Mathematics session

This workshop aims at strengthening the relations between the mathematics departments of the two universities: Institut Elie Cartan of Lorraine on the one hand and the Research Center for Pure and Applied Mathematics and the Mathematical Institute on the other hand. It will take place at "Campus Artem" Nancy from September 18th to September 20th.

in the session of Mathematics, we plan to focus on the following three directions which are central in the teams of "partial differential equations and application" of both sides:
- reaction-diffusion systems and application to biological models
- geometrical properties of solutions of elliptic or parabolic
equations, shape optimization
- nonlinear wave and dispersive equations.


Organizers:
Reika Fukuizumi (Univ. Tohoku)
Thomas Giletti (Univ. Lorraine)
Antoine Henrot (Univ. Lorraine)
Shigeru Sakaguchi (Univ. Tohoku)

Program

Tuesday September 17

evening: Student evening (organized by PhD and post-doc students)

Wednesday September 18

9:00 A. Henrot: On two functionals involving the maximum of the torsion function

9:50 Coffee break

10:10 S. Sakaguchi: A characterization of a hyperplane in two-phase heat conductors

11:00 R. Bunoiu: Upscaling of Di usion Problems with Interfacial Flux Jump

12:00 Lunch

14:00 W. Reichel: Equilibrium distributions in the Born-Infeld electrostatic theory

15:00 K. Funano: Upper bounds for higher-order Poincare constants Co ee break

16:10 A. Lemenant: Asymptotic analysis for linear problems via Gamma-convergence

17:00 L. Cavallina: The double queen Dido’s problem

20:00 Gala Dinner

Thursday September 19

9:00 X. Antoine: On the numerical solution and dynamical laws of fractional Schrodinger/Gross-Pitaevskii equations

9:50 Coffee break

10:10 R. Fukuizumi: Gibbs equilibrium for Gross-Pitaevskii equation

11:00 L. Thomann: On the bilinear control of the Gross-Pitaevskii equation

12:00 Lunch

14:00 N. Yoshinaga: Geometric control of wave instability in Min oscilla-tions

15:00 T. Giletti: Propagating terraces in multidimensional and spatially periodic domains

Coffee break

16:10 Y. Nishiura: Heterogeneity-induced Dynamics

17:00 L. Monsaingeon: From discrete Moran-Wright-Fisher processes to con-tinuous Kimura equations by optimal transport

20:00: Wine and Cheese event

Friday September 20

8:30 T. Uda: Constructing Reeb graphs from discrete data and its applica-tion to topological ow data analysis

9:20 T. Ogawa : Maximal regularity for the Cauchy problem of the heat equation in BMO

10:15: Coffee break

10:30 Official ceremony, signature event

12:00: Lunch

13:30 Y. Gao: Well-posedness for a rst-order stochastic conservation law involving a Q-Brownian motion

15:30 visit of the Museum of "Ecole de Nancy" (art nouveau style with Japanese in uence)