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math.AP2011
On the approximation for singularly perturbed stochastic wave equations
Wei Wang, Yan Lv, A. J. Roberts
We explore the relation between fast waves, damping and imposed noise for different scalings by considering the singularly perturbed stochastic nonlinear wave equations νu_{tt}+u_t…
math.AP2011★ 14 cited
Averaging approximation to singularly perturbed nonlinear stochastic wave equations
Yan Lv, A. J. Roberts
An averaging method is applied to derive effective approximation to the following singularly perturbed nonlinear stochastic damped wave equation νu_{tt}+u_t=\D u+f(u)+ν^α\dot{W} on…