Theory of regularity structures and dynamical Sine-Gordon model

  • Hao Shen (University of Warwick)
A3 01 (Sophus-Lie room)


We discuss the dynamical sine-Gordon equation in two space dimension with parameter $\beta$. Our main result is that when $\beta^2 < 16\pi /3$, the Wick renormalised equation is locally well-posed. We aim to use this particular equation as an example to illustrate the general ideas in the theory of regularity structures recently developed by Martin Hairer.

A main feature of this model is that when $\beta^2 < 4\pi$, previous solution theory applies, while for $\beta^2 \in [4\pi, 16\pi /3)$, one has to apply the theory of regularity structures. This is joint work with Martin Hairer.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher
  • May 21, 2024 tba with Immanuel Zachhuber