Publicação: Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
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Wiley-Blackwell
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Resumo
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.
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asymptotic behavior, Besov-Morrey spaces, chemotaxis, Morrey spaces, nonlinear viscous transport equations, self-similarity
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Inglês
Como citar
Mathematical Methods In The Applied Sciences. Hoboken: Wiley, v. 43, n. 9, p. 6103-6116, 2020.
