Results 31 to 40 of about 31,594 (262)
Stability of Oscillating Hexagons in Rotating Convection [PDF]
, 2000 Breaking the chiral symmetry, rotation induces a secondary Hopf bifurcation in weakly nonlinear hexagon patterns which gives rise to oscillating hexagons.
Benjamin +34 more
core +3 more sources
Ginzburg–Landau equations involving different effects and their solitary waves
Partial Differential Equations in Applied MathematicsGinzburg–Landau (GL) equations describe a wide range of phenomena involving superconductivity, superfluidity, etc. In the present paper, Ginzburg–Landau equations involving distinct laws are considered, and as a consequence, their solitary waves in the ...
K. Hosseini +5 more
doaj +1 more source
Advances in Difference Equations, 2020 In this paper, we consider a class of nonautonomous discrete p-Laplacian complex Ginzburg–Landau equations with time-varying delays. We prove the existence and uniqueness of pullback attractor for these equations.
Xiaoqin Pu, Xuemin Wang, Dingshi Li
doaj +1 more source
Irreducible Ginzburg-Landau fields in dimension 2
, 2018 Ginzburg-Landau fields are the solutions of the Ginzburg-Landau equations which depend on two positive parameters, $\alpha$ and $\beta$. We give conditions on $\alpha$ and $\beta$ for the existence of irreducible solutions of these equations. Our results
Nagy, Ákos
core +1 more source
Complex Ginzburg-Landau equation with nonlocal coupling [PDF]
Physical Review E, 2003 A Ginzburg-Landau-type equation with nonlocal coupling is derived systematically as a reduced form of a universal class of reaction-diffusion systems near the Hopf bifurcation point and in the presence of another small parameter. The reaction-diffusion systems to be reduced are such that the chemical components constituting local oscillators are ...
Tanaka, D, Kuramoto, Y
openaire +2 more sources
Instabilities of Hexagonal Patterns with Broken Chiral Symmetry
, 1999 Three coupled Ginzburg-Landau equations for hexagonal patterns with broken chiral symmetry are investigated. They are relevant for the dynamics close to onset of rotating non-Boussinesq or surface-tension-driven convection.
Bajaj +34 more
core +1 more source
Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossover
, 2009 The Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossover is derived by the path-integral method. In addition to the standard Ginzburg-Landau equation, a second equation describing the total atom density is obtained.
Huang, Kun, Yin, Lan, Yu, Zeng-Qiang
core +1 more source
Finite-parameter feedback control for stabilizing the complex Ginzburg-Landau equation [PDF]
, 2017 In this paper, we prove the exponential stabilization of solutions for complex Ginzburg-Landau equations using finite-parameter feedback control algorithms, which employ finitely many volume elements, Fourier modes or nodal observables (controllers).
Kalantarova, Jamila, Özsarı, Türker
core +2 more sources
Ginzburg–Landau Equation with DeGennes Boundary Condition
Journal of Differential Equations, 1996 Let \(\Omega\) be a bounded domain in \(\mathbb{R}^2\) and \(\varepsilon>0\), \(\gamma(\varepsilon)\) be parameters. The authors study the following semilinear elliptic boundary value problem \[ \varepsilon^2\Delta u+(1- u^2)u\quad\text{in }\Omega,\quad {\partial u\over\partial\nu}+ \gamma(\varepsilon)u=0\quad\text{on }\partial\Omega\tag{1} \] and its ...
Lu, Kening, Pan, Xing-Bin
openaire +2 more sources
VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION [PDF]
Forum of Mathematics, Sigma, 2014 AbstractWe establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions. As our main tool, we establish quantitative bounds on several fundamental quantities, including the kinetic energy, that lead to ...
Kurzke, Matthias, Spirn, Daniel
openaire +5 more sources