On abstract grad-div systems

DOI10.1016/J.JDE.2015.11.033zbMath1353.35119arXiv1504.02456OpenAlexW2191340743MaRDI QIDQ907789

Stefan Seidler, Marcus Waurick, Rainer Picard, Sascha Trostorff

Publication date: 26 January 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02456

zbMATH Keywords

evolutionary equationsdynamic boundary conditionsGelfand triplesLeontovich boundary conditionGuyer-Krumhansl heat conduction

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Applications of functional analysis to differential and integral equations (46N20) Boundary value problems for systems of linear first-order PDEs (35F45)

Related Items (7)

On the homogenization of partial integro-differential-algebraic equations ⋮ On well-posedness for a piezo-electromagnetic coupling model with boundary dynamics ⋮ The Dirichlet-to-Neumann operator for divergence form problems ⋮ On maximal regularity for a class of evolutionary equations ⋮ On an elasto-acoustic transmission problem in anisotropic, inhomogeneous media ⋮ Well-posed variational formulations of Friedrichs-type systems ⋮ On a Hilbert space framework for evolutionary systems of classical mathematical physics: a survey

Cites Work

• Unnamed Item
• Unnamed Item
• An alternative approach to well-posedness of a class of differential inclusions in Hilbert spaces
• A characterization of boundary conditions yielding maximal monotone operators
• Partial differential equations. A unified Hilbert space approach
• A new family of first-order boundary conditions for the Maxwell system: Derivation, well-posedness and long-time behavior
• Electromagnetic waves in a three-dimensional half space with a dissipative boundary
• On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
• A Hilbert space perspective on ordinary differential equations with memory term
• Fast convolution quadrature based impedance boundary conditions
• On non-autonomous evolutionary problems
• Well-posedness of non-autonomous evolutionary inclusions
• A Note on a Class of Conservative, Well-Posed Linear Control Systems
• Maxwell's Equations as a Scattering Passive Linear System
• A structural observation for linear material laws in classical mathematical physics
• On some models for elastic solids with micro‐structure
• On evolutionary equations with material laws containing fractional integrals
• On non‐autonomous integro‐differential‐algebraic evolutionary problems
• On integro‐differential inclusions with operator‐valued kernels
• On a class of boundary control problems
• Homogenization in Fractional Elasticity

This page was built for publication: On abstract grad-div systems