Results 11 to 20 of about 60 (60)

Algebraically decaying pulses in a Ginzburg-Landau system with a neutrally stable mode. [PDF]

, 2006
. In this paper, we study the existence and stability of pulse solutions in a system with interacting instability mechanisms, which is described by a Ginzburg-Landau equation for an A-mode, coupled to a diffusion equation for a B-mode.
Doelman, Arjen, Hek, G.M., Hek, G. (Geertje), Hek, Geertje, Valkhoff, N., Valkhoff, N.J.M., Doelman, A. (Arjen), Doelman, A.   +7 more
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Bifurcations in Kuramoto–Syvashinsky Equation [PDF]

, 2015
Kuramoto–Sivashinsky equation with periodic boundary-value conditions is considered. The stability of the homogeneous equilibrium is investigated as well as the local bifurcation of the spatially nonhomogeneous t-periodic solutions.
Kulikov, Dmitri, Kulikov, Anatoli
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An elliptic equation with an indefinite sublinear boundary condition

Advances in Nonlinear Analysis, 2016
We investigate the ...
Ramos Quoirin Humberto, Umezu Kenichiro
doaj   +1 more source

Pattern formation for a reaction-diffusion system: Catalytic-dependent diffusion coefficients [PDF]

, 1994
Se considera un modelo de reacción-difusión para dos reactantes en presencia de un tercero, que actúa de catalizador. La escala temporal para el catalizador se compara con la de los reactantes y los coeficientes de difusión dependen solamente de la ...
Fernández de la Nuez, Isabel, Pacheco Castelao, José Miguel, García Cortí, Juan Luis   +2 more
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Linear stability and bifurcation analysis for a free boundary problem arising in a double-layered tumor model

Advances in Nonlinear Analysis
In this article, we consider a free boundary problem modeling the growth of a double-layered tumor, which contains quiescent cells and proliferating cells.
Liu Yaxin, Song Huijuan, Wang Zejia
doaj   +1 more source

Global Components of Positive Bounded Variation Solutions of a One-Dimensional Indefinite Quasilinear Neumann Problem

Advanced Nonlinear Studies, 2019
This paper investigates the topological structure of the set of the positive solutions of the one-dimensional quasilinear indefinite Neumann ...
López-Gómez Julian, Omari Pierpaolo
doaj   +1 more source

Global Existence and Uniqueness for an Optical Fiber Laser Model [PDF]

, 2007
. We prove global existence and uniqueness of solutions for a modified nonlinear Schrodinger equation modeling pulse propagation in an optical fiber laser.
Er Mielkey, J. Nathan Kutz, Alexander Mielke, Philip Holmes   +3 more
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Dynamics And Bifurcations Of A Planar Map Modelling Dispersion Managed Breathers [PDF]

, 1997
. We study a non-autonomous ODE with piecewise-constant coefficients and its associated two-dimensional Poincar'e mapping. The ODE models variations in amplitude and phase of a pulse propagating in a lossless optical fiber with periodically varying ...
J. Nathan Kutz, Philip Holmes
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Ground state solutions and multiple positive solutions for nonhomogeneous Kirchhoff equation with Berestycki-Lions type conditions

Demonstratio Mathematica
This article is concerned with the following Kirchhoff equation: −a+b∫R3∣∇u∣2dxΔu=g(u)+h(x)inR3,-\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}{| \nabla u| }^{2}{\rm{d}}x\right)\Delta u=g\left(u)+h\left(x)\hspace{1em}{\rm{in}}\hspace{0.33em ...
Huang Lanxin, Su Jiabao
doaj   +1 more source

Global Branch of Solutions for Non-Linear Schrödinger Equations with Deepening Potential Well [PDF]

, 2017
We consider the stationary non-linear Schrödinger equation Δu+{ 1+λg(x) }u=f(u)with u∈H1RN,u ≠0 where λ > 0 and the functions f and g are such that lims→0f(s)s ...
Zhou, Huan-Song, Stuart, C. A.
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