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math.AP2026
The viscous variational wave equation with transport noise
Peter H. C. Pang
This article considers the variational wave equation with viscosity and transport noise as a system of three coupled nonlinear stochastic partial differential equations. We prove p…
math.AP2024
Damping-Diffusion-Noise Interactions in the Stochastic Camassa-Holm Equation
Diego Alonso-Orán, Peter H. C. Pang, Hao Tang
In this paper we investigate the effects of the interaction between time-inhomogeneous damping, non-local diffusion, and noise on classical solutions to the Camassa-Holm equation i…