Results 1 to 10 of about 33,545 (214)

Thermodynamic Limit Of The Ginzburg-Landau Equations [PDF]

Nonlinearity, 1993
We investigate the existence of a global semiflow for the complex Ginzburg-Landau equation on the space of bounded functions in unbounded domain. This semiflow is proven to exist in dimension 1 and 2 for any parameter values of the standard cubic ...
Babin A V, Collet P, Collet P, Duan J, Duan J, Duan J, Eckhaus W, Friedman A, Henry D, Iooss G, Iooss G, Kato T, Matkowsky B J, Mielke A, Newell A, P Collet, Pazy A, Schneider G, Segel L, Solonnikov V A, van Harten A, Yang Y   +21 more
core   +3 more sources

Nonequilibrium Dynamics in the Complex Ginzburg-Landau Equation [PDF]

Physical Review E, 2001
We present results from a comprehensive analytical and numerical study of nonequilibrium dynamics in the 2-dimensional complex Ginzburg-Landau (CGL) equation.
A. Weber, A.J. Bray, A.J. Bray, A.J. Bray, A.N. Pargellis, B. Yurke, F. Rojas, G.F. Mazenko, G.F. Mazenko, G.F. Mazenko, H. Chate, H. Chate, H. Toyoki, I.S. Aranson, K. Binder, M. C. Cross, M.C. Cross, P.S. Hagan, S. K. Das, S. Puri, Sanjay Puri, Subir K. Das, T. Ohta, W. van Saarloos, Y. Kuramoto   +24 more
core   +7 more sources

VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION [PDF]

Forum of Mathematics, Sigma, 2014
We establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions.
MATTHIAS KURZKE, DANIEL SPIRN
doaj   +5 more sources

The exact solutions of the stochastic Ginzburg–Landau equation

Results in Physics, 2021
The main goal of this paper is to obtain the exact solutions of the stochastic real-valued Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense.
Wael W. Mohammed, Hijaz Ahmad, Amjad E. Hamza, E.S. ALy, M. El-Morshedy, E.M. Elabbasy   +5 more
doaj   +3 more sources

Machine-Learning-Guided Design of Incommensurate Antiferroelectrics via Field-Driven Phase Engineering. [PDF]

Adv Sci (Weinh)
The key to enhancing the energy storage performance of antiferroelectrics lies in regulating the phase transition and reverse phase transition. A phase‐field‐machine learning framework is employed to predict the energy storage performance of Pb‐based incommensurate antiferroelectrics with multi‐scale regulation strategy, thereby revealing the dynamic ...
Xu K, Shi X, Xi Z, Dong S, Guo C, Gao R, Yang L, Wang J, Zhou D, Huang H.   +9 more
europepmc   +2 more sources

Soliton turbulences in the complex Ginzburg-Landau equation [PDF]

Physical Review E, 2007
We study spatio-temporal chaos in the complex Ginzburg-Landau equation in parameter regions of weak amplification and viscosity. Turbulent states involving many soliton-like pulses appear in the parameter range, because the complex Ginzburg-Landau ...
G. P. Agrawal, Hidetsugu Sakaguchi, P. Manneville, T. Bohr, U. Frisch, Y. Kuramoto   +5 more
core   +3 more sources

Homogenization of Attractors to Ginzburg-Landau Equations in Media with Locally Periodic Obstacles: Critical Case [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper the Ginzburg-Landau equation is considered in locally periodic porous medium, with rapidly oscillating terms in the equation and boundary conditions.
K.A. Bekmaganbetov, G.A. Chechkin, V.V. Chepyzhov, A.A. Tolemis   +3 more
doaj   +2 more sources

Reliability of the Ginzburg–Landau Theory in the BCS-BEC Crossover by Including Gaussian Fluctuations for 3D Attractive Fermions

Condensed Matter, 2021
We calculate the parameters of the Ginzburg–Landau (GL) equation of a three-dimensional attractive Fermi gas around the superfluid critical temperature.
Filippo Pascucci, Andrea Perali, Luca Salasnich   +2 more
doaj   +1 more source

Solving Nonlinear Fractional Models in Superconductivity Using the q-Homotopy Analysis Transform Method

Journal of Mathematics, 2023
The Ginzburg–Landau (GL) equation and the Ginzburg–Landau couple system are important models in the study of superconductivity and superfluidity. This study describes the q-homotopy analysis transform method (q-HATM) as a powerful technique for solving ...
Khalid K. Ali, M. Maneea, Mohamed S. Mohamed   +2 more
doaj   +1 more source

Investigation on Ginzburg-Landau equation via a tested approach to benchmark stochastic Davis-Skodje system

Alexandria Engineering Journal, 2021
We propose new numerical methods with adding a modified ordinary differential equation solver to the Milstein methods for solution of stiff stochastic systems.
Kazem Nouri, Hassan Ranjbar, Dumitru Baleanu, Leila Torkzadeh   +3 more
doaj   +1 more source