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- Title
Energy decay of variable‐coefficient wave equation with nonlinear acoustic boundary conditions and source term.
- Authors
Hao, Jianghao; He, Wenhua
- Abstract
In this paper, we consider a variable‐coefficient wave equation with nonlinear acoustic boundary conditions and source term. Using the Riemannian geometry method, we prove the general energy decay of the system corresponds to the ordinary differential equation (ODE), which certainly is stable under some suitable assumptions.
- Subjects
NONLINEAR wave equations; WAVE equation; ORDINARY differential equations; RIEMANNIAN geometry
- Publication
Mathematical Methods in the Applied Sciences, 2019, Vol 42, Issue 6, p2109
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.5505