Results 81 to 90 of about 1,304,743 (172)

Cauchy problem for the complex Ginzburg-Landau type Equation with $L^{p}$-initial data [PDF]

open access: yes, 2014
summary:This paper gives the local existence of mild solutions to the Cauchy problem for the complex Ginzburg-Landau type equation $$ \dfrac {\partial u}{\partial t} -(\lambda +{\rm i} \alpha )\Delta u +(\kappa +{\rm i} \beta )|u|^{q-1}u-\gamma u=0 $$ in
Shimotsuma, Daisuke   +2 more
core   +1 more source

Numerical studies of superfluids and superconductors [PDF]

open access: yes, 2001
In this thesis we demonstrate the power of the Gross-Pitaevskii and the time-dependent Ginzburg-Landau equations by numerically solving them for various fundamental problems related to superfluidity and superconductivity.
Winiecki, Thomas, Winiecki, T.
core  

Stability of Moving Fronts in the Ginzburg-landau Equation

open access: yes, 1994
We use Renormalization Group ideas to study stability of moving fronts in the Ginzburg-Landau equation in one spatial dimension. In particular, we prove stability of the real fronts under complex perturbations.
Kupiainen, Antti, Bricmont, Jean
core   +1 more source

Nonequilibrium dynamics in the complex Ginzburg-Landau equation [PDF]

open access: yes, 2001
Results from a comprehensive analytical and numerical study of nonequilibrium dynamics in the two-dimensional complex Ginzburg-Landau equation have been presented. In particular, spiral defects have been used to characterize the domain growth law and the
Cross, M. C.   +2 more
core   +1 more source

Non - Perturbative Solution of the Ginzburg - Landau Equation

open access: yes, 2000
The Ginzburg—Landau equation is solved by decomposition ...
N. BİLDİK, M. İNÇ
core   +1 more source

The interaction of free Rossby waves with semi-transparent equatorial waveguide – wave-mean flow interaction [PDF]

open access: yesNonlinear Processes in Geophysics, 2009
Nonlinear interactions of the barotropic Rossby waves propagating across the equator with trapped baroclinic Rossby or Yanai modes and mean zonal flow are studied within the two-layer model of the atmosphere, or the ocean. It is shown that the equatorial
G. M. Reznik, V. Zeitlin
doaj  

On the validity of the degenerate Ginzburg-Landau equation [PDF]

open access: yes, 1996
The Ginzburg{Landau equation which describes nonlinear modulation of the amplitude of the basic pattern does not give a good approximation when the Landau constant (which describes the in uence of the nonlinearity) is small.
Shepeleva, A.
core   +1 more source

Approximate solutions of the two-component Ginzburg-Landau equation

open access: yes, 1990
We present an approximate solution of the two-component Ginzburg-Landau equation for a broad class of initial conditions. Our method of solution is based on a novel singular perturbation expansion.
Puri, Sanjay, Roland, Christopher
core   +1 more source

A logarithmic extension of the Hölder inequality

open access: yesJournal of Inequalities and Applications, 1999
We prove a logarithmic extension of the Höllder inequality, motivated by an application to the complex Ginzburg–Landau equation.
Velo G, Ginibre J
doaj  

Home - About - Disclaimer - Privacy