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math-ph2004★ 2 cited
Anomalous scaling for 3d Cahn-Hilliard fronts
Timo Korvola, Antti Kupiainen, Jari Taskinen
We prove the stability of the one dimensional kink solution of the Cahn-Hilliard equation under d-dimensional perturbations for d > 2. We also establish a novel scaling behavior of…
math-ph2000
Exponential Mixing of the 2D Stochastic Navier-Stokes Dynamics
J. Bricmont, A. Kupiainen, R. Lefevere
We consider the Navier-Stokes equation on a two dimensional torus with a random force which is white noise in time, and excites only a finite number of modes. The number of excited…