Results 181 to 190 of about 2,507 (215)

Hydrodynamical pathways in the phase change of real fluids.

Gallo M, Occhioni F, Daniele R, Casciola C.   +3 more
europepmc   +1 more source

Long time behaviour for generalized complex Ginzburg–Landau equation

Journal of Mathematical Analysis and Applications, 2007
In this paper, the two-dimensional generalized complex Ginzburg–Landau equation (CGL)ut=ρu−Δφ(u)−(1+iγ)Δu−νΔ2u−(1+iμ)|u|2σu+αλ1⋅∇(|u|2u)+β(λ2⋅∇)|u|2 is studied.
Zhengde Dai
exaly   +2 more sources

Limit behavior of global attractors for the complex Ginzburg–Landau equation on infinite lattices

Applied Mathematics Letters, 2008
In this work, the authors first show the existence of global attractors Aε for the following lattice complex Ginzburg–Landau equation: iu̇m−(α−iε)(2um−um+1−um−1)+iκum+β|um|2σum=gm,m∈Z,ε>0, and A0 for the following lattice Schrödinger equation: iu̇m−α(2um−
Caidi Zhao, Shengfan Zhou
exaly   +2 more sources

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Optical solitons with complex Ginzburg–Landau equation

Nonlinear Dynamics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirzazadeh, Mohammad, Ekici, Mehmet, Sonmezoglu, Abdullah, Eslami, Mostafa, Zhou, Qin, Kara, Abdul H., Milovic, Daniela, Majid, Fayequa B., Biswas, Anjan, Belić, Milivoj   +9 more
openaire   +1 more source

Target waves in the complex Ginzburg-Landau equation

Physical Review E, 2000
We introduce a spatially localized inhomogeneity into the two-dimensional complex Ginzburg-Landau equation. We observe that this can produce two types of target wave patterns: stationary and breathing. In both cases, far from the target center, the field variables correspond to an outward propagating periodic traveling wave.
, Hendrey, , Nam, , Guzdar, , Ott
openaire   +2 more sources

Inviscid Limits¶of the Complex Ginzburg–Landau Equation

Communications in Mathematical Physics, 2000
This paper is devoted to the inviscid limit of the generalized complex Ginzburg-Landau (CGL) equation: \[ \begin{cases}\partial_t u=(a+i\nu)\Delta_x u+Ru-(b+i\mu)f(u)\;\text{in} \Omega,\;t>0\\ U(x,0)=u_0(x),\quad x\in\Omega.\end{cases}\tag{1} \] The authors consider (1) in the whole space \(\Omega=\mathbb{R}^d\) as well as in the torus \(T^d=(\mathbb{R}
Bechouche, Philippe, Jüngel, Ansgar
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Taming turbulence in the complex Ginzburg-Landau equation

Physical Review E, 2010
Taming turbulence in the complex Ginzburg-Landau equation (CGLE) by using a global feedback control method and choosing traveling-wave solutions as our target state is investigated. The problem of optimal control for the smallest driving strength is studied by systematically comparing the stabilities of all traveling waves.
Meng, Zhan, Wei, Zou, Xu, Liu
openaire   +2 more sources

Spatial homogenization by perturbation on the complex Ginzburg–Landau equation

Japan Journal of Industrial and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shun Ito, Hirokazu Ninomiya
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Synchronization in nonidentical complex Ginzburg-Landau equations

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2006
A cross-correlation coefficient of complex fields has been investigated for diagnosing spatiotemporal synchronization behavior of coupled complex fields. We have also generalized the subsystem synchronization way established in low-dimensional systems to one- and two-dimensional Ginzburg-Landau equations.
openaire   +3 more sources