Lie transformation group solutions of nonlinear equations describing viscoelastic materials

DOI10.1016/S0020-7225(97)00015-3zbMath0902.73035WikidataQ115340596 ScholiaQ115340596MaRDI QIDQ1388314

V. D. Sharma, J. Jena

Publication date: 11 June 1998

Published in: International Journal of Engineering Science (Search for Journal in Brave)

zbMATH Keywords

self-similar solutionsbalance equationsinfinitesimal point transformationLie group invariance

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (5)

Self-similar solutions in a plasma with axial magnetic field (\(\theta\)-pinch) ⋮ Lie group of transformations to study anisotropic diffusion of scalar images ⋮ Similarity solutions for three-dimensional Euler equations using Lie group analysis ⋮ Group theoretic method for analyzing interaction of a weak discontinuity wave with a bore in shallow water waves ⋮ Application of Lie groups to compressible model of two-phase flows

Cites Work

• Unnamed Item
• Similarity methods for differential equations
• Similarity solutions and model constitutive laws to viscoelasticity with application to nonlinear wave propagation
• Group analysis approach for a binary reacting mixture
• Similarity solutions for converging shocks in a relaxing gas
• Group analysis for a linear hyperbolic equation arising from a quasilinear reducible system
• Nonlinear partial differential equations in engineering. Vol. II
• Similarity Solutions for Reactive Shock Hydrodynamics
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries

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