A comparison of conservation law construction approaches for the two-dimensional incompressible Mooney-Rivlin hyperelasticity model

DOI10.1063/1.4937756zbMath1332.35015OpenAlexW2259333590MaRDI QIDQ3463233

Alexei F. Cheviakov, S. Saint-Jean

Publication date: 12 January 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9e99d26e5d70874254a8ffde8dc7d3bc67cf3e9f

zbMATH Keywords

extended Kovalevskaya formlocal symmetry analysisNoether's first problem

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Nonlinear higher-order PDEs (35G20) Cauchy-Kovalevskaya theorems (35A10) PDEs in connection with mechanics of deformable solids (35Q74) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items

A recursion formula for the construction of local conservation laws of differential equations, Invariant conservation law-preserving discretizations of linear and nonlinear wave equations

Uses Software

• GeM

Cites Work

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