Asymptotic profiles and singular limits for the viscoelastic damped wave equation with memory of type I
Asymptotic profiles and singular limits for the viscoelastic damped wave equation with memory of type I
In this paper, we are interested in the Cauchy problem for the viscoelastic damped wave equation with memory of type I. By applying WKB analysis and Fourier analysis, we explain the memory's influence on dissipative structures and asymptotic profiles of solutions to the model with weighted $L^1$ initial data. Furthermore, …