Stabilization of solutions of twodimensional equations of dynamics of an ideal liquid
Abstract
Problems of solvability of initial and boundaryvalue problems for two dimensional nonstationary Euler equations of dynamics of an ideal liquid are considered with attention to sufficient conditions under which the solutions of twodimensional Euler equations as t approaches infinity tend to a potential flow. The existence of a generalized solution of the initialvalue formulation of this latter problem is proved. Asymptotic properties of the trajectories are explained, and theorems of settling and asymptotic stability of a potential flow are reported.
 Publication:

PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
 Pub Date:
 October 1977
 Bibcode:
 1977PMTF...18...85A
 Keywords:

 Boundary Value Problems;
 Euler Equations Of Motion;
 Flow Stability;
 Ideal Fluids;
 Liquid Flow;
 Two Dimensional Flow;
 Asymptotic Methods;
 Existence Theorems;
 NavierStokes Equation;
 Potential Flow;
 Trajectory Analysis;
 Fluid Mechanics and Heat Transfer