4 papers
Optimal control of therapies related to an oxytaxis glioblastoma model
Juan J. Forero-Hernańdez, Francisco Guillén-González, Élder J. Villamizar-Roa
We propose and analyze an optimal control problem associated with a Keller-Segel type parabolic system with chemoattraction, modeling the glioblastoma growth in a bi-dimensional bo…
On the management fourth-order Schrödinger-Hartree equation
Carlos Banquet, Élder J. Villamizar-Roa
We consider the Cauchy problem associated to the fourth-order nonlinear Schrödinger-Hartree equation with variable dispersion coefficients. The variable dispersion coefficients are…
Time-decay and Strichartz estimates for the Benjamin-Bona-Mahony equation and existence of solutions on modulation spaces
Carlos Banquet, Élder J. Villamizar-Roa
In this paper we derive time-decay and Strichartz estimates for the generalized Benjamin-Bona-Mahony equation on the framework of modulation spaces We use this results…
Global existence for an attraction-repulsion chemotaxis fluid model with logistic source
Abelardo Duarte-Rodríguez, Lucas C. F. Ferreira, Élder J. Villamizar-Roa
We consider an attraction-repulsion chemotaxis model coupled with the Navier-Stokes system. This model describes the interaction between a type of cells (e.g., bacteria), which pro…