Xiaojun Lu, M. Reissig
2009.9.3International Journal of Dynamical Systems and Differential Equations
tlooto Summary
This 2009 paper studies decay rates for structural damped models with decreasing time coefficients using WKB-analysis and exploring high-order energy estimates.
Abstract
The goal of this paper is to study the Cauchy problem for a family of structural damped models interpolation between classical damped wave and wave model with viscoelastic dissipation. We are interested to observe the parabolic effect in high order energy estimates, that is, decay rates depend on the order of the energy. The main tools are related to WKB-analysis. One has to apply elliptic as well as hyperbolic WKB-analysis in different parts of the extended phase space.
Citation format
LU, Xiaojun; REISSIG, M. Rates of decay for structural damped models with decreasing in time coefficients. International Journal of Dynamical Systems and Differential Equations, 2009, 2: 21–55.