An expression of classical dynamics

DOI10.1016/S0294-1449(17)30022-7zbMath0677.73004OpenAlexW2284135147MaRDI QIDQ1123669

No author found.

Publication date: 1989

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1989__S6__1_0

zbMATH Keywords

windowmeasure differential equationsnon-smooth dynamicsdifferential operator equilibriumEuler variable viewpointfour-dimensional vector distribution divergence of kinetic tensor measureGalilean time-spaceRiemannian manifold setting of analytical dynamicssubset of space-timesymmetric tensor measuretransport by test flows

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Hamilton's principle (70H25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Nonstandard functional analysis (46S20) Vector distributions (subbundles of the tangent bundles) (58A30) Nonstandard measure theory (28E05) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Related Items (1)

Some results on optimal control with unilateral state constraints

Cites Work

• Differential systems involving impulses
• Uniqueness in the elastic bounce problem
• Variational properties of stationary inviscid incompressible flows with possible abrupt inhomogeneity or free surface
• Fluid dynamics and the calculus of horizontal variations
• On the approximation of the elastic bounce problem on Riemannian manifolds
• A class of nonlinear differential equations of second order in time
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