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Irregular flows in PDEs

Organizer(s):
Name:	Affiliation:	Country:
Maria Colombo	EPFL, Lausanne	Switzerland
Gianluca Crippa	University of Basel	Switzerland
Camillo De Lellis	Institute for Advanced Study	USA
Laura Spinolo	IMATI CNR, Pavia	Italy

Abstract:

A key feature in the analysis of several relevant classes of partial differential equations (PDEs) is the mathematical understanding of transport phenomena in a very low regularity framework. This applies for instance to the equations of fluid dynamics, to conservation laws and to other important equations of mathematical physics. In recent years, this research area has experienced considerable progress and witnessed exciting developments. This special session aims at gathering young researchers working on this and on closely related topics and at promoting scientific interactions.

List of approved abstract
Name	Affiliation	Title
Paolo Bonicatto	Universitat Basel	On the structure of divergence-free measures on $\mathbb R^2$
Guher Camliyurt	University of Chicago	Quantitative estimates for some elliptic and parabolic PDEs
Gennaro Ciampa	University of Basel	Lagrangian and conservative solutions of the 2D Euler equations
Theodore Drivas	Princeton University	Anomalous dissipation for passive scalars
Tarek M Elgindi	UC-San Diego	Singularity formation in inviscid flows
In-Jee Jeong	Korea Institute for Advanced Study	Singularity formation for 3D Euler under octahedral symmetry
Elio Marconi	University of Basel	Regularity estimates for the flow of BV autonomous divergence-free planar vector fields
Riccardo Tione	University of Zurich	Sharp energy regularity for $C^\theta$ solutions of incompressible Euler equations
Zhenfu WANG	University of Pennsylvania	Relative Entropy Method to the Mean Field Limit Problem
Franziska Weber	Carnegie Mellon University	Sufficient conditions for flux scaling laws in the stochastic Navier-Stokes equations
Xiaoqian Xu	Duke Kunshan University	Suppression of chemotactic explosion by mixing