Evolutionary problems of nonlinear magnetoelasticity

DOI10.1134/S0037446620010048zbMath1440.74139OpenAlexW3007706298MaRDI QIDQ2191339

Viatcheslav Priimenko, Mikhail P. Vishnevskii

Publication date: 24 June 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446620010048

zbMATH Keywords

existence and uniqueness theoremsmixed problemnonlinear magnetoelastic effect

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Electromagnetic effects in solid mechanics (74F15) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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• Direct problem for a nonlinear evolutionary system
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• On the propagation of waves in an electro-magnetic elastic solid
• The first initial-boundary-value problem for a nonlinear model of the electrodynamics of vibrating elastic media
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Structure of the set of stationary solutions of the navier‐stokes equations
• Lifting functors to Eilenberg-Moore category of monad generated by functor CpCp

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