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SEMINARIO 2016/01 CRUZ DEL SUR

SEMINARIO CRUZ DEL SUR
EXISTENCE OF SOLUTIONS FOR THE 3D-MICROPOLAR FLUID SYSTEM WITH INITIAL DATA IN BESOV-MORREY SPACES

Miércoles 6 de Abril del 2016, Sala I-105 Dpto de Matemática y Estadística UFRO.
Conferencista: ERWIN HENRIQUEZ L.

Resumen.

We show a local-in-time existence result for the 3D micropolar fluid system in the framework of Besov-Morrey spaces with time fractional differential operator of order α ∈ (0, 1]. The kind of solution involves a family of opperators called Mittag-Leffler,
which arises naturally in the abstract theory of fractional calculus. The initial data class is larger than the previous ones and contains strongly singular functions and measures.