Results 71 to 80 of about 289 (126)

Random attractors for stochastic plate equations with memory in unbounded domains

Open Mathematics, 2021
In this paper, we investigate the dynamics of stochastic plate equations with memory in unbounded domains. More specifically, we obtain the uniform time estimates for solutions of the problem.
Yao Xiao Bin
doaj   +1 more source

The linear BBM-equation on the half-line, revisited

35A20; 35A22; 35B40; 35C05; 35Q35; 76B07; 76B15; BBM equation; Channel surface waves; Contour integral methods; Initial-boundary-value problems; Wavemaker ...
Chatziafratis, A., Bona, J. L., Chen, H., Kamvissis, S.   +3 more
core   +1 more source

Implication of age-structure on the dynamics of Lotka Volterra equations

, 2019
2010 MSC : (35B35) 35B40 65M08 (65M25) 92D40 92D50 (92D25)International audienceIn this article, we study the behavior of a nonlinear age-structured predator-prey model that is a generalization of Lotka-Volterra equations.
Perasso, Antoine, Antoine Perasso, Richard, Quentin, Quentin Richard   +3 more
core   +1 more source

Threshold results of blow-up solutions to Kirchhoff equations with variable sources [PDF]

This paper analyzes an initial boundary value problem for variable source Kirchhoff-type parabolic equations. We aim to derive a new sub-critical energy threshold for finite-time blow-up, a new blow-up condition, and estimates for lifespan and upper ...
RAHMOUNE, Abita, TOUIL, Nadji
core   +1 more source

Center Manifold and Exponentially-Bounded Solutions of a System of Parabolic Equations

, 2002
AMS (MOS) subject classifications.
Acosta, Antonio, Leiva, Hugo
core  

On the stabilization of a thermoelastic laminated beam system with microtemperature effects [PDF]

The present article investigates a one-dimensional thermoelastic laminated beam with microtemperature effects. Using the energy method, we prove in the case of zero thermal conductivity that the unique dissipation due to the microtemperatures is strong ...
FOUZIA, Foughali, DJELLALI, Fayssal
core   +1 more source

Long-time asymptotic behavior for the Hermitian symmetric space derivative nonlinear Schrödinger equation

Advanced Nonlinear Studies
Resorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
doaj   +1 more source

Convergent families of inertial manifolds for convergent approximations’, Numerical Algorithms 14

, 1997
This paper shows that a sequence of (suitably uniform) inertial manifolds for a family of approximations converges to an inertial manifold for the limiting problem, without imposing any additional assumptions.
James C Robinson
core  

Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations [PDF]

, 2019
We focus on the (sharp) threshold phenomena arising in some reaction-diffusion equations supplemented with some compactly supported initial data. In the so-called ignition and bistable cases, we prove the first sharp quantitative estimate on the (sharp ...
Alfaro, Matthieu, Ducrot, Arnaud, Faye, Gregory   +2 more
core   +1 more source

Existence and nonexistence results for a class of pseudo-parabolic equations with combined logarithmic nonlinearities

Advanced Nonlinear Studies
In this paper, we study the existence and nonexistence results for a class of pseudo-parabolic equations with combined logarithmic nonlinearities γ| u|p-2 u log   |u| + u log  |u|, where γ > 0 and p > 2 satisfy certain conditions.
Zhang Wei, Zhang Jialing
doaj   +1 more source