Results 111 to 120 of about 31,594 (262)

A Bound Preserving Energy Stable Scheme for a Nonlocal Cahn–Hilliard Equation

Comptes Rendus. Mécanique
We present a finite-volume based numerical scheme for a nonlocal Cahn–Hilliard equation which combines ideas from recent numerical schemes for gradient flow equations and nonlocal Cahn–Hilliard equations.
Lyons, Rainey, Muntean, Adrian, Nika, Grigor   +2 more
doaj   +1 more source

A fourth-order linearized difference scheme for the coupled space fractional Ginzburg–Landau equation

Advances in Difference Equations, 2019
In this paper, the coupled space fractional Ginzburg–Landau equations are investigated numerically. A linearized semi-implicit difference scheme is proposed.
Yuan Xu, Jiali Zeng, Shuanggui Hu
doaj   +1 more source

The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry

, 2009
We show that the Ginzburg-Landau expansion of the grand potential for the Bogoliubov-de Gennes Hamiltonian is determined by the integrable nonlinear equations of the AKNS hierarchy, and that this provides the natural mathematical framework for a hidden ...
Ablowitz, Andrianov, Antonyan, Babich, Bar-Sagi, Basar, Basar, Basu, Belokolos, Boehmer, Boehmer, Brazovskii, Brazovskii, Bringoltz, Buchstaber, Burchnall, Buzdin, Buzdin, Campbell, Cooper, Correa, Correa, Correa, Correa, Correa, Correa, Das, Dashen, Davis, de Gennes, Dickey, Dunne, Dunne, Eilbeck, Eilenberger, Enolskii, Faux, Feinberg, Feinberg, Fernandez, Francisco Correa, Gerald V. Dunne, Gesztesy, Gesztesy, Giorgini, Gorkov, Grant, Gross, Heeger, Horovitz, Ince, Jackiw, Kapusta, Klimenko, Klishevich, Kos, Kosztin, Lawden, Lax, Machida, Matveev, Mertsching, Mikhail S. Plyushchay, Neveu, Nickel, Niemi, Parnachev, Peierls, Perelomov, Perelomov, Plyushchay, Shei, Smirnov, Su, Thies, Waxman, Whittaker, Witten   +77 more
core   +1 more source

Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems

Electronic Journal of Differential Equations, 2015
Our aim is to prove the existence and uniqueness of solutions for one-dimensional Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [8].
Ahmad Makki, Alain Miranville
doaj  

Renormalizing Partial Differential Equations

, 1994
In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on several examples of nonlinear parabolic equations.
A. Bressan, A. Gmira, A. Soffer, B. Simon, B.J. Lemesurier, D.G. Aronson, D.H. Sattinger, G.I. Barenblatt, H. Brezis, H. Fujita, H.A. Levine, J-P. Eckmann, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Glimm, J. Miller, J.L.L. Velazquez, J.P. Eckmann, J.W. Cahn, K. Kirchgässner, L-Y. Chen, L.A. Bunimovich, M. Berger, M. Bramson, M. Cross, M. Escobedo, M. Escobedo, M.A. Herrero, M.A. Herrero, M.A. Herrero, N. Goldenfeld, N. Goldenfeld, N. Goldenfeld, P. Collet, P. Collet, P. Collet, R. Pego, S. Filippas, S. Filippas, S. Kamin, S. Kamin, S. Kamin, T. Gallay, T. Gallay, V.A. Galaktionov, Y. Giga, Y. Giga, Y. Giga   +52 more
core   +2 more sources

On self-similar singular solutions of the complex Ginzburg-Landau equation [PDF]

, 2000
Petr Plecháč, Vladimír Šverák
openalex   +1 more source

Chirped Lambert W-kink solitons of the complex cubic-quintic Ginzburg-Landau equation with intrapulse Raman scattering [PDF]

, 2020
Nisha Singh, Neetu Maan, Amit Goyal, Thokala Soloman Raju, C.N. Kumar   +4 more
openalex   +1 more source

Giant vortex states in type I superconductors simulated by Ginzburg-Landau equations

, 2013
The quantization of magnetic flux in superconductors is usually seen as vortices penetrating the sample. While vortices are unstable in bulk type I superconductors, restricting the superconductor causes a variety of vortex structures to appear.
Jäykkä, Juha, Palonen, Heikki, Paturi, Petriina   +2 more
core   +1 more source

Integrable Abelian vortex-like solitons

Physics Letters B, 2017
We propose a modified version of the Ginzburg–Landau energy functional admitting static solitons and determine all the Painlevé-integrable cases of its Bogomolny equations of a given class of models.
Felipe Contatto
doaj   +1 more source

Polynomial Complex Ginzburg-Landau equations in almost periodic spaces [PDF]

, 2022
Agustin Besteiro
openalex   +1 more source