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Mostrando ítems 1-10 de 12
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 Optimal Design Problems by the Regularity Method in Nonlinear Equations
(2022-01-26)
This thesis is devoted to the study of an optimal design problem, which is the maximization of the internal energy for the solution of a p-Laplacian equation for a two-phase material. The control variable is the region ...
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
Dynamics of stochastic systems with delay and applications to real models
(2023-06-22)
In this thesis we investigate the long time behavior of random dynamical systems associ- ated to several kinds of stochastic equations with delays in terms of stability for stationary solutions, weak pullback mean random ...
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 ...
Tesis Doctoral
Analysis and optimal control for chemotaxis-consumption models
(2023-07-19)
En esta tesis investigamos el siguiente modelo de quimiotaxis-consumo en dominios acotados de RN (N = 1, 2, 3): ∂tu − Δu = −∇ · (u∇v), ∂tv − Δv = −usv, donde s ≥ 1, dotado de condiciones de contorno aisladas y condiciones ...
Tesis Doctoral
Reduced Basis Method applied to the Smagorinsky Turbulence Model
(2022-06-03)
This PhD dissertation addresses the numerical simulation of models that simulate the behavior of turbulent flows through reduced-order techniques. The numerical simulation of this kind of flows is complex and pricey, as ...
Tesis Doctoral
Robustness of nonuniform and random exponential dichotomies with applications to differential equations
(2022-03-17)
In this thesis, we study hyperbolicity for deterministic and random nonautonomous dynamical systems and their applications to differential equations. More precisely, we present results in the following topics: nonuniform ...