3 papers
math.OC2020
Controllability of Impulsive Semilinear Evolution Equations with Memory and Delay in Hilbert Spaces
Cristi D. Guevara, Hugo Leiva
Inspired in our work on the controllability for the semilinear with memory \cite{Carrasco-Guevara-Leiva:2017aa, Guevara-Leiva:2016aa, Guevara-Leiva:2017aa}, we present the general…
math.AP2017
Short-Time Nonlinear Effects in the Exciton-Polariton System
Cristi D. Guevara, Stephen P. Shipman
In the exciton-polariton system, a linear dispersive photon field is coupled to a nonlinear exciton field. Short-time analysis of the lossless system shows that, when the photon fi…
math.AP2017
Local energy bounds and -regularity criteria for the 3D Navier-Stokes system
Cristi Guevara, Nguyen Cong Phuc
The system of three dimensional Navier-Stokes equations is considered. We obtain some new local energy bounds that enable us to improve several -regularity criteria. They key id…