Weak and Young Measure Solutions for Hyperbolic Initial Boundary Value Problems of Elastodynamics in the Orlicz--Sobolev Space Setting

DOI10.1137/15M1016138zbMath1338.35302MaRDI QIDQ2798650

Nguyêñ Hôǹg Thái, Dariusz Pączka

Publication date: 13 April 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

nonlinear elastodynamicsnonlinear viscoelasticitynonconvex energyconvex energynonstandard growth nonlinearity

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear elasticity (74B20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Nonlinear constitutive equations for materials with memory (74D10) Spaces of measures, convergence of measures (28A33) Weak solutions to PDEs (35D30) Existence of solutions of dynamical problems in solid mechanics (74H20) Second-order quasilinear hyperbolic equations (35L72)

Related Items (5)

A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ On steady flow of non-Newtonian fluids with frictional boundary conditions in reflexive Orlicz spaces ⋮ Frictional Contact Problems for Steady Flow of Incompressible Fluids in Orlicz Spaces ⋮ Effective energy integral functionalsfor thin films on curl-free vector fields in the Orlicz–Sobolev space setting ⋮ Newton's second law with a semiconvex potential

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