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arXiv · 2511.13567

A Smoluchowski-Kramers approximation for the stochastic variational wave equation

Billel Guelmame·Julien Vovelle
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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.

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Billel Guelmame, Julien Vovelle. 2025-11-17. A Smoluchowski-Kramers approximation for the stochastic variational wave equation. https://arxiv.org/abs/2511.13567

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