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SUMMARY:Solving the dynamical sine-Gordon equation - Dr Hao Shen\, Univers
 ity of Warwick 
DTSTART:20141021T153000Z
DTEND:20141021T163000Z
UID:TALK55380@talks.cam.ac.uk
CONTACT:37296
DESCRIPTION:We discuss the dynamical sine-Gordon equation in two space dim
 ension with parameter $\\beta$. This is a heat equation perturbed by space
 -time white noise and a trigonometric nonlinearity\, which is the natural 
 dynamic associated to the sine-Gordon model in quantum field theory. We sh
 ow that when $\\beta^2 < 16\\pi /3$\, the Wick renormalised equation is we
 ll-posed. In the regime $\\beta^2 < 4\\pi$\, the Da\nPrato-Debussche metho
 d (2003) applies\, while for $\\beta^2 \\in [4\\pi\, 16\\pi /3)$\, the sol
 ution theory is provided via the theory of regularity structures (Hairer 2
 013). This is joint work with Prof. Martin Hairer.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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