The asymptotic analysis of nonlinear waves in magneto-thermoelastic solids with thermal relaxation

DOI10.1007/BF00945052zbMath0644.73011MaRDI QIDQ1102773

Antonino Valenti

Publication date: 1988

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

asymptotic analysisnonlinear wave processesBurgers like equationthird order transport equationhighly conductive heat materialshighly non-conductive heat materialsmagneto- thermoelastic modelone-dimensional deformation

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Electromagnetic effects in solid mechanics (74F15) Heat equation (35K05) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (2)

One-dimensional bulk waves in a nonlinear magnetoelastic conductor of finite electric conductivity ⋮ Global solutions in one-dimensional magneto-thermoviscoelasticity

Cites Work

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• Wave features related to a mathematical model describing pulse transmission in a nerve fibre
• Some comments on wave motions described by non-homogeneous quasilinear first order hyperbolic systems
• The Burgers' equation in magneto-thermo-elasticity with one-dimensional deformation
• Ondes asymptotiques non linéaires
• Theory of non-linear wave propagation with application to the interaction and inverse problems
• A generalized dynamical theory of thermoelasticity
• High frequency, periodic disturbances in dissipative systems - I. Small amplitude, finite rate theory
• Electromagneto-Thermoelastic Plane Waves in Solids With Thermal Relaxation

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