On the hydrostatic and Darcy limits of the convective Navier-Stokes equations

被引：0
|
作者：
Yann Brenier
机构：
[1] Université de Nice (FR 2800 W. Döblin),U.M.R. CNRS 6621
[2] Institut Universitaire de France,undefined
来源：
Chinese Annals of Mathematics, Series B | 2009年 / 30卷
关键词：
Atmospheric sciences; Fluid mechanics; Asymptotic analysis; 86A10; 35Q35; 76B99; 86A05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The author studies two singular limits of the convective Navier-Stokes equations. The hydrostatic limit is first studied: the author shows the existence of global solutions with a convex pressure field and derives them from the convective Navier-Stokes equations as long as the pressure field is smooth and strongly convex. The (friction dominated) Darcy limit is also considered, and a relaxed version is studied.
引用
收藏
页码：683 / 696
页数：13
相关论文
共 50 条
  • [41] NAVIER-STOKES AND STOCHASTIC NAVIER-STOKES EQUATIONS VIA LAGRANGE MULTIPLIERS
    Cruzeiro, Ana Bela
    JOURNAL OF GEOMETRIC MECHANICS, 2019, 11 (04): : 553 - 560
  • [42] Recasting Navier-Stokes equations
    Reddy, M. H. Lakshminarayana
    Dadzie, S. Kokou
    Ocone, Raffaella
    Borg, Matthew K.
    Reese, Jason M.
    JOURNAL OF PHYSICS COMMUNICATIONS, 2019, 3 (10):
  • [43] NAVIER-STOKES EQUATIONS ON THE β-PLANE
    Al-Jaboori, Mustafa A. H.
    Wirosoetisno, Djoko
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 16 (03): : 687 - 701
  • [44] TRANSFORMATION OF NAVIER-STOKES EQUATIONS
    ROGERS, DF
    GRANGER, RA
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1971, 16 (11): : 1331 - &
  • [45] FLUCTUATIONS IN NAVIER-STOKES EQUATIONS
    PAPANICOLAOU, GC
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A236 - A236
  • [46] NAVIER-STOKES EQUATIONS PARADOX
    Ramm, Alexander G.
    REPORTS ON MATHEMATICAL PHYSICS, 2021, 88 (01) : 41 - 45
  • [47] STOCHASTIC NAVIER-STOKES EQUATIONS
    CAPINSKI, M
    CUTLAND, N
    ACTA APPLICANDAE MATHEMATICAE, 1991, 25 (01) : 59 - 85
  • [48] FRACTIONAL NAVIER-STOKES EQUATIONS
    Cholewa, Jan W.
    Dlotko, Tomasz
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (08): : 2967 - 2988
  • [49] Euler and Navier-Stokes equations
    Constantin, Peter
    PUBLICACIONS MATEMATIQUES, 2008, 52 (02) : 235 - 265
  • [50] On the Navier-Stokes equations on surfaces
    Pruess, Jan
    Simonett, Gieri
    Wilke, Mathias
    JOURNAL OF EVOLUTION EQUATIONS, 2021, 21 (03) : 3153 - 3179
12345