Symmetry groups of integro-differential equations for linear thermoviscoelastic materials with memory

DOI10.1134/S0021894417040034zbMath1451.74059OpenAlexW2756795270MaRDI QIDQ1743887

Long-Qiao Zhou, Sergey V. Meleshko

Publication date: 16 April 2018

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0021894417040034

zbMATH Keywords

linear thermoviscoelasticity, symmetry groups, partially invariant solutions, integrodifferential equations

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05)

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Spectral methods for solving integro-differential equations and bibiliometric analysis ⋮ Exact solutions of population balance equations for breakage and growth processes, using group analysis

Cites Work

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• Symmetries of integro-differential equations. With applications in mechanics and plasma physics
• Asymptotic stability in linear thermoviscoelasticity
• Regular partially invariant submodels of equations of gas dynamics.
• Exact solutions of population balance equation
• Invariant and partially invariant solutions of integro-differential equations for linear thermoviscoelastic aging materials with memory
• Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

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