Well-posedness of surface wave equations above a viscoelastic fluid

DOI10.1007/s00021-010-0029-7zbMath1270.35368OpenAlexW2023949420MaRDI QIDQ361146

Hervé V. J. Le Meur

Publication date: 28 August 2013

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-010-0029-7

zbMATH Keywords

well-posednessviscoelastic fluidfree boundary

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10)

Related Items

Local well-posedness of free-boundary incompressible elastodynamics with surface tension via vanishing viscosity limit ⋮ Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids ⋮ Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension ⋮ Global solvability of a free boundary three-dimensional incompressible viscoelastic fluid system with surface tension ⋮ Stability of the viscoelastic Rayleigh-Taylor problem with internal surface tension ⋮ Uniqueness and stability results for non-linear Johnson-Segalman viscoelasticity and related models ⋮ On stabilizing effect of elasticity in the Rayleigh-Taylor problem of stratified viscoelastic fluids ⋮ A NEW MODEL FOR SHALLOW VISCOELASTIC FLUIDS ⋮ Splash singularity for a free-boundary incompressible viscoelastic fluid model ⋮ Splash singularities for a general Oldroyd model with finite Weissenberg number ⋮ Stabilizing effect of elasticity on the motion of viscoelastic/elastic fluids ⋮ Instability of the abstract Rayleigh–Taylor problem and applications ⋮ On effect of surface tension in the Rayleigh-Taylor problem of stratified viscoelastic fluids

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