One of the major problems in the study of evolution equations of mathematical physics is the
investigation of the behaviour of the solutions to these equations when time is large or tends …

In this paper we consider the three–dimensional Navier–Stokes equations subject to
periodic boundary conditions or in the whole space. We provide sufficient conditions, in …

Rotating Rayleigh–Bénard convection (RRBC) is a laboratory realization of the combined
influence of thermal buoyancy and the rotational Coriolis force. This combination appears in …

In this survey the method of trajectory dynamical systems and trajectory attractors is
described, and is applied in the study of the limiting asymptotic behaviour of solutions of non …

We continue the study of the initial value problem for the complex Ginzburg—Landau
equation (with a> 0, b> 0, g≥ 0) in initiated in a previous paper [I]. We treat the case where …

Abstract The fractional complex Ginzburg–Landau equation plays an important role in the
field of optics, field theory and superconductivity. In this paper, two variable G′ G, 1 G …

We study the initial-value problem for the generalized complex Ginzburg-Landau equation∂
tu= γu=(a+ iα) Δu−(b+ iß) ug (| u| 2),(with a> 0, b> 0, g≥ 0) in R n for arbitrary n. We treat in …

The asymmetric method is employed to derive the soliton solution for the Ginzburg–Landau
complex equation with higher-order dispersion and nonlinear gradient terms. The bright …

The generalized complex Ginzburg-Landau (CGL) equation describes the evolution of a
complex-valued field u= u (x, t) by dru= Ru+(1+ iν) Δυ–(1+ ίμ)/4/20κ. It has a long history in …

Abstract Space and time approximations for two-dimensional space fractional complex
Ginzburg–Landau equation are examined. The schemes under consideration are discreted …