| Abstract: |
| We study the variational wave equation subject to stochastic forcing, which arises in the modeling of liquid crystals. In this talk, we focus on the existence of local-in-time regular solutions, the occurrence of finite-time blow-up, and the existence of global martingale weak solutions. Additionally, we explore the small-mass limit, known as the Smoluchowski-Kramers approximation, proving that the solution converges to that of a stochastic quasilinear parabolic equation.
This is a joint work with Julien Vovelle. |
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