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math.PR2023
Smoluchowski-Kramers diffusion approximation for systems of stochastic damped wave equations with non-constant friction
Sandra Cerrai, Arnaud Debussche
We consider systems of damped wave equations with a state-dependent damping coefficient and perturbed by a Gaussian multiplicative noise. Initially, we investigate their well-posed…
math.PR2023
On the small-mass limit for stationary solutions of stochastic wave equations with state dependent friction
Sandra Cerrai, Mengzi Xie
We investigate the convergence, in the small mass limit, of the stationary solutions of a class of stochastic damped wave equations, where the friction coefficient depends on the s…
math.PR2023
Stochastic wave equations with constraints: well-posedness and Smoluchowski-Kramers diffusion approximation
Sandra Cerrai, Zdzislaw Brzeźniak
We investigate the well-posedness of a class of stochastic second-order in time damped evolution equations in Hilbert spaces, subject to the constraint that the solution lie within…