Artículos de revistas
Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
Fecha
2020-06-01Registro en:
Mathematical Methods In The Applied Sciences. Hoboken: Wiley, v. 43, n. 9, p. 6103-6116, 2020.
0170-4214
10.1002/mma.6355
WOS:000535360700029
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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.