The Leray problem for 2D inhomogeneous fluids
Volume 70 / 2005
Banach Center Publications 70 (2005), 51-59
MSC: 35Q30, 76D05.
DOI: 10.4064/bc70-0-3
Abstract
We formulate the Leray problem for inhomogeneous fluids in two dimensions and outline the proof of the existence of a solution. There are two kinds of results depending on whether the given value for the density is a continuous function or only an $L^\infty$ function. In the former case, the given densities are attained in the sense of uniform convergence and in the latter with respect to weak-$\ast$ convergence.
