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math.AP2022
On the fractional heat semigroup and product estimates in Besov spaces and applications in theoretical analysis of the fractional Keller-Segel system
Jhean E. Pérez-López, Diego A. Rueda-Gómez, Élder J. Villamizar-Roa
This paper is concerned with the fractional Keller-Segel system in the temporal and spatial variables. We consider fractional dissipation for the physical variables including a fra…
math.AP2015
A boundary control problem associated to the Rayleigh-Bénard-Marangoni system
Elder J. Villamizar-Roa, Diego A. Rueda-Gómez
In this paper, we study a boundary control problem associated to the stationary Rayleigh-Bénard-Marangoni (RBM) system in presence of controls for the velocity and the temperature…