Estimates for one-dimensional dynamical solutions in nonlinear dielectrics

DOI10.1016/0020-7225(86)90120-5zbMath0581.73111OpenAlexW2053626693MaRDI QIDQ1067870

Robert E. Craine

Publication date: 1986

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(86)90120-5

zbMATH Keywords

initial-boundary value problemenergy functionalHelmholtz free energyGronwall-type inequalitynonlinear dielectricdynamical deformationsestimate for growth in timenumber of physical quantitiesone-dimensional estimates

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Systems of functional equations and inequalities (39B72)

Related Items (2)

A continuous dependence result for one-dimensional nonlinear dielectrics ⋮ On the electrostatics of a rigid, homogeneous and isotropic dielectric

Cites Work

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• A priori estimates for the displacement and velocity vectors in the dynamical theory of linear viscoelasticity
• On the behavior of shock waves in deformable dielectric materials
• One-dimensional acceleration waves in deformable dielectrics with polarization gradients
• Shock waves in deformable dielectrics with polarization gradients
• On the stability of linear continuous systems
• On Movchan's theorems for stability of continuous systems
• Electroacoustic equations for one-domain ferroelectric bodies

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