The Leray problem for 2D inhomogeneous fluids

Farid Ammar-Khodja, and Marcelo M. Santos. "The Leray problem for 2D inhomogeneous fluids." Banach Center Publications 70.1 (2005): 51-59. <http://eudml.org/doc/282210>.

@article{FaridAmmar2005,
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 $L^∞$ function. In the former case, the given densities are attained in the sense of uniform convergence and in the latter with respect to weak-* convergence.},
author = {Farid Ammar-Khodja, Marcelo M. Santos},
journal = {Banach Center Publications},
keywords = {stationary Navier-Stokes equations; incompressible flow; discontinuous density},
language = {eng},
number = {1},
pages = {51-59},
title = {The Leray problem for 2D inhomogeneous fluids},
url = {http://eudml.org/doc/282210},
volume = {70},
year = {2005},
}

TY - JOUR
AU - Farid Ammar-Khodja
AU - Marcelo M. Santos
TI - The Leray problem for 2D inhomogeneous fluids
JO - Banach Center Publications
PY - 2005
VL - 70
IS - 1
SP - 51
EP - 59
AB - 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 $L^∞$ function. In the former case, the given densities are attained in the sense of uniform convergence and in the latter with respect to weak-* convergence.
LA - eng
KW - stationary Navier-Stokes equations; incompressible flow; discontinuous density
UR - http://eudml.org/doc/282210
ER -