Math.AP: Analysis of PDEs

TBA

(Host local time)
Speaker: Pierre Germain (Courant Institute) - Hosted by One World PDE

Abstract:
TBA (...)

TBA

(Host local time)
Speaker: Tarek Elgindi (UC San Diego) - Hosted by One World PDE

Abstract:
TBA (...)

Sharp Extinction Rates for Fast Diffusion Equations on Generic Bounded Domains

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Speaker: Matteo Bonforte (Universidad Autónoma de Madrid and ICMAT – Instituto de Ciencias Matematicas) - Hosted by One World PDE

Abstract:
Sharp Extinction Rates for Fast Diffusion Equations on Generic Bounded Domains (...)

TBA

(Host local time)
Speaker: Mónica Clapp (Universidad Nacional Autónoma de México) - Hosted by One World PDE

Abstract:
TBA (...)

Geometric stochastic PDEs

(Host local time)
Speaker: Martin Hairer (Imperial College London) - Hosted by UCLA

Abstract:
We review Parisi and Wu’s stochastic quantisation procedure and apply it to the non-linear sigma model as well as the Yang-Mills model. We then review a number of recent results on the resulting equations. In particular, this sheds some new light on an old controversy regarding the interpretation of path integrals. (...)

Introduction to regularity structures 1

(Host local time)
Speaker: Martin Hairer (Imperial College London) - Hosted by UCLA

Abstract:
In these two lectures, I will give an introduction to the main concepts behind the theory of regularity structures which allows to give meaning to many stochastic PDEs that were previously thought to be ill-posed. This combines some of the insights and tools from (perturbative) QFT with classical PDE theory. (...)

Derivation of the wave kinetic equation

(Host local time)
Speaker: Yu Deng (University of Southern California) - Hosted by PDE Seminar via Zoom

Abstract:
The wave turbulence theory describes the nonequilibrium statistical mechanics for a large class of nonlinear dispersive systems. A major goal of this theory is to derive the wave kinetic equation, which predicts the behavior of macroscopic limits of ensemble averages for microscopic interacting systems. Usually this limit happens at a particular “kinetic time scale” in the “weak-nonlinearity” limit where the number of interacting modes goes to infinity while the nonlinearity strength goes to zero. (...)

Introduction to regularity structures 2

(Host local time)
Speaker: Martin Hairer (Imperial College London) - Hosted by UCLA

Abstract:
In these two lectures, I will give an introduction to the main concepts behind the theory of regularity structures which allows to give meaning to many stochastic PDEs that were previously thought to be ill-posed. This combines some of the insights and tools from (perturbative) QFT with classical PDE theory. (...)

Spectral Stability, the Maslov Index, and Spatial Dynamics

(Host local time)
Speaker: Margaret Beck (Boston University) - Hosted by One World PDE

Abstract:
Spectral Stability, the Maslov Index, and Spatial Dynamics (...)

TBA

(Host local time)
Speaker: Matthew Gursky (University of Notre Dame) - Hosted by One World PDE

Abstract:
TBA (...)

TBA

(Host local time)
Speaker: Giuseppe Mingione (Università di Parma) - Hosted by One World PDE

Abstract:
TBA (...)

TBA

(Host local time)
Speaker: Toti Daskalopoulos (Columbia University) - Hosted by One World PDE

Abstract:
TBA (...)

TBA

(Host local time)
Speaker: Andrea Malchiodi (Scuola Normale Superiore) - Hosted by One World PDE

Abstract:
TBA (...)

A model for soap films based on capillarity theory

(Host local time)
Speaker: Francesco Maggi (UT Austin) - Hosted by One World PDE

Abstract:
A model for soap films based on capillarity theory (...)

On the implosion of a three dimensional compressible fluid

(Host local time)
Speaker: Frank Merle (Université de Cergy-Pontoise and IHES) - Hosted by One World PDE

Abstract:
On the implosion of a three dimensional compressible fluid (...)

TBA

(Host local time)
Speaker: Ovidiu Savin (Columbia University) - Hosted by One World PDE

Abstract:
TBA (...)