期刊文献+

LOW MACH NUMBER LIMIT ON EXTERIOR DOMAINS

LOW MACH NUMBER LIMIT ON EXTERIOR DOMAINS
下载PDF
导出
摘要 This paper is concerned with the low Mach number limit for the compressible Navier-Stokes equations in an exterior domain. We present here an approach based on Strichartz estimate defined on a non trapping exterior domain and we will be able to show the compactness and strong convergence of the velocity vector field. This paper is concerned with the low Mach number limit for the compressible Navier-Stokes equations in an exterior domain. We present here an approach based on Strichartz estimate defined on a non trapping exterior domain and we will be able to show the compactness and strong convergence of the velocity vector field.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第1期164-176,共13页 数学物理学报(B辑英文版)
关键词 exterior domain compressible and incompressible Navier-Stokes equation low Mach number limit hyperbolic equations wave equations RESCALING dispersive estimates Strichartz estimates exterior domain compressible and incompressible Navier-Stokes equation low Mach number limit hyperbolic equations wave equations rescaling dispersive estimates Strichartz estimates
  • 相关文献

参考文献19

  • 1Adams R A. Sobolev Spaces. New York: Academic Press, 1975.
  • 2Burq N. Global Strichartz estimates for nontrapping geometries: about an article by H.F. Smith and C.D. Sogge: "Global Strichartz estimates for nontrapping perturbations of the Laplacian" [Comm Partial Differential Equation, 2000, 25(11/12): 2171 2183; MR1789924 (2001j:35180)]. Comm Partial Differ Equ, 2003, 28(9/10): 1675 1683.
  • 3Chorin A J, Marsden J E. A Mathematical Introduction to Fluid Mechanics. Third ed. Texts in Applied Mathematics, Vol 4. New York: Springer-Verlag, 1993.
  • 4Desjardins B, Grenier E. Low Mach number limit of viscous compressible flows in the whole space. R Soc Lond Proc Ser A Math Phys Eng Sci, 1999, 455(1986): 2271-2279.
  • 5Desjardins B, Grenier E, Lions P -L, Masmoudi N. Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions. J Math Pures Appl, 1999, 78(5): 461-471.
  • 6Donatelli D, Marcati P. A quasineutral type limit for the Navier-Stokes-Poisson system with large data. Nonlinearity, 2008, 21(1): 135-148.
  • 7Donatelli D, Marcati P. Leray weak solutions of the incompressible navier stokes system on exterior domains via the artificial compressibility method. Indiana Univ Math J, 2010, 59:1831-1852.
  • 8Donatelli D, Feireisl E, Novotny A. On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions. Discrete Contin Dyn Syst Ser B, 2010, 13(4): 783-798.
  • 9Ducomet B, Feireisl E, Petzeltova H, Straskraba I. Existence globale pour un fiuide barotrope autogravi- tant. C R Acad Sci Paris Ser I Math, 2001, 332(7): 627-632.
  • 10Ducomet B, Feireisl E, Petzeltova H, Straskraba I. Global in time weak solutions for compressible barotropic self-gravitating fluids. Discrete Contin Dyn Syst, 2004, 11(1): 113-130.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部