𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability of plane wave solutions for the Ginzburg-Landau-BBM equations (II)

✍ Scribed by Murong Jiang


Book ID
108485365
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
193 KB
Volume
4
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the nonlinear stability of plane wave
✍ Todd Kapitula πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 406 KB πŸ‘ 1 views

1 consider the nonlinear stability of plane wave solutions to a Ginzburg-Landau equation with additional fifth-order terms and cubic terms containing spatial derivatives. 1 show that, under the constraint that the diffusion coefficient be real, these waves are stable. Furthermore, it is shown that t

Bifurcations of plane wave (CW) solution
✍ Stefan C. Mancas; S.Roy Choudhury πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 293 KB

Singularity Theory is used to comprehensively investigate the bifurcations of the steady states of the traveling wave ODEs of the cubic-quintic Ginzburg-Landau equation (CGLE). These correspond to plane waves of the PDE. In addition to the most general situation, we also derive the degeneracy condit

Lines of vortices for solutions of the G
✍ Hassen Aydi πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 255 KB

For disc domains and for periodic models, we construct solutions of the Ginzburg-Landau equations which verify in the limit of a large Ginzburg-Landau parameter specified qualitative properties: the limit density of the vortices concentrates on lines.