11 citations · 25 across the 6 of their papers we have counts for
7 papers
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…
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…
Controllability of the Strongly Damped Impulsive Semilinear Wave Equation with Memory and Delay
Cristi Guevara, Hugo Leiva
This article is devoted to study the interior approximated controllability of the strongly damped semilinear wave equation with memory, impulses and delay terms. The problem is cha…
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…
Leray's self-similar solutions to the Navier--Stokes equations with profiles in Marcinkiewicz and Morrey spaces
Cristi Guevara, Nguyen Cong Phuc
We rule out the existence of Leray's backward self-similar solutions to the Navier--Stokes equations with profiles in or in the Marcinkiewicz space $L^{q,\infty}(\…
Global Behavior Of Finite Energy Solutions To The -Dimensional Focusing Nonlinear Schrödinger Equation
Cristi Guevara
We study the global behavior of finite energy solutions to the -dimensional focusing nonlinear Schrödinger equation (NLS), with initial data…
Scattering and Blow up for the Two Dimensional Focusing Quintic Nonlinear Schrödinger Equation
Cristi Guevara, Fernando Carreon
Using the concentration-compactness method and the localized virial type arguments, we study the behavior of solutions to the focusing quintic NLS in , namely, $$i \par…