Decay estimates for the Cauchy problem for the damped extensible beam equation

Racke, Reinhard; Yoshikawa, Shuji

Decay estimates for the Cauchy problem for the damped extensible beam equation

Files

Racke_0-279949.pdf(481.91 KB)

Date

2015

Authors

Racke, Reinhard

Yoshikawa, Shuji

Series

Konstanzer Schriften in Mathematik; 335

Publication type

Working Paper/Technical Report

Abstract

The extensible beam equation proposed by Woinovsky-Krieger is a fourth order dispersive equation with nonlocal nonlinear terms. In this paper we study the Cauchy problem of the extended model by Ball who proposed the model with external and structural damping terms. This includes a Kelvin-Voigt damping. We show the unique global existence of solution for this problem and give a precise description of the decay of solutions in time.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

RACKE, Reinhard, Shuji YOSHIKAWA, 2015. Decay estimates for the Cauchy problem for the damped extensible beam equation

BibTex

@techreport{Racke2015Decay-30730,
  year={2015},
  series={Konstanzer Schriften in Mathematik},
  title={Decay estimates for the Cauchy problem for the damped extensible beam equation},
  number={335},
  author={Racke, Reinhard and Yoshikawa, Shuji}
}

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