Applications of the differential invariants of infinite dimensional groups in hydrodynamics.

DOI10.1016/S1007-5704(03)00013-3zbMath1036.58033OpenAlexW1984078185MaRDI QIDQ1417826

Sergey V. Golovin

Publication date: 6 January 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(03)00013-3

zbMATH Keywords

Navier-Stokes equationshydrodynamicsBasis of differential invariantsgas dynamic equationsGroup stratificationInvariant differentiation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Gas dynamics (general theory) (76N15) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (10)

Exact solutions of semilinear radial wave equations in \(n\) dimensions ⋮ Lie reduction and exact solutions of vorticity equation on rotating sphere ⋮ Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates ⋮ Invariant parameterization and turbulence modeling on the beta-plane ⋮ Symmetry analysis and exact solutions of semilinear heat flow in multi-dimensions ⋮ On the ineffectiveness of constant rotation in the primitive equations and their symmetry analysis ⋮ A generalized second-order frame bundle for Fréchet manifolds ⋮ Exact solutions of semilinear radial Schrödinger equations by separation of group foliation variables ⋮ Lie symmetry analysis and exact solutions of the quasigeostrophic two-layer problem ⋮ Symmetry preserving parameterization schemes

Cites Work

• Differential invariants and group foliation for the complex Monge-Ampère equation
• Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups
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