抄録
Two-dimensional non-stationary flows of an incompressible inviscid fluid are discussed in a smooth exterior domain. A relationship between the occurrence of d′Alembert′s paradox and the integrability properties of pressure is established. Moreover, existence is established for flows with rotational symmetry that involve d′Alembert′s paradox. The symmetry is described in terms of cyclic and dihedral groups. Explicit decay rates at spatial infinity are deduced for symmetric solutions mentioned above, by assuming that the initial vorticities have bounded support.
