Asymptotics of solutions to jou kovskii—kutta-type problems at infinity

Abstract

We investigate the behavior at infinity of solutions to Joukovskii—Kutta—type problems, arising in the linearized lifting surface theory. In these problems one looks for the perturbation velocity potential induced by the presence of a wing in a basic flow within the scope of a linearized theory and for the wing circulation. We consider at first the pure two dimensional case, then the three—dimensional case, and finally we show in the case of a ime—harmonically oscillating wing in in a weakly damping gas the exponential decay of solutions of the Joukovskii—Kutta problem.

Keywords:

• Airfoil theory
• Joukovskii—Kutta condition
• Laplace equation
• Helmholtz equation
• asymptotic farfield behavior

AMS:

• 76B05
• 35J05
• 35B40