Course : Reaction-difussion systems : global existence L∞,Lp, L1 ,L2 approaches, singular perturbations, asymptotic behavior.
IMPORTANT: COURSE CANCELED
From July 5th-8th, 2016 Prof. Michel Pierre, from Ecole Normale Supérieur de Cachan and Institut de Recherche Mathématique de Rennes (IRMAR), Bretagne, France, will visit ITMATI to give the course Reaction-difussion systems : global existence L∞,Lp, L1 ,L2 approaches, singular perturbations, asymptotic behavior.
The course will take place at Aula 10 of the Faculty of Mathematics of the University of Santiago de Compostela from 5th to 7th July, from 10 :00 to 12 :00 h.
SCHEDULE :
| Date | Hour | Classroom |
| July, 5 | 10:00 h - 12:00 h | Aula 10 (Level 4, Faculty of Mathematics) |
| July, 6 | 10:00 h - 12:00 h | Aula 10 (Level 4, Faculty of Mathematics) |
| July, 7 | 10:00 h - 12:00 h | Aula 10 (Level 4, Facultyof Mathematics) |
| July, 8 | 10:00 h - 12:00 h | Aula 10 (Level 4, Facultyof Mathematics) |
PROGRAM :
- Introduction : reaction-diffusion systems with positivity (P) and control of the total mass (M). Examples arising in various applications
- Starting point : L∞ approach. Local existence of classical solutions
- A general global existence result: the ”Lp-duality” method
- The structure (P)+(M) does not keep from blowing up
- Existence of global weak supersolutions : an L1-approach
- Case of quadratic systems : an L2-a priori estimate
- Singular perturbations : quasi-steady state approximation, fast reactions
- Asymptotic behavior
- Open problems
Academic Coordinator: Prof. Alfredo Bermúdez de Castro, Investigador adscrito a ITMATI y Catedrático de Matemática Aplicada USC
REGISTRATION: Registration is free. You can confirm your registration at the following registration form (click here). Deadline : June 1st, 2016.
A certificate of attendance for those who request it be delivered.
This course is framed as activity in the Joint Research Unit Repsol-ITMATI which has funding of the Galician Agency for Innovation and the Ministry of Economy and Competitiveness in the framework of the Spanish Strategy Innovation in Galicia
REGISTRATION: Registration is free. You can confirm your registration at the following registration form (click here). Deadline : June 1st, 2016.
A certificate of attendance for those who request it be delivered.
This course is framed as activity in the Joint Research Unit Repsol-ITMATI which has funding of the Galician Agency for Innovation and the Ministry of Economy and Competitiveness in the framework of the Spanish Strategy Innovation in Galicia
Fecha:
Tue, 2016-07-05 10:00 - Fri, 2016-07-08 12:00
Place:
Aula 10, Facultad de Matemáticas, USC
Organizer:
ITMATI, Repsol 
