Publications

Published or accepted papers

[1] L. Brandolese, M. F. Cortez. , Blowup issues for a class of nonlinear dispersive wave equations , J. Diff. Equ., 256 (2014),p 3981-3998.
[2] L. Brandolese, M. F. Cortez. , On permanent and breaking waves in hyperelastic rods and rings, J. Funct. Anal., 266 (2014),p 6954-6987.

Preprints

[3] M. F. Cortez. , Blow-up For the b-Family of Equations.
[4] M. F. Cortez. , Slowly oscillating solution of the cubic heat equation

Books

M. F. Cortez , A.Rodríguez-Bernal. , PDEs in Moving Time Dependent Domains, Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics, Springer Berlin Heidelberg, ( 2013),p. 559-577

Research Statement

M. F. Cortez. R. Statement.

Talks

March 2015, Université Claude Bernard Lyon 1 (France), "Formation de singularités pour des équations d''ondes en eaux peu profondes"
February 2015, Universidad Complutense de Madrid (Spain), "Blowup issues for water wave propagation in shallow water"
December 2014, Université d'Evry Val d'Essonne , "Blowup issues for water wave propagation in shallow water", slides

August 2013, University Central (Ecuador), "Finite time blowup of solutions of parabolic equations"