Results 21 to 30 of about 34 (34)

Decay of solutions of a system of nonlinear Klein‐Gordon equations

International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 471-483, 1986., 1986
We study the asymptotic behavior in time of the solutions of a system of nonlinear Klein‐Gordon equations. We have two basic results: First, in the L∞(ℝ3) norm, solutions decay like 0(t−3/2) as t → +∞ provided the initial data are sufficiently small. Finally we prove that finite energy solutions of such a system decay in local energy norm as t → +∞.
José Ferreira, Gustavo Perla Menzala
wiley   +1 more source

Blowup and Global Solutions of a Fourth‐Order Parabolic Equation With Variable Exponent Logarithmic Nonlinearity

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
In this work, we deal with a fourth‐order parabolic equation with variable exponent logarithmic nonlinearity. We obtain the global existence and blowup solutions using the energy functional and potential well method.
Gülistan Butakın, Erhan Pişkin, Ercan Çelik, Shrideh K. Q. Al-Omari   +3 more
wiley   +1 more source

A coupled system of mKdV-KdV equations with damping

Applied Mathematics in Science and Engineering
In this paper, we study the influence of a damping term on the dynamics of a coupled Korteweg–de Vries type system, namely the mKdV–KdV system, posed on the real line.
Aissa Boukarou, Khaled Zennir, Keltoum Bouhali, Safa M. Mirgani   +3 more
doaj   +1 more source

Existence of global solutions to a quasilinear wave equation with general nonlinear damping

Electronic Journal of Differential Equations, 2002
In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}cap H_{0}^{1}$.
Mohammed Aassila, Abbes Benaissa
doaj  

A memory-type thermoelastic laminated beam with structural damping and microtemperature effects: Well-posedness and general decay

Demonstratio Mathematica
In previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa, Yazid Fares, Boulaaras Salah Mahmoud   +2 more
doaj   +1 more source

Mild solutions for a problem involving fractional derivatives in the nonlinearity and in the non-local conditions

Advances in Difference Equations, 2011
A second-order abstract problem of neutral type with derivatives of non-integer order in the nonlinearity as well as in the nonlocal conditions is investigated. This model covers many of the existing models in the literature. It extends the integer order
Tatar Nasser-eddine
doaj  

Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping

Boundary Value Problems, 2011
In this paper, we consider the system of nonlinear viscoelastic equations u t t - Δ u + ∫ 0 t g 1 ( t - τ ) Δ u ( τ ) d τ - Δ u t = f 1 ( u , v ) , ( x , t )
Liang Fei, Gao Hongjun
doaj  

A necessary and sufficient condition for the existence of an exponential attractor

Open Mathematics, 2003
Pražák Dalibor
doaj   +1 more source

On Global Attraction to Stationary States for Wave Equations with Concentrated Nonlinearities. [PDF]

J Dyn Differ Equ, 2018
Kopylova E.
europepmc   +1 more source

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

Open Mathematics, 2011
Gao Qingyong, Li Fushan, Wang Yanguo
doaj   +1 more source