J. Frehse, M. Steinhauer, W. Weigant ( http://bbs.sciencenet.cn/home.php?mod=spaceuid=287000do=blogid=429553 http://bbs.sciencenet.cn/home.php?mod=spaceuid=287000do=blogid=430857 ) established the existence of a weak solution to the 2-D stead ...
J. Frehse, M. Steinhauer, W. Weigant, The Dirichlet problem for viscous compressible isothermal Navier-Stokes equations in two dimensions, Arch. Rational Mech. 198 (2010), 1-12. Abstract We consider the Navier-Stokes equations for compressible isothermal flow i ...
http://bbs.sciencenet.cn/home.php?mod=spaceuid=287000do=blogid=429553 Last time I read this paper. I do think that I could improve this result, although the authors have improved the regularity of the density to 2 in a later paper published in ARMA. Ter ...