Maxwell meets Korn: A New Coercive Inequality for Tensor Fields with Square-Integrable Exterior Derivative

Abstract

Maxwell meets Korn: A New Coercive Inequality for Tensor Fields with Square-Integrable Exterior Derivative

Key Words: Korn's inequality, theory of generalized Maxwell equations, Helmholtz decomposition, Poincare/Friedrichs-type estimates, incompatible tensors

References in corpus (1)

• Hodge-Helmholtz Decompositions of Weighted Sobolev Spaces in Irregular Exterior Domains with Inhomogeneous and Anisotropic Media

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• $L^p$-versions of generalized Korn inequalities for incompatible tensor fields in arbitrary dimensions with $p$-integrable exterior derivative
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• Green's functions for the isotropic planar relaxed micromorphic model -- concentrated force and concentrated couple
• A canonical rate-independent model of geometrically linear isotropic gradient plasticity with isotropic hardening and plastic spin accounting for the Burgers vector
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