Isovector fields for problems in the mechanics of solids and fluids

DOI10.1016/0020-7225(82)90002-7zbMath0503.76003OpenAlexW1989405695MaRDI QIDQ1173453

Dominic G. B. Edelen

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0020-7225(82)90002-7

zbMATH Keywords

symmetriessimilarity lawsisovector fieldLie-Bäcklund transformationslaws of balance-balancing sources and sinksLie groups determining conservation lawsreduction in dimensions of space

Mathematics Subject Classification ID

Foundations of fluid mechanics (76A02) Dynamical systems and ergodic theory (37-XX) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Related Items (12)

Conservation laws for 3-dimensional compressible Euler equations ⋮ Bogus transformations in mechanics of continua ⋮ Conservation laws in anisotropic elastostatics ⋮ On solving problems in the mechanics of solids and fluids by a generalized method of characteristics ⋮ Symmetry transformations, isovectors, and conservation laws ⋮ On isovector fields and similarity solutions of generalized dynamic thermoelasticity ⋮ Symmetry groups and group-invariant solutions of 3D non-linear thermoelasticity ⋮ On the isovectors of a class of nonlinear diffusion equations ⋮ Order-independent method of characteristics ⋮ On the isogroups of the generalised diffusion equation ⋮ Isovector fields and self-similar solutions for power law creep ⋮ A note on the isovector of rate-type materials

Uses Software

• REDUCE

Cites Work

• Convection in a porous layer
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
• Unnamed Item

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