University of Birmingham > Talks@bham > Analysis seminar > Convergence problems for singular stochastic dynamics.

Convergence problems for singular stochastic dynamics.

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Yuzhao Wang.

Over the last twenty years there has been significant progress in the well-posedness study of singular stochastic PDEs in both parabolic and dispersive settings. In this talk, I will discuss some convergence problems for singular stochastic nonlinear PDEs. In a seminal work, Da Prato and Debussche (2003) established well-posedness of the stochastic quantization equation, also known as the parabolic Φk+12-model in the two-dimensional case. More recently, Gubinelli, Koch, Oh, and Tolomeo proved the corresponding well-posedness for the canonical stochastic quantization equation, also known as the hyperbolic Φk+12-model in the two-dimensional case. In the first part of this talk, I will describe convergence of the hyperbolic Φk+12-model to the parabolic Φk+12-model. In the dispersive setting, Bourgain (1996) established well-posedness for the dispersive Φ42-model (=deterministic cubic nonlinear Schrödinger equation) on the two-dimensional torus with Gibbsian initial data. In the second part of the talk, I will discuss the convergence of the stochastic complex Ginzburg-Landau equation (= complex-valued version of the parabolic Φ42-model) to the dispersive Φ42-model at statistical equilibrium.

This talk is part of the Analysis seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

Talks@bham, University of Birmingham. Contact Us | Help and Documentation | Privacy and Publicity.
talks@bham is based on talks.cam from the University of Cambridge.