Bifurcations of Nonconstant Solutions of the Ginzburg-Landau Equation
We study local and global bifurcations of nonconstant solutions of the Ginzburg-Landau equation from the families of constant ones. As the topological tools we use the equivariant Conley index and the degree for equivariant gradient maps.
Norimichi Hirano, Sławomir Rybicki
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Quiescent optical solitons with complex Ginzburg-Landau equation having a dozen forms of self-phase modulation. [PDF]
Arnous AH +5 more
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Theoretical Study of Upper Critical Magnetic Field (HC2) in Multiband Iron Based Superconductors
This research work focuses on the theoretical investigation of the upper critical magnetic field, HC2; Ginzburg-Landau coherence length, ξGL(T); and Ginzburg-Landau penetration depth, λGL(T), for the two-band iron based superconductors BaFe2(As1-xPx)2 ...
Tsadik Kidanemariam +1 more
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Stationary optical solitons with complex Ginzburg-Landau equation having nonlinear chromatic dispersion. [PDF]
Yalçı AM, Ekici M.
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The interaction of free Rossby waves with semi-transparent equatorial waveguide – wave-mean flow interaction [PDF]
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
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A logarithmic extension of the Hölder inequality
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]
Kostianko A.
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Analysis of Running Waves Stability in the Ginzburg-Landau Equation with Small Diffusion
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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Let $(V,E)$ 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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This article depicts the heat and mass transport of the double-diffusive convective flow of Walter-B viscoelastic fluid in highly permeable porous media with an internal heat source.
Singh Anupama, Jakhar Atul, Kumar Anand
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