On nonlinear wave equations of Carrier type

https://doi.org/10.1016/j.jmaa.2015.06.070Get rights and content
Under an Elsevier user license
open archive

Abstract

This paper is concerned with the initial-boundary value problem of the n-dimensional Carrier equation with an internal damping. This damping is a fractional power of the velocity of the points of the material. The Faedo–Galerkin method, Tartar approach and compactness arguments provide the global existence of solutions of the above problem with restriction on the size of the initial data. The decay of solutions is obtained by the perturbation method.

Keywords

Carrier equation
Tartar method
Decay of solution

Cited by (0)