6 citations · 6 across the 5 of their papers we have counts for
5 papers
On the minimal Blow-up rate for the 2D generalized Zakharov- Kuznetsov model
Jessica Trespalacios
In this note we consider the generalized Zakharov-Kuznetsov equation in , for initial conditions in the Sobolev space with Assuming that there is a blow…
Nonlinear Stability of nonsingular solitons of the Principal Chiral Field equation
Miguel Á. Alejo, Claudio Muñoz, Jessica Trespalacios
We consider the Principal Chiral Field model posed in 1+1 dimensions into the Lie group . In this work we show the nonlinear stability of small enough nonsi…
Global Existence and Long Time Behavior in Einstein-Belinski-Zakharov Soliton Spacetimes
Claudio Muñoz, Jessica Trespalacios
We consider the vacuum Einstein field equations under the Belinski-Zakharov symmetry, which leaves the problem as a 1+1-dimensional quasilinear system of PDEs. Depending on the cho…
Global Existence and Long Time Behavior in the 1+1 dimensional Principal Chiral Model with Applications to Solitons
Jessica Trespalacios
In this paper, we consider the 1+1 dimensional vector valued Principal Chiral Field model (PCF) obtained as a simplification of the Vacuum Einstein Field equations under the Belins…
Riccati-Ermakov systems and explicit solutions for variable coefficient reaction-diffusion equations
E. Pereira, E. Suazo, J. Trespalacios
We present several families of nonlinear reaction diffusion equations with variable coefficients including Fisher-KPP and Burgers type equations. Special exact solutions such as tr…