Splash singularities for a 2D Oldroyd-B model with nonlinear Piola-Kirchhoff stress

DOI10.1007/S00030-017-0483-5zbMath1383.35159OpenAlexW2761921209WikidataQ58619701 ScholiaQ58619701MaRDI QIDQ1693398

Pierangelo Marcati, Stefano Spirito, Elena Di Iorio

Publication date: 31 January 2018

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-017-0483-5

zbMATH Keywords

viscoelasticityexistence and stabilitysplash singularityOldroyd-B

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Viscoelastic fluids (76A10) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (4)

Splash singularities for a 2D Oldroyd-B model with nonlinear Piola-Kirchhoff stress ⋮ Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension ⋮ Splash singularity for a free-boundary incompressible viscoelastic fluid model ⋮ Splash singularities for a general Oldroyd model with finite Weissenberg number

Cites Work

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• Finite time singularities for the free boundary incompressible Euler equations
• On the finite-time splash and splat singularities for the 3-D free-surface Euler equations
• Global solutions for incompressible viscoelastic fluids
• On the high Weissenberg number problem
• Splash singularities for a 2D Oldroyd-B model with nonlinear Piola-Kirchhoff stress
• Splash singularities for the free boundary Navier-Stokes equations
• The initial value problem for the navier-stokes equations with a free surface
• On hydrodynamics of viscoelastic fluids
• An Eulerian description of fluids containing viscoelastic particles

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