On the existence, uniqueness and regularity of the exterior stokes problem in R3
Georges H. Guirguis · Communications in Partial Differential Equations · 1986
Conditions, under which a solution exls-ts, and 1s, unique for the statlonarp ftofces, pattern in exterior domains, in R3are dlscussed. The domains, constdered are the complements. In R3 of lounded star shaped-sets and the class of functions, for which existence ta. dlsplayed have "physically reasonable" lehavlor at infinity. 7hls class is. characterized ly, a finite Dieichlet intearal. We use a method that employs, a variational formulation of the p-rollem and avoids, the use of a Helmhoetz decomposltlon of vector fields in unlounded domains