A. Sellier, AN INTEGRAL METHOD TO DERIVE THIN-AIRFOIL THEORY, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 322(11), 1996, pp. 809-815
A formal thin-airfoil theory is built that can apply to any order. The
proposed method consists in asymptotically solving a system of singul
ar and integral equations where the unknown quantities are distributio
ns of sources and vortices to be spread over the exact boundary of the
airfoil.