Variational principle and canonical variables in hydrodynamics with discontinuities

DOI10.1016/S0167-2789(01)00186-5zbMath0986.76071MaRDI QIDQ5940225

A. V. Kats

Publication date: 11 June 2002

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

variational principlesideal fluidcanonical variablesdiscontinuitiesshocks

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Shock waves and blast waves in fluid mechanics (76L05) Variational methods applied to problems in fluid mechanics (76M30)

Related Items (2)

Modelling discontinuities and Kelvin-Helmholtz instabilities in SPH ⋮ Smoothed particle hydrodynamics and magnetohydrodynamics

Cites Work

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• Group-theoretical approach to the ideal fluid problem
• Variational principles for perfect gas flows with strong discontinuities expressed in Euler variables
• Physical mechanisms for sporadic wind wave horse-shoe patterns
• Bifurcation of liquid drops
• Hamiltonian formulation of inviscid flows with free boundaries
• On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows
• On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 1. Fundamental principles

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