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- W2000762621 abstract "This work is concerned with a singularly perturbed stochastic nonlinear wave equation with a random dynamical boundary condition. A splitting is used to establish the approximating equation of the system for a sufficiently small singular perturbation parameter. The approximating equation is a stochastic parabolic equation when the power exponent of the singular perturbation parameter is in $[1/2, 1)$ but is a deterministic wave equation when the power exponent is in $(1, +infty)$. Moreover, if the power exponent of a singular perturbation parameter is bigger than or equal to $1/2$, the same limiting equation of the system is derived in the sense of distribution, as the perturbation parameter tends to zero. This limiting equation is a deterministic parabolic equation." @default.
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- W2000762621 date "2013-01-01" @default.
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- W2000762621 title "Approximating Dynamics of a Singularly Perturbed Stochastic Wave Equation with a Random Dynamical Boundary Condition" @default.
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- W2000762621 doi "https://doi.org/10.1137/12088968x" @default.
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