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Deterministic and Stochastic Dispersive PDEs

Organizer(s):
Name:	Affiliation:	Country:
Svetlana Roudenko	Florida International University	USA
Gigliola Staffilani	Massachusetts Institute of Technology	USA
Nathan Totz	University of Miami	USA
Lev Kapitanski	University of Miami	USA

Abstract:

Dispersive PDEs form a large class of differential equations with rich history, multifaceted applications, and deep and diverse mathematical theory. There are many open questions in the deterministic setting. At the same time, in the stochastic setting many new interesting challenges arise and call for new ideas and new expertise. We expect a seminar-like discussion of various aspects of deterministic and stochastic dispersive equations.

List of approved abstract
Name	Affiliation	Title
Anudeep K Arora	Florida International University	Scattering and blow-up in the generalized Hartree equation
Jorge E Cardona	TU Darmstadt	Selection of measurable semiflows and its applications to PDEs
Magdalena Czubak	University of Colorado Boulder	The viscosity operator for the Navier-Stokes equations on Riemannian manifolds
Yu Deng	University of Southern California	Derivation of the wave kinetic equation
Justin Holmer	Brown University	Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation
Lev Kapitanski	University of Miami	Lagrange, Euler, Hooke, and Cauchy
Vincent R Martinez	CUNY-Hunter College	On the Asymptotic Strong Feller property for dispersive PDEs with a weakly dissipative mechanism
Annie MILLET	University Paris 1 Panth\`eon-Sorbonne	Critical and supercritical stochastic focusing NLS: additive or multiplicative noise
Casey P Rodriguez	Massachusetts Institute of Technology	The Radiative Uniqueness Conjecture for Bubbling Wave Maps
Matthew Rosenzweig	University of Texas at Austin	New Perspectives on the Nonlinear Schrodinger Equation as an Effective PDE for Quantum Many-Body Systems
Kai Yang	Florida International University	Numerical study of stochastic NLS equation
Haitian Yue	University of Southern California	Invariant Gibbs measures and global strong solutions for 2D nonlinear Schr\\"{o}dinger equations.