Decay of solutions of a system of nonlinear Klein-Gordon equations.

Ferreira, José; Perla Menzala, Gustavo

Displaying similar documents to “Decay of solutions of a system of nonlinear Klein-Gordon equations.”

On a generalized nonlinear equation of Schrödinger type.

Feng, Xueshang (1995)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Similarity:

Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation

Qingyong Gao, Fushan Li, Yanguo Wang (2011)

Open Mathematics

Similarity:

In this paper, we consider the nonlinear Kirchhoff-type equation $u_{t t} + M ({∥D^{m} u (t)∥}_{2}^{2}) {(- Δ)}^{m} u + {|u_{t}|}^{q - 2} u_{t} = {|u_{t}|}^{p - 2} u$ with initial conditions and homogeneous boundary conditions. Under suitable conditions on the initial datum, we prove that the solution blows up in finite time.

Decay rates for solutions of semilinear wave equations with a memory condition at the boundary.

de Lima Santos, Mauro (2002)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Similarity:

A transmission problem for beams on nonlinear supports.

Ma, To Fu, Portillo Oquendo, Higidio (2006)

Boundary Value Problems [electronic only]

Similarity:

Stability of vibrations for some Kirchhoff equation with dissipation

Prasanta Kumar Nandi, Ganesh Chandra Gorain, Samarjit Kar (2014)

Applications of Mathematics

Similarity:

In this paper we consider the boundary value problem of some nonlinear Kirchhoff-type equation with dissipation. We also estimate the total energy of the system over any time interval $[0, T]$ with a tolerance level $γ$ . The amplitude of such vibrations is bounded subject to some restrictions on the uncertain disturbing force $f$ . After constructing suitable Lyapunov functional, uniform decay of solutions is established by means of an exponential energy decay estimate when the uncertain disturbances...

Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain.

Límaco, J., Clark, H.R., Medeiros, L.A. (2003)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Global existence and uniform stabilization of a nonlinear Timoshenko beam.

Ammari, Kais (2002)

Portugaliae Mathematica. Nova Série

Similarity:

Large time behavior of solutions to the Cauchy problem for one-dimensional thermoelastic system with dissipation.

Nishihara, Kenji, Nishibata, Shinya (2001)

Journal of Inequalities and Applications [electronic only]

Similarity:

Decay rates for solutions of a Timoshenko system with a memory condition at the boundary.

De Lima Santos, Mauro (2002)

Abstract and Applied Analysis

Similarity:

Energy decay estimates for the damped Euler-Bernoulli equation with an unbounded localizing coefficient.

Tcheugoué Tébou, L.R. (2004)

Portugaliae Mathematica. Nova Série

Similarity:

Stabilization of Berger–Timoshenko’s equation as limit of the uniform stabilization of the von Kármán system of beams and plates

G. Perla Menzala, Ademir F. Pazoto, Enrique Zuazua (2002)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Similarity:

We consider a dynamical one-dimensional nonlinear von Kármán model for beams depending on a parameter $ε > 0$ and study its asymptotic behavior for $t$ large, as $ε \to 0$ . Introducing appropriate damping mechanisms we show that the energy of solutions of the corresponding damped models decay exponentially uniformly with respect to the parameter $ε$ . In order for this to be true the damping mechanism has to have the appropriate scale with respect to $ε$ . In the limit as $ε \to 0$ we obtain damped Berger–Timoshenko...