skip to content

Adiabatic invariance and geometric phase in slowly deforming domains

Tuesday 3rd July 2007 - 17:15 to 17:45
INI Seminar Room 1

We consider the evolution of a 2d perfect fluid as its domain is deformed slowly in a prescribed fashion. Subject to some assumptions, the leading-order Eulerian flow is found to be steady and depend only on the instantaneous form of the boundary; it is thus an adiabatic invariant of the system. Also to leading order, the Lagrangian particle trajectory is found to consist of a dynamical and a geometric component, in the fashion of the Hannay-Berry phase.

Related Links

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons