Hola,
¿eres nuevo aquí?

Regístrate gratis y conecta tu empresa con financiación pública, partners y proyectos.

Tengo cuenta

Regístrate

Ver video

HADE

Financiado

Cerrado

Harmonic Analysis and Differential Equations New Challenges

This project sets forth cutting-edge challenges in the field of Mathematical Physics that will be solved within a common framework by making novel use of classical tools of Harmonic Analysis such as Oscillatory Integrals and Trigo... ver más

30/11/2021

UPV

2M€

Presupuesto del proyecto: 2M€

Líder del proyecto

UNIVERSIDAD DEL PAIS VASCO/EUSKAL HERRIKO UNI... No se ha especificado una descripción o un objeto social para esta compañía.

Total investigadores 45

Fecha límite participación Sin fecha límite de participación.

Ver 3 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2021-11-30

ERC-ADG-2014: ERC Advanced Grant

I+D

Cerrada hace 10 años

0% 100% 100%

Información adicional privada

No hay información privada compartida para este proyecto. Habla con el coordinador.

3 Participantes

UPV

1.67M€ | Lider

HEALTH IN CODE

350.00K€ | Participante

BCAM - BASQUE CENTER FOR APP...

768.75K€ | Participante

Proyectos interesantes

TIDE

Applied Physics

Mathematics

165K€ Cerrado

MTM2014-53145-P

Applied Physics

Mathematics

123K€ Cerrado

FLUSPEC

Applied Physics

Mechanical Engi...

2M€ Cerrado

GDSFLOWS

Applied Physics

Mechanical Engi...

165K€ Cerrado

PID2020-112881GB-I00

Applied Physics

Mathematics

97K€ Cerrado

MTM2008-03880

Applied Physics

Mathematics

86K€ Cerrado

Conecta tu I+D

¿Tienes un proyecto y buscas un partner? Gracias a nuestro motor inteligente podemos recomendarte los mejores socios y ponerte en contacto con ellos. Te lo explicamos en este video

Duración del proyecto: 76 meses Fecha Inicio: 2015-07-10
Fecha Fin: 2021-11-30

Líder del proyecto

UNIVERSIDAD DEL PAIS VASCO/EUSKAL HERRIKO UNI... No se ha especificado una descripción o un objeto social para esta compañía.

Total investigadores 45

Presupuesto del proyecto 2M€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto This project sets forth cutting-edge challenges in the field of Mathematical Physics that will be solved within a common framework by making novel use of classical tools of Harmonic Analysis such as Oscillatory Integrals and Trigonometric Sums, the Cauchy operator, and the so-called Carleman estimates. Three aspects will be covered: 1.Vortex Filament Equation (VFE) 2.Relativistic and Non-relativistic Critical Electromagnetic Hamiltonians 3.Uncertainty Principles (UPs) and Applications The interaction of vortex filaments is considered a key issue in order to understand turbulence which is seen by many as the most relevant unsolved problem of classical physics. VFE first appeared as an approximation of the dynamics of isolated vortex filaments. I want to understand what happens when at time zero the filament is a regular polygon. Preliminary theoretical arguments together with some numerical experiments suggest that the different corners behave like different vortex filaments that interact with each other in such a way that the dynamics seem chaotic. I will prove the so-called Frisch-Parisi conjecture, showing that behind this chaotic behavior there is an underlying algebraic structure that controls the dynamics. The Dirac equation, despite being one of the basic equations of Mathematical Physics, is very poorly understood from an analytical point of view. I will use the classical Cauchy operator in a modern way to explain some key Hamiltonian systems such as the MIT bag model for quark confinement. UPs are at the heart of different fields like Quantum Mechanics, Harmonic Analysis, and Information Theory. We want to use a new approach to analyze modern versions of UPs that are not well understood. In order to do this, I will look at the problem from the point of view of partial differential equations making novel use of the Carleman estimates. This analysis will also be extended to the discrete setting where even classical UPs such the one by Hardy are not solved yet

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores