Traveling waves on fluid interfaces: Normal form analysis of the Kuramoto–Sivashinsky equation
From MaRDI portal
Publication:3738762
DOI10.1063/1.865965zbMath0602.76043OpenAlexW2025647789MaRDI QIDQ3738762
Publication date: 1986
Published in: The Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.865965
Kuramoto-Sivashinsky equationcorrelationsinterfacial instabilitiesnormal form analysisTraveling wave solutionsfinite waves on vertically falling filmsnonlinear dynamic theory
Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Multiphase and multicomponent flows (76T99) Partial differential equations of mathematical physics and other areas of application (35Q99) Waves for incompressible viscous fluids (76D33)
Related Items
Dynamics of conservative Bykov cycles: tangencies, generalized Cocoon bifurcations and elliptic solutions, On localization solutions of an equation governing Benard--Marangoni convection, Interactions of coherent structures in a film flow: Simulations of a highly nonlinear evolution equation, A thin conducting viscous film on an inclined plane in the presence of a uniform normal electric field: Bifurcation scenarios, Spatial evolution of a film flowing down a fiber, On traveling-wave solutions of the Kuramoto-Sivashinsky equation, Drop formation during coating of vertical fibres, Long waves at the interface between two viscous fluids, Traveling waves on vertical films: Numerical analysis using the finite element method, Nonlinear evolution of small disturbances into roll waves in an inclined open channel, A generalized sideband stability theory via center manifold projection, Super convergence analysis of fully discrete Hermite splines to simulate wave behaviour of Kuramoto-Sivashinsky equation, Stability of solution of Kuramoto-Sivashinsky-Korteweg-de Vries system, Interaction dynamics of solitary waves on a falling film, Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations, Preserving dissipation in approximate inertial forms for the Kuramoto- Sivashinsky equation, The non-existence of a certain class of travelling wave solutions of the Kuramoto-Sivashinsky equation, Modeling of stationary waves on a thin viscous film down an inclined plane at high Reynolds numbers and moderate Weber numbers using energy integral method, Onset of nonlinear waves on falling films, Nonlinear evolution and breaking of interfacial Rayleigh–Taylor waves, Dynamics of a thin viscoelastic film on an inclined plane, Cycle expansions: from maps to turbulence, Travelling wave solutions of the Kuramoto-Sivashinsky equation, Nonlinear evolution of waves on falling films at high Reynolds numbers, Laminarizing effects of dispersion in an active-dissipative nonlinear medium, Organization of spatially periodic solutions of the steady Kuramoto-Sivashinsky equation, Travelling waves exhibiting spatio-temporal chaos on the surface of a vertically falling thin film, Stationary waves on an inclined sheet of viscous fluid at high Reynolds and moderate Weber numbers, The steady states of the Kuramoto-Sivashinsky equation, THE OSEBERG TRANSITION: VISUALIZATION OF GLOBAL BIFURCATIONS FOR THE KURAMOTO–SIVASHINSKY EQUATION, Study of waves on thin liquid films sheared by turbulent gas flows, Local birth of homoclinic chaos
Cites Work