The generalized Burgers equation in viscoanelastic media with memory

DOI10.1016/0378-4371(87)90027-6zbMath0667.73028OpenAlexW2078138014MaRDI QIDQ1117741

Liliana Restuccia, Vincenzo Ciancio

Publication date: 1987

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(87)90027-6

zbMATH Keywords

asymptotic solutiontransport equationnonlinear dissipative wavesfirst perturbation termthermodynamic theory for mechanical relaxation phenomena

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Viscoelastic fluids (76A10) Partial differential equations of mathematical physics and other areas of application (35Q99) Dynamical problems in solid mechanics (74Hxx)

Related Items (5)

Generalizations of Snoek equation for anisotropic media with magnetic relaxation ⋮ Kink solutions of the generalized, super-diffusive Burgers equation with memory ⋮ On the generalized Debye equation for media with dielectric relaxation phenomena described by vectorial internal thermodynamic variables ⋮ Shock waves of viscoelastic Burgers equations ⋮ On a thermodynamic theory for magnetic relaxation phenomena due to \(n\) microscopic phenomena described by \(n\) internal variables

Cites Work

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• Asymptotic waves in anelastic media without momory (Maxwell media)
• Nonlinear dissipative waves in viscoanelastic media
• Ondes asymptotiques non linéaires
• Nonlinear Dispersive or Dissipative Waves in Inhomogeneous Media
• Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
• The partial differential equation u_t + uu_x = μ_xx

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