3 papers
math.AP2026
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…
math.AP2026
Nonlinear Stability of nonsingular solitons of the Principal Chiral Field equation
Miguel Ã. 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…
math.AP2026
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…