Results 121 to 130 of about 6,114 (231)

Ginzburg-Landau Model for Stability Analysis of Fluid Flows

A general scheme for the solution of stability problems for two-dimensional flows (the Navier-Stokes equations and shallow water equations) by means of a weakly nonlinear theory is analyzed in the paper. Equations of the first, second and the third order
Eglīte, Irina, Koliškins, Andrejs
core  

Numerical Simulation of Ginzburg-Landau Equations

, 2009
We introduced two methods to discretize the Ginzburg-Landau equations with the help of link variables. With these equations, we build models to simulate the mixed state of type-II superconductivity.
Liu, Baowei
core  

Quasi-classical theory of weakly anisotropic superconductors [PDF]

, 2012
This thesis starts by reviewing superconductivity in one-dimension where fluctuations cause a loss of supercurrent due to an intrinsic resistance. Solved via the Ginzburg-Landau equations, the theory of thermally activated phase slips given by Langer and
Smith, Mark James
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Normal/superconducting transitions in Landau–Ginzburg theory

, 1991
SynopsisThe Landau–Ginzburg equations governing a normal/superconducting transition layer are considered. Existence, uniqueness and monotonicity of a solution are proved.
S. J. Chapman, S. D. Howison, J. B. McLeod, J. R. Ockendon   +3 more
core   +1 more source

Existence and Uniqueness of Weak Solutions for the Stochastic Fractional Ginzburg–Landau Equation

Fractal and Fractional
In this study, we investigate the existence and uniqueness of weak solutions for a stochastic Ginzburg–Landau equation involving the fractional Laplacian.
Jiaxin Li, Dongge Ma, Xinyao Li, Xiaoju Zhang, Lixu Yan   +4 more
doaj   +1 more source

Nonlocal abstract ginzburg-landau type equations and application

We study a nonlocal abstract Ginzburg–Landau type equation. The equation includes variable coefficients with convolution terms and an abstract linear operator function A in a Fourier-type Banach space E.
Shakhmurov, Veli
core   +1 more source

Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations

Electronic Journal of Differential Equations, 2017
Blow-up phenomena of weakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equations is shown by a straightforward ODE approach, not by the so-called test-function method used in [38] which gives the natural blow-up
Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi   +2 more
doaj  

Stability of the Stochastic Ginzburg–Landau–Newell Equations in Two Dimensions

Axioms
This paper concerns the 2D stochastic Ginzburg–Landau–Newell equations with a degenerate random forcing. We study the relationship between stationary distributions which correspond to the original and perturbed systems and then prove the stability of the
Jing Wang, Yan Zheng
doaj   +1 more source

Synchronization of two discrete Ginzburg–Landau equations using local coupling

, 2006
: The identical synchronization of two discrete Ginzbug-Landau equations using local coupling is proved in the theory. It is based on the theory of infinite dimensional dynamical system.
Zhenyuan Xu
core  

Global weak solutions for the Ginzburg-Landau equations of superconductivity

, 1999
The time-dependent Ginzburg-Landau equations of superconductivity in three spatial dimensions are investigated in this paper. We establish the existence of global weak solutions for this model with any Lp (p ≥ 3) initial data.
Su, Ning, Wang, Bixiang
core   +1 more source