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SS16: Stochastic Modeling in Biology, Phase transitions and Fluid Dynamics: Theory and Approximation

Organizer(s):
Name:	Affiliation:	Country:
Tadahisa Funaki	University of Tokyo	Japan
Danielle Hilhorst	CNRS and University Paris-Sud Paris-Saclay	France
Roger Temam	Indiana University, Bloomington	USA

Abstract:
Stochastic models play a significant role in science, with numerous applications such as biology, phase transition, climate science, geophysics and engineering. Moreover, sitting at the interface between probability theory, mathematical analysis and the theory of parabolic and hyperbolic partial differential equations, these problems provide interesting and challenging mathematical complications. Motivated by the need from both the outside and inside of the mathematical community, our session will focus on the recent advances in various application fields. We aim to bring together researchers to discuss such models from both the theoretical and applied points of view, with topics including the regularity behavior of solutions, the stochastic dynamics and the stochastic numerical analysis and implementations.

List of approved abstract
Name	Affiliation	Title
Dirk Bl"omker	Universit"at Augsburg	Stochastic motion of droplets in the Cahn-Hilliard equation
Yunshyong Y Chow	Academia Sinica	Some results on Leslie-Gower competition models
Jinqiao Duan	Huazhong University of Science and Technology	Geometrical Methods for Stochastic Dynamics
Perla EL KETTANI	university of Paris-Sud	Existence and uniqueness results for a stochastic phase-field problem.
Franco Flandoli	Scuola Normale Superiore of Pisa	2D Euler equations with random initial conditions
Tadahisa Funaki	Waseda University	Motion by mean curvature from Glauber-Kawasaki dynamics
Yueyuan Gao	MathAM-OIL, AIST and Tohoku University	Existence and uniqueness results for a first order conservation law involving a Q-Brownian motion
Benjamin-Manuel Gess	MPI MIS Leipzig	Path-by-path regularization by noise for scalar conservation laws
Ludovic Goudenege	CNRS	Weak and strong orders of convergence for approximations of the Allen-Cahn equation using splitting strategies.
Martina Hofmanova	University Bielefeld	Stationary solutions to stochastic compressible Navier-Stokes system
Masato Hoshino	Kyushu University	A relation between modeled distributions and paracontrolled distributions
Chang-Yeol Jung	UNIST	Boundary layer analysis for the stochastic nonlinear reaction-diffusion equations
Xue-Mei H Li	Imperial College London	Locally Uniform Birkhoff Ergodic Theorem
Honghu Liu	Virginia Tech	Markovian and Non-Markovian Closures for Stochastic PDEs based on Parameterizations
Yukio NAGAHATA	Niigata University	On scaling limit of a cost in adhoc network model
Hirofumi Osada	Kyushu University	Diffusion in Coulomb environment and a phase transition
Michael Roeckner	Bielefeld University	Variational solutions to nonlinear stochastic differential equations in Hilbert spaces
Makiko Sasada	The University of Tokyo	On the Green-Kubo formula and the gradient condition on currents
Shang-Yuan Shiu	National Central University	On Stochastic Heat Equations
Hendrik Weber	University of Warwick	Metastability for singular stochastic PDE
Bin XIE	Shinshu University	Harnack inequalities for reflected SPDEs and their applications
SATOSHI YOKOYAMA	Waseda University	Sharp interface limit for stochastically perturbed mass conserving Allen-Cahn equation
Yayun Zheng	Huazhong University of Science and Technology	Transitions in a genetic transcriptional regulatory system under L\`{e}vy motion
Rongchan Zhu	Beijing Institute of Technology	Conservative stochastic Cahn-Hilliard equation
xiangchan zhu	Beijing Jiaotong University	Stochastic heat equation with values in a Riemannian manifold: non-compact case