Small internal waves in two-fluid systems

DOI10.1007/BF01053459zbMath0681.76103MaRDI QIDQ1823812

Charles J. Amick, Robert E. L. Turner

Publication date: 1989

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

travelling wavesperiodic wavesquasilinear elliptic problemcenter manifold reductioneigenvalue parameterconjugate flowshorizontal boundariesautonomous first order ordinary differential equationheterogeneous, inviscid, non-diffusive fluid

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Internal waves for incompressible inviscid fluids (76B55) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (18)

Orbital stability of internal waves ⋮ Steady water waves ⋮ Global bifurcation theory for periodic traveling interfacial gravity-capillary waves ⋮ Center manifolds in equations from hydrodynamics ⋮ Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics ⋮ Traveling water waves — the ebb and flow of two centuries ⋮ Uniformly travelling water waves from a dynamical systems viewpoint: some insights into bifurcations from Stokes’ family ⋮ Long periodic internal waves ⋮ Geometric Aspects of Spatially Periodic Interfacial Waves ⋮ Stratified periodic water waves with singular density gradients ⋮ Existence and qualitative theory for stratified solitary water waves ⋮ Internal gravity–capillary solitary waves in finite depth ⋮ Equivariant cosymmetry and front solutions of the Dubreil-Jacotin-Long equation. I: Boussinesq limit. ⋮ Large-amplitude internal fronts in two-fluid systems ⋮ On the existence of small amplitude solitary waves with strong surface tension ⋮ Stability of solitary waves in dispersive media described by a fifth- order evolution equation ⋮ On the Theory of Internal Waves of Permanent Form in Fluids of Great Depth ⋮ Solitary waves in media with dispersion and dissipation. (A review)

Cites Work

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• Broadening of interfacial solitary waves
• Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation
• Internal waves of finite amplitude and permanent form
• A unified theory of conjugate flows

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