More on asymptotic behavior for solutions of the nonlinear dissipative forced wave equation

On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

Journal of Mathematical Physics ◽

10.1063/5.0003515 ◽

2021 ◽

Vol 62 (3) ◽

pp. 031512

Author(s):

Adel M. Al-Mahdi ◽

Mohammad M. Al-Gharabli ◽

Mohammad Kafini ◽

Shadi Al-Omari

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Past History

Huygens' Principle for a Wave Equation and the Asymptotic Behavior of Solutions along Geodesies**This work was started by the author while being a fellow at the Weizmann Institute of Science, Rehovot, Israel.

Hyperbolic Equations and Related Topics ◽

10.1016/b978-0-12-501658-2.50018-x ◽

1986 ◽

pp. 257-271

Author(s):

Kimimasa NISHIWADA

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Asymptotic Behavior Of Solutions ◽

Weizmann Institute ◽

Huygens Principle

Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms

Boundary Value Problems ◽

10.1186/s13661-015-0288-6 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Huafei Di ◽

Yadong Shang

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Global Existence ◽

Nonlinear Damping ◽

Asymptotic Behavior Of Solutions ◽

Source Terms ◽

Damping And Source Terms ◽

Dissipative Wave Equation

Global existence and asymptotic behavior for a mildly degenerate Kirchhoff wave equation with boundary damping

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-2012-01281-0 ◽

2012 ◽

Vol 70 (2) ◽

pp. 253-267 ◽

Cited By ~ 1

Author(s):

Qiong Zhang

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Global Existence ◽

Boundary Damping

Global existence and asymptotic behavior of solutions for a semi-linear wave equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.07.010 ◽

2012 ◽

Vol 385 (2) ◽

pp. 836-853 ◽

Cited By ~ 25

Author(s):

Yu-Zhu Wang ◽

Fagui Liu ◽

Yuanzhang Zhang

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Global Existence ◽

Asymptotic Behavior Of Solutions ◽

Linear Wave ◽

Linear Wave Equation

Blow up and asymptotic behavior in a nondissipative nonlinear wave equation

Applicable Analysis ◽

10.1080/00036811.2013.859250 ◽

2013 ◽

Vol 93 (9) ◽

pp. 1963-1978 ◽

Cited By ~ 4

Author(s):

Jorge A. Esquivel-Avila

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Blow Up

Multiple periodic solutions of a superlinear forced wave equation

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf01759999 ◽

1992 ◽

Vol 162 (1) ◽

pp. 43-76 ◽

Cited By ~ 4

Author(s):

Kazunaga Tanaka

Keyword(s):

Wave Equation ◽

Periodic Solutions ◽

Forced Wave ◽

Multiple Periodic Solutions

Asymptotic behavior of the transmission Euler-Bernoulli plate and wave equation with a localized Kelvin-Voigt damping

Discrete and Continuous Dynamical Systems - Series B ◽

10.3934/dcdsb.2016021 ◽

2016 ◽

Vol 21 (6) ◽

pp. 1757-1774 ◽

Cited By ~ 5

Author(s):

Fathi Hassine

Keyword(s):

Asymptotic Behavior ◽

Wave Equation

Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation

10.21136/mb.2019.0054-18 ◽

2019 ◽

Vol 145 (2) ◽

pp. 205-223

Author(s):

Mohamed Berbiche

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Asymptotic Behavior Of Solutions ◽

Damped Wave Equation

Homogenization and correctors for the wave equation with periodic coefficients

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202514500031 ◽

2014 ◽

Vol 24 (07) ◽

pp. 1343-1388 ◽

Cited By ~ 5

Author(s):

Juan Casado-Díaz ◽

Julio Couce-Calvo ◽

Faustino Maestre ◽

José D. Martín Gómez

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Space Variable ◽

Limit Problem ◽

Almost Periodic ◽

Wave Problem ◽

Periodic Coefficients ◽

Convergence Method

Using the two-scale convergence method, we study the asymptotic behavior of a wave problem in ℝN with periodic coefficients in the space variable and almost-periodic coefficients in the time one. We obtain a nonlocal corrector and show how this implies that the limit problem is nonlocal in general.