Fluid dynamics and the calculus of horizontal variations

Jean Jacques Moreau (1)

1 Université des Sciences et Techniques du Languedoc

A horizontal variation is a shîft dcfined in the (1, r,) space or in the (x,} space by a smooth vector field 'P The corresponding laws of transport for vector or tensor fields and for vector or tensor measures are investigated This is used to characterize the (possibly non-smooth) solutions of the dynamical equations of a nonhomogeneous compressible barotropic inviscid fluid, in Euler variables, as the critical points of some real functionals on infinite dimensional manifolds

Domaines: Mathématiques [math]; Mécanique des fluides [physics.class-ph]

Jean Jacques Moreau. Fluid dynamics and the calculus of horizontal variations. International Journal of Engineering Science, 1982, 20 (3), pp.389 - 411. ⟨10.1016/0020-7225(82)90047-7⟩. ⟨hal-01788628⟩