Best constants in Korn‐Poincaré's inequalities on a slab

DOI10.1002/mma.1670170704zbMath0801.73014OpenAlexW2043402575MaRDI QIDQ4298310

Hiroya Ito

Publication date: 27 November 1994

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670170704

zbMATH Keywords

quadratic formdivergence-free vector fieldstrace-type inequalities

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Classical linear elasticity (74B05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)

Related Items (6)

Self-similar decay of spatially localized perturbations of the Nusselt solution for the inclined film problem ⋮ Stability of the viscoelastic Rayleigh-Bénard problem with an upper free boundary ⋮ Optimal Korn's inequality for solenoidal vector fields on a periodic slab ⋮ Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems. ⋮ Optimal Korn's inequalities for divergence-free vector fields with application to incompressible linear elastodynamics ⋮ The discrete Korn's type inequality in subspaces and iterative methods for thin elastic structures

Cites Work

• Optimal Korn's inequalities for divergence-free vector fields with application to incompressible linear elastodynamics
• An Analogue of the Spherical Harmonics for the Equations of Elasticity
• Unnamed Item

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