On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model

DOI10.7494/OpMath.2017.37.5.735zbMath1402.35088OpenAlexW2731307828MaRDI QIDQ4690996

P. Ya. Pukach, V. S. Il'kiv, Myroslava Vovk, Zinovii Mykolaiovych Nytrebych

Publication date: 23 October 2018

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2017.37.5.735

zbMATH Keywords

memorybeam vibrationsfifth-order nonlinear evolutional equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) PDEs in connection with fluid mechanics (35Q35) Vibrations in dynamical problems in solid mechanics (74H45) Nonlinear higher-order PDEs (35G20) Blow-up in context of PDEs (35B44) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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