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 ...
Pierre Germain, Weak-strong uniqueness for the isentropic compressible Navier-Stokes system. J. Math. Fluid Mech. 13 (2011), 137-146. Abstract We prove weak-strong uniqueness results for the isentropic compressible Navier-Stokes system on the torus. In other words, we giv ...
By J. Frehse, M. Steinhauer, W. Weigant J. Math. Fluid Mech. 13 (2011), 55-63. Abstract We consider the Navier-Stokes equationsfor compressible isothermal flow in the steady two dimensional case and show the existence of a weak solution in t ...
C.R. Acad. Sci. Paris. Ser. I 347 (2009) 89-92. Abstract Let be a strong solution of the Navier-Stokes equations on 3-dimensional torus , and be the voricity. In this note we show that is decreasing in t as long as the solution exists, where ...
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