On KS-type equations describing the evolution and rupture of a liquid interface

DOI10.1016/0167-2789(93)90200-KzbMath0787.76092OpenAlexW2062320766MaRDI QIDQ1312516

Tal Hocherman, Philip S. Rosenau

Publication date: 16 May 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90200-k

zbMATH Keywords

bifurcationintegral operatorcylindrical geometrycore annular flowlinearly unstable interface

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction effects in flows (76V05)

Related Items

Symmetries and solutions to the thin film equations, Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition, Reductions of PDEs to second order ODEs and symbolic computation, Equivalence group of a fourth-order evolution equation unifying various nonlinear models, Symmetry properties for a generalised thin film equation, Stability and dynamics of self-similarity in evolution equations, Nonnegative weak solutions of thin-film equations related to viscous flows in cylindrical geometries, Biological Aggregation Driven by Social and Environmental Factors: A Nonlocal Model and Its Degenerate Cahn--Hilliard Approximation, Self-adjoint sub-classes of generalized thin film equations

Cites Work

• The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
• Nonlinear interfacial stability of core-annular film flows
• Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe
• Nonlinear evolution and breaking of interfacial Rayleigh–Taylor waves
• Long Waves on Liquid Films