Ecuaciones Diferenciales y Análisis Numérico
Envíos recientes
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Tesis Doctoral
Study of a nonlocal Chafee-Infante equation using semigroup theory
(2024-06-06)In this work, we focus on analyzing non-local and quasilinear variations of the Chafee-Infante problem, including one ...
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Tesis Doctoral
Dynamics of deterministic and stochastic systems containing colored noise and delay or memory
(2024-04-12)This thesis is concerned with the dynamics of deterministic systems with memory, as well as stochastic systems with ...
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Tesis Doctoral
Some applications of reduced order modelling to slow-fast dynamical systems, turbulence models and elliptic PDEs
(2024-03-08)En las últimas décadas, el progreso tecnológico ha elevado el rol de las simulaciones numéricas a ser una herramienta ...
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Tesis Doctoral
Characterization of attractors for non-autonomous dynamical systems: Applications to non-dissipative case and ecological models
(2024-02-23)Esta tesis está dedicada a la exploración de atractores para sistema dinámicos. Nuestro análisis sigue dos enfoques ...
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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 − ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
- Tesis Doctoral
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Tesis Doctoral
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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Tesis Doctoral
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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Tesis Doctoral
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 ...
- Tesis Doctoral
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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 ...
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Tesis Doctoral
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) = ...