Results 71 to 80 of about 317 (178)

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

open access: yes
35A20; 35A22; 35B40; 35C05; 35Q35; 76B07; 76B15; BBM equation; Channel surface waves; Contour integral methods; Initial-boundary-value problems; Wavemaker ...
Chatziafratis, A.   +3 more
core   +1 more source

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

open access: yes, 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   +2 more
core   +1 more source

Asymptotic study of a nonlinear elliptic boundary Steklov problem on a nanostructure

open access: yesDemonstratio Mathematica
The present study is related to the existence and the asymptotic behavior of the solution of a nonlinear elliptic Steklov problem imposed on a nanostructure depending on the thickness parameter ε\varepsilon (nano-scale), distributed on the boundary of ...
Maadan Hicham, Messaho Jamal
doaj   +1 more source

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

open access: yes, 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   +3 more
core   +1 more source

Arbitrary decays for a viscoelastic equation [PDF]

open access: yes, 2011
In this paper, we consider the nonlinear viscoelastic equation ∣ u t ∣ ρ u t t - Δ u - Δ u t t + ∫ 0 t g ( t - s ) Δ u ( s ) d s + ∣ u ∣ p u = 0 , in a ...
Shun-Tang Wu, Wu Shun-Tang
core   +1 more source

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

open access: yes, 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  

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

open access: yesAdvanced 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

Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]

open access: yes, 2003
2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type.
Hakkaev, Sevdzhan
core  

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

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

© Hindawi Publishing Corp. REMARKS ON NONLINEAR BIHARMONIC EVOLUTION EQUATION OF KIRCHHOFF TYPE IN NONCYLINDRICAL DOMAIN

open access: yes, 2002
We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the
L. A. Medeiros, H. R. Clark, J. Límaco
core  

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