ASYMPTOTIC EXPANSION OF THE SOLUTION TO THE ROBIN-DIRICHLET PROBLEM FOR THE NONLINEAR WAVE EQUATION WITH VISCOUS ELASTIC TERMS
Keywords:
Viscous elastic wave equation, Kirchhoff-Carrier type, Robin-Dirichlet problem; Asymptotic expansion.Abstract
This paper studies the Robin-Dirichlet problem for the Kirchhoff-Carrier type nonlinear wave equation with viscous elastic terms. By using the Taylor expansion formula to expand the nonlinear term up to the N-th order, we establish a high-order asymptotic expansion in terms of a small parameter of the solution.
