Hola,
¿eres nuevo aquí?

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

Tengo cuenta

Regístrate

Ver video

we-will-shock

Financiado

Cerrado

Quantitative Stability and Regularity of Large Data for Conservation Laws

"The proposed project will focus on the well-posedness theory for hyperbolic systems of conservation laws in multiple space dimensions. The project will consider the stability and well-posedness theory for such systems, in the cas... ver más

30/09/2026

ENS

Presupuesto desconocido

Líder del proyecto

ECOLE NORMALE SUPERIEURE No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Financiación concedida El organismo HORIZON EUROPE notifico la concesión del proyecto el día 2024-10-01

HORIZON-MSCA-2023-PF-01-01: MSCA Postdoctoral Fellowships 2023 Expected Outcome:Project results are expected to contribute to the following outcomes:

I+D

Cerrada hace 1 año

0% 100%

Características del participante

Este proyecto no cuenta con búsquedas de partenariado abiertas en este momento.

Información adicional privada

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

Participantes

ENS

Lider

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: 23 meses Fecha Inicio: 2024-10-01
Fecha Fin: 2026-09-30

Líder del proyecto

ECOLE NORMALE SUPERIEURE No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto "The proposed project will focus on the well-posedness theory for hyperbolic systems of conservation laws in multiple space dimensions. The project will consider the stability and well-posedness theory for such systems, in the cases with and without source.In his 2023 survey of the field, Dafermos writes that ""in regard to systems [of conservation laws], in one spatial dimension, the fundamental question whether the Cauchy problem in the BV setting is well-posed for initial data with large total variation remains wide open.'' Our program to study quantitative stability will allow us to consider not only large BV solutions, but also large L^2 solutions with ""infinite BV.""Classically, the best theory of well-posedness for hyperbolic systems in one space dimension is the L^1 theory of Bressan and coworkers, which considers small-BV solutions. Recent results of the researcher, Chen, and Vasseur go significantly beyond the classical small-BV theory, and are able to treat even large L^2 data. The theory uses the technique of a-contraction, and the key assumption is a strong trace condition, a regularity assumption strictly weaker than BV_loc. Our first main objective in this proposal is to quantify the stability in the a-contraction theory, which hasn't been done so far. More precisely, Objective 1 (Quantitative stability): In the setting of large data, derive quantitative stability estimates between L^2 and BV solutions for a large class of systems in one space dimension.The strong trace condition is the key boundary between general weak solutions and the solutions we can show uniqueness for. This brings us our Objective 2 (Regularity): For scalar conservation laws, possibly with nonlocal or unbounded source, under mild technical assumptions, show the existence of the strong traces.This is open even in the one dimensional scalar case with unbounded source. Showing the existence of strong traces would be a significant step towards the program of Dafermos."

Conecta tu I+D

Entra hoy

¿Olvidó su contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores