Outwards pointing hysteresis operators and asymptotic behaviour of evolution equations.

DOI10.1016/S1468-1218(03)00013-0zbMath1043.47047MaRDI QIDQ1412222

Olaf Klein, Pavel Krejči

Publication date: 10 November 2003

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviourhysteresis operatorsvisco-elasto-plasticity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Strings (74K05) Problems involving hysteresis in solids (74N30) Hysteresis for ordinary differential equations (34C55) Equations with nonlinear hysteresis operators (47J40)

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Cites Work

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• Homogenization of scalar wave equations with hysteresis
• Existence and Optimal Control of Mechanical Processes with Hysteresis in Viscous Solids
• On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
• Asymptotic behaviour for a phase-field system with hysteresis

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