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Energy decay of variable‐coefficient wave equation with nonlinear acoustic boundary conditions and source term
Author(s) -
Hao Jianghao,
He Wenhua
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5505
Subject(s) - mathematics , mathematical analysis , ode , term (time) , variable coefficient , wave equation , nonlinear system , variable (mathematics) , ordinary differential equation , boundary value problem , boundary (topology) , energy (signal processing) , energy method , differential equation , physics , statistics , quantum mechanics
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.