Seminar series
Date
Tue, 21 Nov 2023
11:00
11:00
Location
Lecture Room 4
Speaker
Harprit Singh
Organisation
(Imperial College, London)
We consider the homogenisation problem for the ϕ4/2 equation on the torus T2 , i.e. the behaviour as ϵ → 0 of the solutions to the equations suggestively written
∂tuϵ − ∇ · A(x/ϵ, t/ϵ2 )∇uϵ = −u3ϵ + ξ
where ξ denotes space-time white noise and A : T 2 × R is uniformly elliptic, periodic and H¨older continuous. Based on joint work with M. Hairer