Existence and uniqueness of global weak solutions to the equations describing the longitudinal oscillations of a viscoelastoplastic Ishlinskii material

DOI10.1134/S1064562406050012zbMath1388.74022MaRDI QIDQ2477482

I. A. Goshev, Andrey A. Amosov

Publication date: 13 March 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Linear constitutive equations for materials with memory (74D05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Differential models of hysteresis
• Hysteresis and phase transitions
• Homogenization of scalar wave equations with hysteresis
• The existence of global generalized solutions of the equations of one-dimensional motion of a real viscous gas with discontinuous data

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