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1 School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh, United Kingdom 2 EDP - Equations aux dérivées partielles IECL - Institut Élie Cartan de Lorraine

Abstract : We consider the defocusing nonlinear wave equations NLW on the two-dimensional torus. In particular, we construct invariant Gibbs measures for the renormalized so-called Wick ordered NLW. We then prove weak universality of the Wick ordered NLW, showing that the Wick ordered NLW naturally appears as a suitable scaling limit of non-renormalized NLW with Gaussian random initial data.

Keywords : white noise functional Hermite polynomial Gibbs measure nonlinear wave equation nonlinear Klein-Gordon equation generalized KdV equation Wick ordering weak universality





Autor: Tadahiro Oh - Laurent Thomann -

Fuente: https://hal.archives-ouvertes.fr/



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