Hola,
¿eres nuevo aquí?

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

Tengo cuenta

Regístrate

Ver video

DIFNONLOC

Financiado

Cerrado

Diffusive Partial Differential Equations with Nonlocal Interaction in Biology an...

Diffusive Partial Differential Equations with Nonlocal Interaction in Biology and Social Sciences In the presented project we shall develop the analytical theory for a large class of diffusive partial differential equations with nonlocal interaction and related models, having an interdisciplinary set of applications ranging fr... ver más

30/09/2016

UBAH

100K€

Presupuesto del proyecto: 100K€

Líder del proyecto

UNIVERSITY OF BATH 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 FP7 notifico la concesión del proyecto el día 2016-09-30 No tenemos la información de la convocatoria

0% 100% 100%

Información adicional privada

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

1 Participantes

UBAH

0.00€ | 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

Proyectos interesantes

MTM2008-03176 ECUACIONES EN DERIVADAS PARCIALES NO LINEALES 69K€ Cerrado

READI Reaction Diffusion Equations Propagation and Modelling 2M€ Cerrado

Nonlocal-CPD Nonlocal PDEs for Complex Particle Dynamics Phase Transitio... 2M€ Cerrado

PID2020-116949GB-I00 DIFUSION NO LINEAL: PROBLEMAS LOCALES Y NO LOCALES 40K€ Cerrado

PID2020-112517GB-I00 PROBLEMAS NO LINEALES EN CIENCIAS NATURALES Y CIENCIAS SOCIA... 58K€ Cerrado

MTM2008-06326-C02-01 ECUACIONES DE DIFUSION NO LINEAL Y SUS APLICACIONES 148K€ Cerrado

Líder del proyecto

UNIVERSITY OF BATH No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 100K€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto In the presented project we shall develop the analytical theory for a large class of diffusive partial differential equations with nonlocal interaction and related models, having an interdisciplinary set of applications ranging from population biology and microbiology to material science and sociology. In particular, we shall study the existence and uniqueness theory for those models, the qualitative behaviour, the large time behaviour, their microscopic to macroscopic interplay, and singular perturbation problems. Recurring keywords are the Wasserstein gradient flow theory (both in the classical sense, and in the direction of models with nonlinear mobility), and the Entropy solution theory for nonlinear conservation laws. One of the most innovative aspects of this project will be to provide a link between those two theories. A new theory with many species within the mentioned gradient flow setting will be developed. We shall focus in particular on models for pedestrian movements, featuring a highly nonlinear and nonlocal structure, which requires a new approach within the framework of scalar conservation laws. The duality between aggregative behaviour (finite time blow up, formation of spatial patterns) and diffusive behaviour (local repulsion, large time decay, self similar decay) is behind many of the studied problems, as it provides complexity in the large time behaviour with respect to initial data and parameters of the problem. The project will last 4 years, and it will be implemented through a series of activities: research collaborations of the fellow in various universities in UK, Germany, and Italy, 4 events (conferences, summer schools, etc), and 4 mid term visiting period at the host institutions by top class researchers. The host institution is the University of Bath, which provides a permanent Reader position in Applied Mathematics for the fellow. The project will be partly co-funded by other projects (among which the FIRST network, expiring in 2013).

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores