Approximate analysis of a nonlinear dissipative model

DOI10.1007/s10440-014-9924-xzbMath1305.35139OpenAlexW2104632089MaRDI QIDQ404891

Maria Paola Speciale, Marianna Ruggieri

Publication date: 4 September 2014

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-014-9924-x

zbMATH Keywords

approximate symmetriesnonlocal transformationviscoelastic media

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10) Geometric theory, characteristics, transformations in context of PDEs (35A30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

Lie group analysis of a wave equation with a small nonlinear dissipation ⋮ A new comparison principle for impulsive functional differential equations ⋮ The local well-posedness of solutions for a nonlinear pseudo-parabolic equation ⋮ Approximate symmetries in viscoelasticity ⋮ Existence of solutions for a second order boundary value problem with the Clarke subdifferential ⋮ Existence results for a class of coupled Hilfer fractional pantograph differential equations with nonlocal integral boundary value conditions ⋮ Fuzzy conformable fractional semigroups of operators ⋮ Exact and numerical solutions of time-fractional advection-diffusion equation with a nonlinear source term by means of the Lie symmetries ⋮ Complexiton solutions for complex KdV equation by optimal Homotopy Asymptotic Method

Cites Work

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• Equivalence transformations of quasilinear first order systems and reduction to autonomous and homogeneous form
• Kink solutions for a class of generalized dissipative equations
• Approximate symmetries in nonlinear viscoelastic media
• Lie symmetries of differential equations: classical results and recent contributions
• The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
• Symmetries and reduction techniques for dissipative models
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Exact solutions for a nonlinear model of dissipative media
• Reduction of balance laws to conservation laws by means of equivalence transformations
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