University of Birmingham > Talks@bham > Analysis Seminar > Stochastic nonlinear wave dynamics on compact surfaces

Stochastic nonlinear wave dynamics on compact surfaces

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If you have a question about this talk, please contact Diogo Oliveira E Silva.

In this talk we discuss some results regarding the nonlinear wave equations in dimension 2 with random data and/or stochastic forcing. After discussing the construction of a formally invariant Gibbs measure associated with the (renormalized) Hamiltonian of the equation, we briefly go along the proof of the well-posedness in the special case where the spatial domain is the two-dimensional torus. Then we explain how to bypass the usual Fourier analytic approach of the construction of the main stochastic objects in order to be able to generalize the result to any two-dimensional compact boundaryless manifold.

This talk is part of the Analysis Seminar series.

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