Noticias Destacadas
 Agenda del Departamento |
- Información (provisional) sobre grupos y horarios de las asignaturas impartidas por el Departamento de Matemáticas, para el curso 2023-2024.
- Propuestas de Trabajos de Fin de Grado para el curso 2023-2024.
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Canal @matematicasuamEnlace al canal del Departamento en youtube. |
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PIM (Pequeño Instituto de Matemáticas)Con el objetivo de fomentar el interés por las matemáticas y dirigido a jóvenes entre 14 y 18 años, nace este proyecto de Instituto de Ciencias Matemáticas (ICMAT) en colaboración con nuestro Departamento, la Universidad Autónoma de Madrid y la Real Sociedad Matemática Española. El proyecto comienzó en el curso académico 2022-2023. Ampliar información en su página web. |
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COLOQUIO DEPARTAMENTO DE MATEMÁTICAS/ICMAT
COLOQUIO DEPARTAMENTO DE MATEMÁTICAS/ICMAT
László Székelyhi (Universidad de Leipzig)
"The h-principle in fluid mechanics: non-uniqueness and energy dissipation"
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10 de febrero de 2017, Módulo 17, Aula 520 , 12:30 |
It is known since the pioneering work of Scheffer and Shnirelman in the 1990s that weak solutions
of the incompressible Euler equations behave very differently from classical solutions, in a way that is very difficult to interpret from a physical point of view. Nevertheless, weak solutions in three space dimensions have been studied
in connection with a long-standing conjecture of Lars Onsager from 1949 concerning anomalous
dissipation and, more generally, because of their possible relevance to Kolmogorov’s K41 theory of turbulence.
In joint work with Camillo De Lellis we established a connection between the theory of weak
solutions of the Euler equations and the Nash-Kuiper theorem on rough isometric immersions. Through this connection we
can interpret the wild behaviour of weak solutions of the Euler equations as an instance of Gromov's celebrated h-principle.
In this lecture I will explain this connection and outline the most recent progress concerning Onsager's
of the incompressible Euler equations behave very differently from classical solutions, in a way that is very difficult to interpret from a physical point of view. Nevertheless, weak solutions in three space dimensions have been studied
in connection with a long-standing conjecture of Lars Onsager from 1949 concerning anomalous
dissipation and, more generally, because of their possible relevance to Kolmogorov’s K41 theory of turbulence.
In joint work with Camillo De Lellis we established a connection between the theory of weak
solutions of the Euler equations and the Nash-Kuiper theorem on rough isometric immersions. Through this connection we
can interpret the wild behaviour of weak solutions of the Euler equations as an instance of Gromov's celebrated h-principle.
In this lecture I will explain this connection and outline the most recent progress concerning Onsager's
Localización 10 de febrero de 2017, Módulo 17, Aula 520, 12:30