Nonlinear stability of steady constantvorticity solutions of the plane Euler equation
Abstract
It is shown that steady solutions with constant vorticity in plane Euler equation are stable. These solutions are relevant because they are the natural limit of laminar flow when viscosity approaches zero. Moreover, in the case of a shear flow this result ensures stability in the case in which Rayleigh's theorem does not hold.
 Publication:

Nuovo Cimento B Serie
 Pub Date:
 November 1983
 DOI:
 10.1007/BF02721377
 Bibcode:
 1983NCimB..78....1P
 Keywords:

 Euler Equations Of Motion;
 Flow Stability;
 Laminar Flow;
 Numerical Stability;
 Two Dimensional Flow;
 Vorticity Equations;
 Inviscid Flow;
 Nonlinear Evolution Equations;
 Shear Flow;
 Steady Flow;
 Fluid Mechanics and Heat Transfer