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Tesis Doctoral
A contribution to the analysis of time fractional stochastic functional partial differential equations and applications
(2020-05-20)
On the one hand, the classical heat equation∂tu= ∆udescribes heatpropagation in a homogeneous medium, while the time fractional diffusionequation∂αtu= ∆uwith 0< α <1 has been widely used to model anoma-lous diffusion ...
Tesis Doctoral
Finite-dimensionality of attractors for dynamicl systems wigh applications: deterministic and random settings
(2021-01-27)
In this work we obtain estimates on the fractal dimension of attractors in three different settings: global attractors associated to autonomous dynamical systems, uniform attractors associated to non-autonomous dynamical ...
Tesis Doctoral
Study of PDE-ODE Glioblastoma model with nonlinear diffusion and chemotaxis
(2021-11-29)
This thesis is dedicated to modeling and analyzing mathematically the development of Glioblastoma. Thanks to considering the vasculature as an additional variable, it is possible to obtain more realistic mathematical ...
Tesis Doctoral
Singularly nonautonomous semilinear evolution equations with almost sectorial operators
(2021-09-21)
In this work we consider the singularly nonautonomous semilinear parabolic problem ut + A(t)u = F(u); t > ; u( ) = u0; in a Banach space X, where A(t); t 2 R, is a family of uniformly almost sectorial operators. The ...
Tesis Doctoral
Análisis y control de algunas EDPS no lineales
(2021)
En este trabajo se presentan varios resultados de tipo teórico y numérico para diversos problemas diferenciales. Comenzamos analizando un resultado de existencia de solución “admisible” para las EDPs de Navier-Stokes con ...