Name
Title | ||
|---|---|---|
Approximating Dynamics of a Singularly Perturbed Stochastic Wave Equation with a Random Dynamical Boundary Condition. |
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, +infinity). 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. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1137/12088968X | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
stochastic wave equation,random dynamical boundary condition,singular limit,convergence in distribution,weak convergence | Fokker–Planck equation,Regular singular point,Mathematical optimization,Mathematical analysis,Stochastic differential equation,Singular perturbation,Helmholtz equation,Heat equation,Partial differential equation,Mathematics,Fisher's equation | Journal |
Volume | Issue | ISSN |
45 | 5 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Guanggan Chen | 1 | 0 | 0.34 |
| Jinqiao Duan | 2 | 23 | 15.58 |
| Jian Zhang | 3 | 0 | 1.01 |