Grassmann-valued fluid dynamics

DOI10.1063/1.528277zbMath0676.76003OpenAlexW2062284093MaRDI QIDQ3832188

V. Alan Kostelecký, B. W. Fatyga, D. Rodney Truax

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528277

zbMATH Keywords

Grassmann-valued fluid dynamicsGrassmann-valued partial differential equationLagrangian-coordinates approach

Mathematics Subject Classification ID

Foundations of fluid mechanics (76A02)

Related Items

Simple waves and invariant solutions of quasilinear systems, Supersymmetric version of the Euler system and its invariant solutions, Some indentities for the gradient of the principal invariants, traces and determinants via Grassmann calculus, Invariant solutions of the supersymmetric version of a two-phase fluid flow system, Instanton-like solutions in conformal chiral superfield theories, Equations of fluid mechanics with \(\mathcal{N} = 1\) Schrödinger supersymmetry, N = 2 supersymmetric extension of a hydrodynamic system in Riemann invariants, Superposition formulas for nonlinear superequations, Group invariant solutions for the N=2 super Korteweg–de Vries equation, Computation of Lie supersymmetries for the supersymmetric two bosons equations, GLie: A MAPLE program for Lie supersymmetries of Grassmann-valued differential equations, Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions, Supersymmetric formulation of polytropic gas dynamics and its invariant solutions

Cites Work

• Nonlinear differential equations and Lie superalgebras
• Classes of exactly solvable nonlinear evolution equations for Grassmann variables: The normal form method
• Superspace first-order partial differential equations through the Cartan–Kähler integration theorem
• Baker–Campbell–Hausdorff relations for the orthosymplectic group OSP(1/2)