11 citations · 25 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
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…