We present a simple Hamiltonian formulation of the Euler equations for fluid flow in the Lagrangian framework. In contrast to the conventional formulation, which involves coupled partial differential equations, our "innovative'' mathematical formulation involves only ordinary differential equations coupled by integral equations. We illustrate the utility of the new formulation by applying it to a simple stability problem for the atmosphere.
|Number of pages||7|
|Journal||Nieuw archief voor wiskunde|
|Volume||S5, Deel 08|
|Publication status||Published - Jun 2007|