Article

Acta Applicandae Mathematicae

, Volume 109, Issue 2, pp 507-525

Energy Decay for the Strongly Damped Nonlinear Beam Equation and Its Applications in Moving Boundary

  • Jung Ae KimAffiliated withDepartment of Mathematics, Chungnam National University Email author 
  • , Keonhee LeeAffiliated withDepartment of Mathematics, Chungnam National University

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Abstract

We study the existence and energy decay of solutions for the strongly damped nonlinear beam equation. We apply a method based on Nakao method to show that the solution decays exponentially, and to obtain precise estimates of the constants in the estimates. Finally, we discuss its applications in moving boundary.

Keywords

Nonlinear beam equation Moving boundary Nakao method Galerkin method