Results 111 to 120 of about 33,545 (214)
Ergodicity for the stochastic Complex Ginzburg–Landau equations [PDF]
Annales de l'Institut Henri Poincare (B) Probability and Statistics, 2006 We study a stochastic complex Ginzburg--Landau (CGL) equation driven by a smooth noise in space and we establish exponential convergence of the Markovian transition semi-group toward a unique invariant probability measure. Since Doob Theorem does not seem not to be useful in our situation, a coupling method is used.
openaire +5 more sources
, 1998 We consider initial data for the real Ginzburg-Landau equation having two widely separated zeros. We require these initial conditions to be locally close to a stationary solution (the ``kink'' solution) except for a perturbation supported in a small ...
Bray A J +6 more
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Exact Phase Solutions of Nonlinear Oscillators on Two-dimensional Lattice
, 2003 We present various exact solutions of a discrete complex Ginzburg-Landau (CGL) equation on a plane lattice, which describe target patterns and spiral patterns and derive their stability criteria.
Aranson I. S. +6 more
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On the validity of the degenerate Ginzburg-Landau equation [PDF]
, 1996 The Ginzburg{Landau equation which describes nonlinear modulation of the amplitude of the basic pattern does not give a good approximation when the Landau constant (which describes the in uence of the nonlinearity) is small.
Shepeleva, A.
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The interaction of free Rossby waves with semi-transparent equatorial waveguide – wave-mean flow interaction [PDF]
Nonlinear Processes in Geophysics, 2009 Nonlinear interactions of the barotropic Rossby waves propagating across the equator with trapped baroclinic Rossby or Yanai modes and mean zonal flow are studied within the two-layer model of the atmosphere, or the ocean. It is shown that the equatorial
G. M. Reznik, V. Zeitlin
doaj
A logarithmic extension of the Hölder inequality
Journal of Inequalities and Applications, 1999 We prove a logarithmic extension of the Höllder inequality, motivated by an application to the complex Ginzburg–Landau equation.
Velo G, Ginibre J
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Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg-Landau equation. [PDF]
Proc Math Phys Eng Sci, 2020 Kostianko A.
europepmc +1 more source
Analysis of Running Waves Stability in the Ginzburg-Landau Equation with Small Diffusion
Моделирование и анализ информационных систем, 2011 We study the local dynamics of the Ginzburg-Landau equation with small diffusion in a neibourhood of running waves. We find necessary conditions of running waves instability and sufficient conditions of their stability.
A. A. Kashchenko
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Comptes Rendus. MathématiqueLet $(V,E)$ be a locally finite weighted graph. We study some qualitative properties of positive solutions of the Lichnerowicz equation \[ v_t-\Delta v=v^{-p-2}-v^p, \;(x,t)\in V \times \mathbb{R}, \] and of (sign-changing) solutions of the Ginzburg ...
Duong, Anh Tuan, Fujiié, Setsuro
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