Aggregation equations with gradient potential as Radon measure and initial data in Besov‐Morrey spaces

Autor:	Marta L. Suleiman, Juliana Conceição Precioso, Andréa Prokopczyk
Přispěvatelé:	Universidade Estadual Paulista (Unesp)
Rok vydání:	2020
Předmět:	self-similarity Self-similarity General Mathematics Besov-Morrey spaces Mathematical analysis Radon measure General Engineering asymptotic behavior Morrey spaces chemotaxis nonlinear viscous transport equations Mathematics
Zdroj:	Web of Science Repositório Institucional da UNESP Universidade Estadual Paulista (UNESP) instacron:UNESP
ISSN:	1099-1476 0170-4214
DOI:	10.1002/mma.6355
Popis:	Made available in DSpace on 2020-12-10T20:00:07Z (GMT). No. of bitstreams: 0 Previous issue date: 2020-06-01 In this work, we present conditions to obtain a global-in-time existence of solutions to a class of nonlinear viscous transport equations describing aggregation phenomena in biology with sufficiently small initial data in Besov-Morrey spaces and gradient potential as a Radon measure. We also study the self-similarity and asymptotic stability of solutions at large times. Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
Databáze:	OpenAIRE
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