Trabajo Fin de Máster
Análisis y control de problemas de tipo Navier-Stokes
Autor/es | Marín Gayte, Irene |
Director | Fernández Cara, Enrique |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2017-06 |
Fecha de depósito | 2017-07-26 |
Titulación | Universidad de Sevilla. Máster Universitario en Matemáticas |
Resumen | This work is framed within the field of EDPs and Numerical Analysis, aiming to continue the study of the Navier-Stokes equations which was already started on the subjects “EDPyA”, “ANED” and “MySN”. It is meant for deepening ... This work is framed within the field of EDPs and Numerical Analysis, aiming to continue the study of the Navier-Stokes equations which was already started on the subjects “EDPyA”, “ANED” and “MySN”. It is meant for deepening our knowledge on the regularity and control of the Navier-Stokes equations. Additionally, an analogous study of the Boussinesq system is carried out. Throughout this text we broach the existence, uniqueness and regularity of the Navier-Stokes equations as well as the Boussinesq system. The article of Caffarelli, Kohn and Nirenberg plays a central role in the research of the regularity of Navier-Stokes equations. Besides the above-mentioned aspects, various numerical methods to approximate the solutions to the Navier-Stokes equations and Boussinesq system are wide developed. The applicability of the results is exemplified by studying the simulations of these methods. The text concludes with a theoretical analysis of the control of the Navier-Stokes equations. |
Cita | Marín Gayte, I. (2017). Análisis y control de problemas de tipo Navier-Stokes. (Trabajo Fin de Máster Inédito). Universidad de Sevilla, Sevilla. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Marín Gayte Irene TFG.pdf | 1.391Mb | [PDF] | Ver/ | |