Results 141 to 150 of about 1,498 (185)
Resonance transformations for the ( 2 , 2 p + 1 ) minimal string via x - y swap: a proof of Artemev's conjecture. [PDF]
Dekinga K, Shadrin S, Verlinde E.
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Signature of Quantum Phase Slips in a Layered Quasi-One-Dimensional Nb<sub>2</sub>PdS<sub>5</sub> Superconductor. [PDF]
Jha R +6 more
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Limit to Self-Field Critical Current Density in Thin-Film, Type-II Superconductors. [PDF]
Goyal A +3 more
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The Statistical-Mechanical Meaning of the Wave Function of Quantum Mechanics. [PDF]
Robledo A.
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Dynamic Bifurcation of the Ginzburg--Landau Equation
SIAM Journal on Applied Dynamical Systems, 2004Summary: We study in this article the bifurcation and stability of the solutions of the Ginzburg-Landau equation, using a notion of bifurcation called attractor bifurcation. We obtain in particular a full classification of the bifurcated attractor and the global attractor as \(\lambda\) crosses the first critical value of the linear problem ...
Shouhong Wang, Jungho Park
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A Bifurcation Analysis for the Ginzburg-Landau Equation
Archive for Rational Mechanics and Analysis, 1998The authors consider the following boundary-value problem for the Ginzburg-Landau equation \[ \begin{aligned}-\Delta u={1\over\varepsilon^2} u_\varepsilon(1-|u_\varepsilon|^2)\quad &\text{in }B,\\ u_\varepsilon(z)= z^d\quad &\text{on }\partial B,\end{aligned}\tag{1} \] where \(B\) is the unit ball of \(\mathbb{R}^2\), \(d\in\mathbb{N}^*\) and ...
Comte, Myriam, Mironescu, Petru
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On the Ginzburg-Landau Wave Equation
Bulletin of the London Mathematical Society, 1990Consider the initial value problem of the Ginzburg-Landau wave equation with a general power self-interaction term: \[ (*)\quad \phi_ t=(1+i\alpha)\Delta \phi +(1+i\beta)\phi -(1+i\gamma)| \phi |^{\mu -1}\phi,\quad x\in {\mathbb{R}}^ n,\quad t>0, \] \[ \phi (x,0)=\phi_ 0(x),\quad x\in {\mathbb{R}}^ n, \] where \(\phi\) is a complex scalar function ...
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Small energy solutions to the Ginzburg–Landau equation
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. Bethuel +2 more
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Onset of chaos in the generalized Ginzburg-Landau equation
Physical Review A, 1990Study of chaos in the generalized Ginzburg-Landau equation (GLE) $$ {\text{iu}}_{\text{t}} + {\text{u}}_{{\text{xx}}} + 2\left| {\text{u}} \right|^{\text{2}} {\text{u}} = {\text{i}} \in _1 {\text{u}} - {\text{i}} \in _3 \left| {\text{u}} \right|^2 {\text{u}} + {\text{i}} \in _2 u_{{\text{xx}}} $$ (1) is a subject of great current interest ...
, Malomed, , Nepomnyashchy
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The Ginzburg–Landau equation for interfacial instabilities
Physics of Fluids A: Fluid Dynamics, 1992A coherent method for pursuing a numerical multiple scales analysis of an interface problem is presented. Finding numerical boundary conditions for the homogeneous adjoint problem and evaluation of surface terms in the inhomogeneous solvability criteria is reduced to one singular value decomposition. The method is applied to derive the complex Ginzburg–
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