Results 21 to 30 of about 31,594 (262)
Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models [PDF]
, 2014 We describe a generic theoretical framework, denoted as the Boltzmann-Ginzburg-Landau approach, to derive continuous equations for the polar and/or nematic order parameters describing the large scale behavior of assemblies of point-like active particles ...
Bertin, Eric +3 more
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Ginzburg–Landau equations and their generalizations
Indagationes Mathematicae, 2023 The Ginzburg-Landau equations were proposed in the superconductivity theory to describe mathematically the intermediate state of superconductors in which the normal conductivity is mixed with the superconductivity. It was understood later on that these equations play an important role also in various problems of mathematical physics.
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The Ginzburg-Landau equation III. Vortex dynamics [PDF]
Nonlinearity, 1998 Summary: We study the time-dependent Ginzburg-Landau equation of Schrödinger type in two dimensions. The initial conditions are chosen to describe several well-separated vortices. Our task is to understand the vortex structure of the corresponding solutions as well as corrections due to radiation.
Ovchinnikov, Yu. N., Sigal, I. M.
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Controllability of the Ginzburg–Landau equation
Comptes Rendus. Mathématique, 2007 This Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg–Landau equation. Null-controllability results are derived from a Carleman estimate and an analysis based upon the theory of sectorial operators.
Rosier, Lionel, Zhang, Bing-Yu
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The asymptotic behavior of the stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations
Boundary Value Problems, 2020 The stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations (KS-GL) perturbed by additive noises is investigated in this paper. By making careful analysis, we first consider the existence and uniqueness of the solution with initial-boundary
Lin Lin, Mei Li
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Condensed Matter, 2023 Studies involving vortexes in hybrid superconducting devices and their interactions with different components inside samples are important for reaching higher values of critical parameters in superconducting materials.
Jesús González +2 more
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East European Journal of Physics, 2020 In this paper we studied the weakly nonlinear stage of stationary convective instability in a nonuniformly rotating layer of an electrically conductive fluid in an axial uniform magnetic field under the influence of: a) temperature modulation of the ...
Michael I. Kopp +2 more
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Fractional Ginzburg–Landau equation for fractal media [PDF]
Physica A: Statistical Mechanics and its Applications, 2005 We derive the fractional generalization of the Ginzburg-Landau equation from the variational Euler-Lagrange equation for fractal media. To describe fractal media we use the fractional integrals considered as approximations of integrals on fractals. Some simple solutions of the Ginzburg-Landau equation for fractal media are considered and different ...
Tarasov, Vasily E., Zaslavsky, George M.
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Electrodynamics of s-Wave Superconductors Using First-Order Formalism
Condensed Matter, 2017 In this paper we give a derivation of a system of equations which generalize the London brothers and Ginzburg–Landau systems of equations, to describe the electrodynamics of s-wave superconductors.
Naoum Karchev
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Frequency-Uniform Decomposition, Function Spaces , and Applications to Nonlinear Evolution Equations
Journal of Function Spaces and Applications, 2013 By combining frequency-uniform decomposition with (), we introduce a new class of function spaces (denoted by ). Moreover, we study the Cauchy problem for the generalized NLS equations and Ginzburg-Landau equations in .
Shaolei Ru, Jiecheng Chen
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