Recent Advances in Degenerate Parabolic Systems with Applications to Mathematical Biology
In recent years, cross-diffusion systems have gained a lot of attention due to their widespread range of applications in mathematical biology and other areas of applied mathematics. While degenerate parabolic equations for a single species have been studied extensively in the past, systems require a much more minute study.
The workshop aims at bringing together leading experts in the fields of degenerate parabolic PDEs and cross-diffusion systems arising in mathematical-biology contexts and discussing new strategies. The event is organised by young researchers and targeted to early career researchers.
The workshop was made possible by the BOUM programme (BOUges tes Mathématiques pour les jeunes de la SMAI) and by the support of the ERC advanced Grant Adora (Asymptotic approach to spatial and dynamical organizations).
Venue: Laboratoire Jacques-Louis Lions, Sorbonne-Université, 4 place Jussieu, 75252 Paris cedex 05
Room: Campus Jussieu, barre 15-16, 3ème étage, salle 09 (15-16-3-09)
Dates: 19-21 February 2020
Registration is now closed.
Registration is free but mandatory (as the number of seats is limited), please fill the form at the bottom of this page.
Organisers:
- L. Alasio
- M. Schmidtchen
Speakers and titles
- M. Bruna, "Excluded volume and order in systems of Brownian needle"
- E. Daus, "Analysis of a degenerate and singular volume-filling cross-diffusion system modeling biofilm growth "
- A. Esposito, "Nonlinear and degenerate cross-diffusion systems with nonlocal interaction"
- S. Fagioli, "Stationary states for systems of cross diffusion nonlocal interactions"
- D. Hilhorst, "Spatial segregation limit of travelling wave solutions of a cross-diffusion system "
- Y. J. Kim, "Discrete velocity kinetic equations of Ito and Stratonovich types"
- E.-H. Laamri, "Global Existence for reaction-diffusion systems with initial data of low regularity"
- A. Moussa, "From non-local to classical cross-diffusion: a step toward the full derivation of SKT systems"
- B. Tăng Quốc , "Indirect diffusion effect in degenerate reaction-diffusion systems "
- A. Trescases, "Cross-diffusion and local sensing models in Biology"
Notice that the following schedule may be subject to changes.
Wednesday 19/02/2020
11.00 - 14.00 > Free discussions
14.00 - 14.30 > Registration & Opening
14.30 - 15.20 > D. Hilhorst
15.20 - 16.10 > S. Fagioli
16.10 - 16.30 > Coffee break
16.30 - 17.20 > M. Bruna
17.20 - 18.30 > Work in groups
Thursday 20/02/2020
09.30 - 10.20 > A. Moussa
10.20 - 10.40 > Coffee break
10.40 - 11.30 > E. Daus
11.30 - 12.20 > A. Esposito
12.20 - 13.40 > Lunch break
13.40 - 14.30 > B. Tăng Quốc
14.30 - 15.20 > A. Trescases
15.20 - 18.30 > Work in groups
19.30 > Conference dinner
Friday 21/02/2020
09.30 - 10.20 > E.-H. Laamri
10.20 - 10.40 > Coffee break
10.40 - 11.30 > Y. J. Kim
11.30 - 13.00 > Conclusions & free discussions
List of participants
- L. Alasio
- L. Almeida
- G. Bevilacqua
- E. Brocchieri
- M. Bruna
- V. Caliaro
- Y. Capdeboscq
- G. Ciavolella
- L. Corrias
- E. Daus
- N. David
- T. Dębiec
- A. Esposito
- G. Estrada
- J. Evans
- S. Fagioli
- L. Girardin
- D. Hilhorst
- Y. J. Kim
- E.-H. Laamri
- A. Moussa
- D. Peurichard
- B. Perthame
- M. Schmidtchen
- S. Schulz
- B. Tăng Quốc
- A. Trescases