Konferenz: Workshop on the occasion of Erwin Bolthausen's 70th birthday
A coupled KPZ equation
{{_Ltalk:R}} Prof. Dr. Tadahisa Funaki
Datum: 16.09.16 Zeit: 11.00 - 11.50 Raum: Y16G05
A multi-component coupled KPZ equation appears in fluctuating hydrodynamics. The equation is ill-posed in general, and we need to introduce its approximation and renormalizations. We consider two types of approximations and investigate their limits by applying the paracontrolled calculus. The Cole-Hopf transform does not work for coupled equations. This is joint work with Masato Hoshino.