Journal of applied mathematics & informatics

  • 제5권2호
  • /
  • Pages.457-464
  • /
  • 1998
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

A VARIATIONAL APPROACH TO THE DETERMINATION OF DOMAIN FOR EULER FLOWS WITH CONSTANT VORTICITY

  • Kim, Sun-Chul (Department of Mathematics, Chung-Ang University)
  • 발행 : 1998.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

An alternative variational method for a steady tow-dimensional inviscid flow problem to determine the domain given the constant wall velocity and constant vorticity in the whole domain is presented. The uniqueness result is obtained for convex domains.

키워드

참고문헌

  1. International Mathematical Congress Uber flussigkeitsbewegung bei sehr kleiner reibung L.Prandtl
  2. J. Fluid Mech. v.1 On steady laminar flow with closed streamlines at large Reynolds number G.K.Batchelor
  3. SIAM Journal on Applied Mathematics On Prandtl-Batchelor Theory of a Cylindrical Eddy: Existence Results S.C.Kim
  4. Applied Mathematics Letters A free-boundary problem for Euler flows with constant vorticity S.C.Kim
  5. J. Fluid Mech. v.143 Prandtl-Batchelor flow past a flat plate with a forward-facing flap P.G.Saffman;S.Tanveer
  6. Phys. Fluids v.31 no.5 The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow D.W.Moore;P.G.Saffman;S.Tanveer
  7. Partial Differential Equations(Second edition) P.R.Garabedian
  8. Studies in mathematical analysis and related topics Proof of uniqueness by symmetrization P.R.Garabedian
  9. Isoperimetric inequalities of Mathematical Physics G.Polya;Szego