On Korn's first inequality for tangential or normal boundary conditions with explicit constants

DOI10.1002/mma.3954zbMath1357.35008arXiv1503.07419OpenAlexW269339214MaRDI QIDQ5507193

Dirk Pauly, Sebastian Bauer

Publication date: 16 December 2016

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

Full work available at URL: https://arxiv.org/abs/1503.07419

zbMATH Keywords

Boltzmann equationrarefied gas flowskinetic theory of gasesKorn inequalitytangential and normal boundary conditionsvariational methods including variational inequalities

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Boltzmann equations (35Q20)

Related Items (9)

On Korn's first inequality for mixed tangential and normal boundary conditions on bounded Lipschitz domains in \(\mathbb R^N\) ⋮ On the best constant in Gaffney inequality ⋮ Korn's inequality in anisotropic Sobolev spaces ⋮ Poincaré-Friedrichs type constants for operators involving grad, curl, and div: theory and numerical experiments ⋮ Revisiting the Jones Eigenproblem in Fluid-Structure Interaction ⋮ Friedrichs inequality in irregular domains ⋮ Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy ⋮ Korn's inequality and eigenproblems for the Lamé operator ⋮ Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators

Cites Work

• Unnamed Item
• On Maxwell's and Poincaré's constants
• An elementary proof for a compact imbedding result in generalized electromagnetic theory
• On constants in Maxwell inequalities for bounded and convex domains
• On electric and magnetic problems for vector fields in anisotropic nonhomogeneous media
• A coercive bilinear form for Maxwell's equations
• On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
• Maxwell's boundary value problem on Riemannian manifolds with nonsmooth boundaries
• Time-Harmonic Maxwell Equations in the Exterior of Perfectly Conducting, Irregular Obstacles
• On the Maxwell constants in 3D
• Regularity results for generalized electro-magnetic problems
• On a inequality of Friedrichs.
• Some decomposition theorems and their application to non-linear potential theory and Hodge theory
• On the boundary value problems of electro- and magnetostatics
• Singularities of Maxwell interface problems
• A local compactness theorem for Maxwell's equations
• Randwertaufgaben in der verallgemeinerten Potentialtheorie
• Regularity theorems for Maxwell's equations
• Exterior boundary value problems for elliptic equations
• A remark on a compactness result in electromagnetic theory
• Vector potentials in three-dimensional non-smooth domains
• Maxwell and Lamé eigenvalues on polyhedra
• On a variant of Korn's inequality arising in statistical mechanics

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