Well-posedness viaMonotonicity – an Overview

DOI10.1007/978-3-319-18494-4_25zbMath1334.35015OpenAlexW1732148871MaRDI QIDQ2801702

Rainer Picard, Marcus Waurick, Sascha Trostorff

Publication date: 21 April 2016

Published in: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18494-4_25

zbMATH Keywords

monotonicitypositive definitenesscoupled systemsmultiphysicsmaterial laws

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Classical linear elasticity (74B05) Homogenization in equilibrium problems of solid mechanics (74Q05) Weak solutions to PDEs (35D30) Initial value problems for nonlinear first-order PDEs (35F25) PDEs in connection with mechanics of deformable solids (35Q74) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Homogenization in optics and electromagnetic theory (78M40) Maxwell equations (35Q61) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Initial-boundary value problems for linear first-order PDEs (35F16) Initial-boundary value problems for systems of nonlinear first-order PDEs (35F61)

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