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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…