In this paper, we consider the planar vortex patch problem in an incompressible steady flow in a bounded domain Omega of R-2. Let k be a positive integer and let k(j) be a positive constant, j = 1,..., k. For any given non-degenerate critical point x(0) = (x0,1,..., x(0,k)) of the Kirchhoff-Routh function defined on Omega(k) corresponding to (k1,..., k(k)), we prove the existence of a planar flow, such that the vorticity w of this flow equals a large given positive constant lambda in each small neighborhood of x(0, j), j = 1,..., k, and w = 0 elsewhere. Moreover, as lambda -> +infinity, the vo...
