Results 61 to 70 of about 36,135 (246)

BOUNDARY PROBLEMS FOR THE GINZBURG–LANDAU EQUATION [PDF]

Communications in Contemporary Mathematics, 2005
We provide a study at the boundary for a class of equations including the Ginzburg–Landau equation as well as the equation of travelling waves for the Gross–Pitaevskii model. We prove Clearing-Out results and an orthogonal anchoring condition of the vortex on the boundary for the Ginzburg–Landau equation with magnetic field.
openaire   +3 more sources

Multisoliton Solutions of the Complex Ginzburg-Landau Equation [PDF]

Physical Review Letters, 1997
We present novel stable solutions which are soliton pairs and trains of the ID complex Ginzburg-Landau equation (CGLE), and analyze them. We propose that the distance between the pulses and the phase difference between them is defined by energy and momentum balance equations.
Akhmediev, N., Ankiewicz, A., Soto Crespo, J. M.   +2 more
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Fractional Evolution Equation with Nonlocal Multi-Point Condition: Application to Fractional Ginzburg–Landau Equation

Axioms
This paper is devoted to studying the existence and uniqueness of mild solutions for semilinear fractional evolution equations with the Hilfer–Katugampola fractional derivative and under the nonlocal multi-point condition.
Ahmed Salem, Rania Al-Maalwi
doaj   +1 more source

Time-dependent Ginzburg-Landau Equation in the Nambu--Jona-Lasinio Model

, 2010
We apply the closed time-path Green function formalism in the Nambu--Jona-Lasinio model. First of all, we use this formalism to obtain the well-known gap equation for the quark condensate in a stationary homogeneous system.
Adams, Adcox, Aggarwal, Aggarwal, Alford, Alford, Alkofer, Anticic, Arsene, Asakawa, Back, Barducci, Barducci, Barducci, Barducci, Berges, Blaizot, Buballa, Calzetta, Chou, Da Huang, de Focrand, de Forcrand, de Forcrand, Ejiri, Fa-bing Wang, Fodor, Fodor, Fodor, Fu, Fu, Gavai, Gyulassy, Halasz, Hall, Hatsuda, Hatsuda, Hatsuda, Hatta, Jackiw, Keldysh, Klevansky, Klevansky, Kunihiro, Mohanty, Nambu, Nambu, Scavenius, Schuster, Schwinger, Shuryak, Shuryak, Singh, Stefanek, Stephanov, Stephanov, Stephanov, Volkov, Weber, Wei-jie Fu, Zhou, Zhou, Zhou, Zhou   +63 more
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THE GINZBURG–LANDAU EQUATION IN THE HEISENBERG GROUP [PDF]

Communications in Contemporary Mathematics, 2008
We consider a functional related with phase transition models in the Heisenberg group framework. We prove that level sets of local minimizers satisfy some density estimates, that is, they behave as "codimension one" sets. We thus deduce a uniform convergence property of these level sets to interfaces with minimal area.These results are then applied in ...
BIRINDELLI, Isabella, VALDINOCI E.
openaire   +5 more sources

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, Blas Echebarria, Busse, Cakmur, Chaté, Clune, Coullet, Cross, Echebarria, Fantz, Grinstein, Hermann Riecke, Hoyle, Hu, Hu, Janiaud, Küppers, Küppers, Lauzeral, Manneville, Montagne, Montagne, Nam, Neufeld, Ning, Ponty, Popp, Sakaguchi, Soward, Torcini, Torcini, Tu, Xi, Zhong, Zhong   +34 more
core   +3 more sources

Paving the way for future advancements in superconductivity research through gold ormus studies

Beni-Suef University Journal of Basic and Applied Sciences
Background Gold ormus is a type of superconductor that can exhibit superconductivity at temperatures below 1 Kelvin, allowing it to conduct electricity without resistance.
Mohamad Hasson, Mohamad Asem Alkourdi, Marwan Al-Raeei   +2 more
doaj   +1 more source

Limiting vorticities for the Ginzburg-Landau equations

Duke Mathematical Journal, 2003
The asymptotic limit of solutions to the Ginzburg-Landau equations in two dimensions is investigated. The authors study the Ginzburg-Landau system with magnetic field describing a superconductor in an applied magnetic field in the ``London limit'' of a Ginzburg-Landau parameter \(\kappa\) tending to infinity. The asymptotic behavior is examined of the `
Sandier, Etienne, Serfaty, Sylvia
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Superconductors and the periodic penetration parameter: Defining and utilizing in diverse applications

AIP Advances
There are various types of materials that have different levels of electrical conductivity, and one category is known as superconductors or superconducting materials.
Mohamad Asem Alkourdi, Mohamad Hassoun, Marwan Al-Raeei   +2 more
doaj   +1 more source

Bright-Dark and Multi Solitons Solutions of (3 + 1)-Dimensional Cubic-Quintic Complex Ginzburg–Landau Dynamical Equation with Applications and Stability

Entropy, 2020
In this paper, bright-dark, multi solitons, and other solutions of a (3 + 1)-dimensional cubic-quintic complex Ginzburg−Landau (CQCGL) dynamical equation are constructed via employing three proposed mathematical techniques.
Chen Yue, Dianchen Lu, Muhammad Arshad, Naila Nasreen, Xiaoyong Qian   +4 more
doaj   +1 more source