Manuel Fernando Cortez

collaborators

3 papers

math.AP2023

Sharp well-posedness and spatial decaying for a generalized dispersive-dissipative Kuramoto-type equation and applications to related models

Manuel Fernando Cortez, Oscar Jarrin

We introduce a fairly general dispersive-dissipative nonlinear equation, which is characterized by fractional Laplacian operators in both the dispersive and dissipative terms. This…

math.AP2014

Blowup issues for a class of nonlinear dispersive wave equations

Lorenzo Brandolese, Manuel Fernando Cortez

In this paper we consider the nonlinear dispersive wave equation on the real line, $u_{t} - u_{t xx} + [f (u)]_{x} - [f (u)]_{xxx} + [g (u) + \frac{f ^{''} ( u )}{2} u_{x}^{2}]_{x} = 0$ , that for appropri…

math.AP2014

PDEs in Moving Time Dependent Domains

Manuel Fernando Cortez, Aníbal Rodríguez-Bernal

In this work we study partial differential equations defined in a domain that moves in time according to the flow of a given ordinary differential equation, starting out of a given…