Manuel Fernando Cortez

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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…