Global Weak Solutions for SQG in Bounded Domains

被引:21
作者
Constantin, Peter [1 ]
Huy Quang Nguyen [2 ]
机构
[1] Princeton Univ, Dept Math, Fine Hall, Princeton, NJ 08544 USA
[2] Princeton Univ, Program Appl & Computat Math, Fine Hall, Princeton, NJ 08544 USA
基金
美国国家科学基金会;
关键词
EQUATIONS;
D O I
10.1002/cpa.21720
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove existence of global weak L-2 solutions of the inviscid SQG equation in bounded domains. (C) 2017 Wiley Periodicals, Inc.
引用
收藏
页码:2323 / 2333
页数:11
相关论文
共 12 条
  • [1] [Anonymous], 1969, Quelques methodes de resolution des problemes aux limites non lineaires
  • [2] [Anonymous], 1995, DYNAMICAL PROBLEMS N
  • [3] Positive solutions of nonlinear problems involving the square root of the Laplacian
    Cabre, Xavier
    Tan, Jinggang
    [J]. ADVANCES IN MATHEMATICS, 2010, 224 (05) : 2052 - 2093
  • [4] Generalized surface quasi-geostrophic equations with singular velocities
    Chae, Dongho
    Constantin, Peter
    Cordoba, Diego
    Gancedo, Francisco
    Wu, Jiahong
    [J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2012, 65 (08) : 1037 - 1066
  • [5] FORMATION OF STRONG FRONTS IN THE 2-D QUASI-GEOSTROPHIC THERMAL ACTIVE SCALAR
    CONSTANTIN, P
    MAJDA, AJ
    TABAK, E
    [J]. NONLINEARITY, 1994, 7 (06) : 1495 - 1533
  • [6] On the critical dissipative quasi-geostrophic equation
    Constantin, P
    Cordoba, D
    Wu, JH
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2001, 50 : 97 - 107
  • [7] Critical SQG in Bounded Domains
    Constantin P.
    Ignatova M.
    [J]. Annals of PDE, 2 (2)
  • [8] Remarks on the Fractional Laplacian with Dirichlet Boundary Conditions and Applications
    Constantin, Peter
    Ignatova, Mihaela
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017, 2017 (06) : 1653 - 1673
  • [9] Absence of Anomalous Dissipation of Energy in Forced Two Dimensional Fluid Equations
    Constantin, Peter
    Tarfulea, Andrei
    Vicol, Vlad
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2014, 212 (03) : 875 - 903
  • [10] SURFACE QUASI-GEOSTROPHIC DYNAMICS
    HELD, IM
    PIERREHUMBERT, RT
    GARNER, ST
    SWANSON, KL
    [J]. JOURNAL OF FLUID MECHANICS, 1995, 282 : 1 - 20