211 citations · 257 across the 11 of their papers we have counts for
4 papers · 1 filter
Anomalous Dissipation in a Stochastically Forced Infinite-Dimensional System of Coupled Oscillators
Jonathan C. Mattingly, Toufic M. Suidan, Eric Vanden-Eijnden
We study a system of stochastically forced infinite-dimensional coupled harmonic oscillators. Although this system formally conserves energy and is not explicitly dissipative, we s…
Malliavin Calculus for Infinite-Dimensional Systems with Additive Noise
Yuri Bakhtin, Jonathan C. Mattingly
We consider an infinite-dimensional dynamical system with polynomial nonlinearity and additive noise given by a finite number of Wiener processes. By studying how randomness is spr…
Simple Systems with Anomalous Dissipation and Energy Cascade
Jonathan C. Mattingly, Toufic Suidan, Eric Vanden-Eijnden
We analyze a class of linear shell models subject to stochastic forcing in finitely many degrees of freedom. The unforced systems considered formally conserve energy. Despite being…
Spectral gaps in Wasserstein distances and the 2D stochastic Navier--Stokes equations
Martin Hairer, Jonathan C. Mattingly
We develop a general method to prove the existence of spectral gaps for Markov semigroups on Banach spaces. Unlike most previous work, the type of norm we consider for this analysi…