Previous Conferences & Workshops

Apr
07
2022

Workshop on Recent developments in incompressible fluid dynamics

Non-Newtonian fluids and convex integration
Stefano Modena
2:00pm|Simonyi 101 and Remote Access

Abstract: The viscosity of a fluid is usually a constant, independent of the stress. There are however in nature several examples of fluids (ice, molten lava, blood, certain polymers, some salt solutions) where viscosity changes under applied forces...

Apr
07
2022

Workshop on Recent developments in incompressible fluid dynamics

Self-similar gravitational collapse
10:30am|Simonyi 101 and Remote Access

Abstract: We discuss recent mathematical constructions of self-similar gravitational collapse for Newtonian stars governed by the Euler-Poisson system, known as Larson-Penston solutions for the isothermal stars and Yahil solutions for polytropic...

Apr
07
2022

Workshop on Recent developments in incompressible fluid dynamics

The quartic integrability and long time existence of steep water waves in 2D
9:00am|Simonyi 101 and Remote Access

Abstract:  It is known since the work of Dyachenko & Zakharov  that for the weakly nonlinear 2d infinite depth water waves, there are no 3-wave interactions and all of the 4-wave interaction coefficients vanish on the non-trivial resonant manifold...

Apr
06
2022

Special Number Theory Seminar

On the distribution of the Hodge locus
Emmanuel Ullmo
3:00pm|Simonyi Hall 101

The lecture will discuss a joint work with Gregorio Baldi and Bruno Klingler.  Given a polarized Z-VHS over a complex, smooth quasi-projective variety S, we describe some properties of the Hodge locus, a countable union of algebraic subvarieties of...

Apr
06
2022

Workshop on Recent developments in incompressible fluid dynamics

On the sticky particle solutions to the pressureless Euler system in general dimension
Sara Daneri
10:30am

Abstract: In this talk we consider the pressureless Euler system in dimension greater than or equal to two. Several works have been devoted to the search of solutions which satisfy the following adhesion or sticky particle principle: if two...

Apr
06
2022

Workshop on Recent developments in incompressible fluid dynamics

Generic global existence for the modified SQG equation
Javier Gomez-Serrano
9:00am|Simonyi 101 and Remote Access

Abstract: In this talk we will present a construction of global existence of small solutions of the modified SQG equations, close to the disk. The proof uses KAM theory and a Nash-Moser argument, and does not involve any external parameters. We...

Apr
05
2022

Workshop on Recent developments in incompressible fluid dynamics

D'Alembert Principle and weak solutions of the Euler equations
4:00pm|Simonyi 101 and Remote Access

Abstract: Let M be a smooth manifold in an Euclidean space; consider the motion of a material point on M in absence of friction. The D'Alembert Principle says that the acceleration vector is orthogonal to the tangent space to M, and this fact...