Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity

被引：16
|
作者：
Rousseau, A [1 ]
Temam, R
Tribbia, J
机构：
[1] Univ Paris 11, Anal Numer Lab, F-91405 Orsay, France
[2] Indiana Univ, Inst Appl Math & Sci Comp, Bloomington, IN 47405 USA
[3] Natl Ctr Atmospher Res, Boulder, CO 80307 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2005年 / 13卷 / 05期
关键词：
Nonviscous Primitive Equations; semi-group theory; well-posedness; limited domains; transparent boundary conditions;
D O I：
10.3934/dcds.2005.13.1257
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The linearized Primitive Equations with vanishing viscosity are considered. Some new boundary conditions (of transparent type) are introduced in the context of a modal expansion of the solution which consist of an infinite sequence of integral equations. Applying the linear semi-group theory, existence and uniqueness of solutions is established. The case with nonhomogeneous boundary values, encountered in numerical simulations in limited domains, is also discussed.
引用
收藏
页码：1257 / 1276
页数：20
相关论文
共 50 条
  • [1] The 3D Primitive Equations in the absence of viscosity: Boundary conditions and well-posedness in the linearized case
    Rousseau, A.
    Temam, R.
    Tribbia, J.
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2008, 89 (03): : 297 - 319
  • [2] BOUNDARY LAYERS FOR THE 2D LINEARIZED PRIMITIVE EQUATIONS
    Hamouda, Makram
    Jung, Chang-Yeol
    Temam, Roger
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (01) : 335 - 359
  • [3] Backstepping boundary stabilization of linearized 2D Hartman flow
    Xu, Chao
    Schuster, Eugenio
    Vazquez, Rafael
    Krstic, Miroslav
    2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 5224 - +
  • [4] The Linearized 2D Inviscid Shallow Water Equations in a Rectangle: Boundary Conditions and Well-Posedness
    Aimin Huang
    Roger Temam
    Archive for Rational Mechanics and Analysis, 2014, 211 : 1027 - 1063
  • [5] The Linearized 2D Inviscid Shallow Water Equations in a Rectangle: Boundary Conditions and Well-Posedness
    Huang, Aimin
    Temam, Roger
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2014, 211 (03) : 1027 - 1063
  • [6] Stabilization of linearized 2D magnetohydrodynamic channel flow by backstepping boundary control
    Xu, Chao
    Schuster, Eugenio
    Vazquez, Rafael
    KrstiC, Miroslav
    SYSTEMS & CONTROL LETTERS, 2008, 57 (10) : 805 - 812
  • [7] ABSORBING BOUNDARY-CONDITIONS FOR THE LINEARIZED EULER EQUATIONS IN 2-D
    KRONER, D
    MATHEMATICS OF COMPUTATION, 1991, 57 (195) : 153 - 167
  • [8] On Singularities in 2D Linearized Elasticity
    Itou, Hiromichi
    MATHEMATICAL ANALYSIS OF CONTINUUM MECHANICS AND INDUSTRIAL APPLICATIONS, 2017, 26 : 35 - 47
  • [9] On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
    Clopeau, T
    Mikelic, A
    Robert, R
    NONLINEARITY, 1998, 11 (06) : 1625 - 1636
  • [10] ARTIFICIAL BOUNDARY-CONDITIONS FOR 2D PROBLEMS IN GEOPHYSICS
    GIVOLI, D
    VIGDERGAUZ, S
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 110 (1-2) : 87 - 101
12345