On the unboundedness of a solution of the mixed problem for a nonlinear evolution equation at a finite time

DOI10.1007/s11072-012-0164-6zbMath1343.35068OpenAlexW1992219535MaRDI QIDQ275492

P. Ya. Pukach

Publication date: 26 April 2016

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-012-0164-6

zbMATH Keywords

beam oscillationsfifth-order evolution equationsTimoshenko model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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

Cites Work

• Frictional wear of a thermoelastic beam
• Mixed problem for a nonlinear equation of the beam vibrations type in an unbounded domain
• A class of fourth order wave equations with dissipative and nonlinear strain terms
• Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
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• Elastic membrane equation in bounded and unbounded domains
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