 6
Frontmatter -- Contents -- Preface -- Introduction -- 1. Local-in-time solutions, small global-in-time solutions -- 2. Large global-in-time solutions to models of chemotaxis -- 3. Blowups -- 4. Blowups à la Fujita -- 5. Interpretations, complements, conjectures, et cetera -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Burgers equation.
Chemotaxis Mathematics.
Nonlinear systems.
Blow up ‹Differentialgleichung›.
Chemotaxi.
Globale Lösung.
Parabolische partielle Differentialgleichung.
Singularität ‹Mathematik›.
MATHEMATICS / Differential Equations / Partial. bisacsh
Title is part of eBook package: De Gruyter DG Ebook Package English 2020 9783110696288
Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 9783110696271
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA
EPUB 9783110598629
print 9783110597899
https://doi.org/10.1515/9783110599534
https://www.degruyter.com/isbn/9783110599534
Cover https://www.degruyter.com/document/cover/isbn/9783110599534/original
language English
format eBook
author Biler, Piotr,
Biler, Piotr,
spellingShingle Biler, Piotr,
Biler, Piotr,
Singularities of Solutions to Chemotaxis Systems /
De Gruyter Series in Mathematics and Life Sciences ,
Frontmatter --
Contents --
Preface --
Introduction --
1. Local-in-time solutions, small global-in-time solutions --
2. Large global-in-time solutions to models of chemotaxis --
3. Blowups --
4. Blowups à la Fujita --
5. Interpretations, complements, conjectures, et cetera --
Bibliography --
Index
author_facet Biler, Piotr,
Biler, Piotr,
author_variant p b pb
p b pb
author_role VerfasserIn
VerfasserIn
author_sort Biler, Piotr,
title 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_auth Singularities of Solutions to Chemotaxis Systems /
title_alt Frontmatter --
Contents --
Preface --
Introduction --
1. Local-in-time solutions, small global-in-time solutions --
2. Large global-in-time solutions to models of chemotaxis --
3. Blowups --
4. Blowups à la Fujita --
5. Interpretations, complements, conjectures, et cetera --
Bibliography --
Index
title_new Singularities of Solutions to Chemotaxis Systems /
title_sort singularities of solutions to chemotaxis systems /
series De Gruyter Series in Mathematics and Life Sciences ,
series2 De Gruyter Series in Mathematics and Life Sciences ,
publisher De Gruyter,
publishDate 2019
physical 1 online resource (XXIV, 207 p.)
Issued also in print.
contents Frontmatter --
Contents --
Preface --
Introduction --
1. Local-in-time solutions, small global-in-time solutions --
2. Large global-in-time solutions to models of chemotaxis --
3. Blowups --
4. Blowups à la Fujita --
5. Interpretations, complements, conjectures, et cetera --
Bibliography --
Index
isbn 9783110599534
9783110696288
9783110696271
9783110610765
9783110664232
9783110610406
9783110606362
9783110598629
9783110597899
issn 2195-5530 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA402
callnumber-sort QA 3402 B55 42020
url https://doi.org/10.1515/9783110599534
https://www.degruyter.com/isbn/9783110599534
https://www.degruyter.com/document/cover/isbn/9783110599534/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.355
dewey-sort 3515.355
dewey-raw 515.355
dewey-search 515.355
doi_str_mv 10.1515/9783110599534
oclc_num 1132428323
work_keys_str_mv AT bilerpiotr singularitiesofsolutionstochemotaxissystems
status_str n
ids_txt_mv (DE-B1597)494629
(OCoLC)1132428323
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Ebook Package English 2020
Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019
is_hierarchy_title Singularities of Solutions to Chemotaxis Systems /
container_title Title is part of eBook package: De Gruyter DG Ebook Package English 2020
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