One some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov Equations
El jueves 15 de octubre a las 11:30 horas Argenis Méndez, investigadora postdoctoral del Centro de Modelamiento Matemático de la Universidad de Chile, nos dictará la charla denominada ” One some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov Equations”.
Enlace de Zoom
ID de reunión: 843 6512 8555
Código de acceso: 878491
This work aims to study some smoothness properties concerning the initial value problem associated with the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation. More precisely, we prove that the solutions to this model satisfy the so-called propagation of regularity. Roughly speaking, this principle states that if the initial data enjoys some extra smoothness prescribed on a family of half-spaces, then the regularity is propagated with infinite speed. In this sense, we prove that regardless of the scale measuring the extra regularity in such hyperplane collection, then all this regularity is also propagated by solutions of this model. Our analysis is mainly based on the deduction of propagation formulas relating homogeneous and non-homogeneous derivatives in certain regions of the plane.