Deformation of coherent structures

E.R. Fledderus, E. van Groesen

    Research output: Contribution to journalArticleAcademicpeer-review

    6 Citations (Scopus)
    129 Downloads (Pure)


    In this review we investigate the mathematical description of the distortion of clearly recognisable structures in phenomenological physics. The coherent structures we will explicitly deal with are surface waves on a layer of fluid, kink transitions in magnetic material, plane vortices, swirling flows in cylindrical pipes and periodic patterns in pattern formation equations. The deformation of such structures will be studied for perturbations of different kinds. Problems with dissipation as a perturbation include the decay of surface waves under the influence of uniform damping and viscosity, and the viscous decay of vortices along branches that connect to a Leith vortex. Inhomogeneity as a perturbative effect will be studied for waves above slowly varying topography, for the particle description of kinks in inhomogeneous magnetic materials and for swirling flows in slowly expanding pipes. Finally, slow variations in pattern formation equations will result in phase-diffusion or amplitude equations.
    Original languageEnglish
    Pages (from-to)511-600
    Number of pages90
    JournalReports on progress in physics
    Issue number4
    Publication statusPublished - 1996


    Dive into the research topics of 'Deformation of coherent structures'. Together they form a unique fingerprint.

    Cite this