Ecuaciones Diferenciales y Análisis Numérico
Recent Submissions
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PhD Thesis
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 − ...
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PhD Thesis
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 ...
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PhD Thesis
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 ...
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PhD Thesis
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 ...
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PhD Thesis
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 ...
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PhD Thesis
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 ...
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PhD Thesis
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 ...
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PhD Thesis
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( ) = ...
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PhD Thesis
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 ...
- PhD Thesis
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PhD Thesis
Aproximación numérica de las ecuaciones primitivas del océano mediante el método de los elementos finitos
(2002-02-22)La Memoria trata sobre el análisis y resolución numérica del modelo de Ecuaciones Primitivas (EP) del Océano mediante el ...
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PhD Thesis
Sobre un problema de control geométrico asociado a inecuaciones variacionales parabólicas
(1982-01-23)• Esta memoria estudia un problema de control geométrico asociado a un problema de Stefan, en principio se estudia la ...
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PhD Thesis
Controlabilidad de algunas ecuaciones en derivadas parciales no lineales de tipo parabólico e hiperbólico
(2005-05-13)Esta memoria está esencialmente dividida en cinco partes, En la primera, se realiza una detallada introducción sobre los ...
- PhD Thesis
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PhD Thesis
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 ...
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PhD Thesis
Resolubility of linear Cauchy problems on Fréchet spaces and a delayed Kaldor’s model
(2019-09-06)The long-run aim of this thesis is to solve delay differential equations with infinite delay of the type d dt u(t) = ...
- PhD Thesis
- PhD Thesis
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PhD Thesis
Estudio de soluciones positivas de problemas elípticos con coeficiente de difusión no-local.
(2018-07-10)En esta Memoria estudiamos teóricamente ecuaciones en derivadas parciales elípticas no lineales con coeficiente de difusión ...
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PhD Thesis
Analysis of infinite dimensional dynamical systems associated to functional differential equations.
(2018-06-28)Based on the theory of functional diferential equations, theory of semigroup, theory of random dynamical systems and theory ...