A Smoluchowski–Kramers approximation for an infinite dimensional system with state-dependent damping
نویسندگان
چکیده
We study the validity of a Smoluchowski–Kramers approximation for class wave equations in bounded domain Rn subject to state-dependent damping and perturbed by multiplicative noise. prove that small mass limit solution converges stochastic quasilinear parabolic equation where noise-induced extra drift is created.
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ژورنال
عنوان ژورنال: Annals of Probability
سال: 2022
ISSN: ['0091-1798', '2168-894X']
DOI: https://doi.org/10.1214/21-aop1549