The bifurcation phenomena in the resistive state of the narrow superconducting channels
We have investigated the properties of the resistive state of the narrow superconducting channel of the length L/\xi=10.88 on the basis of the time-dependent Ginzburg-Landau model.
A G Balanov +8 more
core +1 more source
Topological methods for the Ginzburg-Landau equations
Summary: We consider the Ginzburg-Landau equation \[ - \Delta u = \varepsilon^{- 2} u \bigl( 1 - |u |^2 \bigr) \text{ in } \Omega, \quad u = g \text{ on } \partial \Omega, \] where \(\Omega\) is a domain in \(\mathbb{R}^2\), \(g : \partial \Omega \to \mathbb{C}\) is such that \(|g |= 1\) on \(\partial \Omega\), and \(\varepsilon > 0\) is a parameter ...
Almeida, Luís, Bethuel, Fabrice
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Three‐Dimensional Simulation of Crack Initiation in ice Shelves at Pinning Points
ABSTRACT Ice shelves are large ice masses floating on the ocean that are still connected to the inland ice of a glacier. Due to high elevations in the bathymetry, the ice shelf can be partially grounded. These areas are called ice rises that act as pinning points.
Rabea Sondershaus +2 more
wiley +1 more source
Darboux-Egoroff Metrics, Rational Landau-Ginzburg Potentials and the Painleve VI Equation
We present a class of three-dimensional integrable structures associated with the Darboux-Egoroff metric and classical Euler equations of free rotations of a rigid body. They are obtained as canonical structures of rational Landau-Ginzburg potentials and
A H Zimerman +18 more
core +1 more source
Bifurcation Analysis of a Coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-Type Model
We study the bifurcation and stability of trivial stationary solution (0,0) of coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-type equations (KS-GL) on a bounded domain (0,L) with Neumann's boundary conditions.
Lei Shi
doaj +1 more source
Superconductor in a weak static gravitational field
We provide the detailed calculation of a general form for Maxwell and London equations that takes into account gravitational corrections in linear approximation.
Giovanni Alberto Ummarino +1 more
doaj +1 more source
Attractive Interaction Between Pulses in a Model for Binary-Mixture Convection
Recent experiments on convection in binary mixtures have shown that the interaction between localized waves (pulses) can be repulsive as well as {\it attractive} and depends strongly on the relative {\it orientation} of the pulses.
B. Malomed +21 more
core +1 more source
Complex Ginzburg-Landau equations with a delayed nonlocal perturbation
We consider an initial boundary value problem of the complex Ginzburg-Landau equation with some delayed feedback terms proposed for the control of chemical turbulence in reaction diffusion systems. We consider the equation in a bounded domain $\Omega\
Jesus Ildefonso Diaz +3 more
doaj
Ergodicity for the stochastic Complex Ginzburg–Landau equations [PDF]
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
Global solutions for 2D coupled Burgers-complex-Ginzburg-Landau equations
In this article, we study the periodic initial-value problem of the 2D coupled Burgers-complex-Ginzburg-Landau (Burgers-CGL) equations. Applying the Brezis-Gallout inequality which is available in 2D case and establishing some prior estimates, we ...
Hongjun Gao, Lin Lin, Yajun Chu
doaj

