Fluid dynamics and the calculus of horizontal variations

DOI10.1016/0020-7225(82)90047-7zbMath0479.76080OpenAlexW1979951559MaRDI QIDQ1162241

Jean Jacques Moreau

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)90047-7

zbMATH Keywords

non-smooth solutionsbarotropicinviscidnonhomogeneouscalculus of horizontal variationscritical points of real functionals on infinite dimensional manifoldsEuler variableslaws of transport for vector or tensor fields and vector or tensor measures

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Variational properties of stationary inviscid incompressible flows with possible abrupt inhomogeneity or free surface ⋮ An expression of classical dynamics

Cites Work

• A variational principle of hydromechanics
• General solution of the dissipation inequality
• Variational principles in continuum mechanics
• A note on Hamilton's principle for perfect fluids
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