A Smoluchowski-Kramers approximation for the stochastic variational wave equation
Analysis of PDEs
2025-11-18 v1 Probability
Abstract
We investigate the Smoluchowski-Kramers approximation for the one-dimensional periodic variational wave equation with state-dependent damping and additive noise. We show that weak ``dissipative'' solutions converge to solutions of a stochastic quasilinear parabolic equation.
Cite
@article{arxiv.2511.13567,
title = {A Smoluchowski-Kramers approximation for the stochastic variational wave equation},
author = {Billel Guelmame and Julien Vovelle},
journal= {arXiv preprint arXiv:2511.13567},
year = {2025}
}