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Global Weak Solutions for SQG in Bounded Domains
被引:21
作者
:
Constantin, Peter
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Fine Hall, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Fine Hall, Princeton, NJ 08544 USA
Constantin, Peter
[
1
]
Huy Quang Nguyen
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Program Appl & Computat Math, Fine Hall, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Fine Hall, Princeton, NJ 08544 USA
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
来源
:
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
|
2018年
/ 71卷
/ 11期
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
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Politecn Cataluna, ICREA, E-08028 Barcelona, Spain
Univ Politecn Cataluna, Dept Matemat Aplicada 1, E-08028 Barcelona, Spain
Univ Politecn Cataluna, ICREA, E-08028 Barcelona, Spain
Cabre, Xavier
Tan, Jinggang
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile
Univ Politecn Cataluna, ICREA, E-08028 Barcelona, Spain
Tan, Jinggang
[J].
ADVANCES IN MATHEMATICS,
2010,
224
(05)
: 2052
-
2093
[4]
Generalized surface quasi-geostrophic equations with singular velocities
Chae, Dongho
论文数:
0
引用数:
0
h-index:
0
机构:
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
Chae, Dongho
Constantin, Peter
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Program Appl & Computat Math, Princeton, NJ 08544 USA
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
Constantin, Peter
Cordoba, Diego
论文数:
0
引用数:
0
h-index:
0
机构:
Consejo Super Invest Cient, Inst Ciencias Matemat, Madrid 28049, Spain
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
Cordoba, Diego
Gancedo, Francisco
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0
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h-index:
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机构:
Univ Seville, Dept Anal Matemat, E-41012 Seville, Spain
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
Gancedo, Francisco
Wu, Jiahong
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引用数:
0
h-index:
0
机构:
Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
Wu, Jiahong
[J].
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
2012,
65
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: 1037
-
1066
[5]
FORMATION OF STRONG FRONTS IN THE 2-D QUASI-GEOSTROPHIC THERMAL ACTIVE SCALAR
CONSTANTIN, P
论文数:
0
引用数:
0
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0
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PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544
CONSTANTIN, P
MAJDA, AJ
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544
MAJDA, AJ
TABAK, E
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544
TABAK, E
[J].
NONLINEARITY,
1994,
7
(06)
: 1495
-
1533
[6]
On the critical dissipative quasi-geostrophic equation
Constantin, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Chicago, Dept Math, Chicago, IL 60637 USA
Univ Chicago, Dept Math, Chicago, IL 60637 USA
Constantin, P
论文数:
引用数:
h-index:
机构:
Cordoba, D
Wu, JH
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Chicago, Dept Math, Chicago, IL 60637 USA
Wu, JH
[J].
INDIANA UNIVERSITY MATHEMATICS JOURNAL,
2001,
50
: 97
-
107
[7]
Critical SQG in Bounded Domains
论文数:
引用数:
h-index:
机构:
Constantin P.
Ignatova M.
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Princeton University, Princeton, 08544, NJ
Department of Mathematics, Princeton University, Princeton, 08544, NJ
Ignatova M.
[J].
Annals of PDE,
2
(2)
[8]
Remarks on the Fractional Laplacian with Dirichlet Boundary Conditions and Applications
Constantin, Peter
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Constantin, Peter
Ignatova, Mihaela
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
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
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Constantin, Peter
Tarfulea, Andrei
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Tarfulea, Andrei
Vicol, Vlad
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Vicol, Vlad
[J].
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,
2014,
212
(03)
: 875
-
903
[10]
SURFACE QUASI-GEOSTROPHIC DYNAMICS
HELD, IM
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
HELD, IM
PIERREHUMBERT, RT
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
PIERREHUMBERT, RT
GARNER, ST
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
GARNER, ST
SWANSON, KL
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
SWANSON, KL
[J].
JOURNAL OF FLUID MECHANICS,
1995,
282
: 1
-
20
←
1
2
→
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
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Politecn Cataluna, ICREA, E-08028 Barcelona, Spain
Univ Politecn Cataluna, Dept Matemat Aplicada 1, E-08028 Barcelona, Spain
Univ Politecn Cataluna, ICREA, E-08028 Barcelona, Spain
Cabre, Xavier
Tan, Jinggang
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile
Univ Politecn Cataluna, ICREA, E-08028 Barcelona, Spain
Tan, Jinggang
[J].
ADVANCES IN MATHEMATICS,
2010,
224
(05)
: 2052
-
2093
[4]
Generalized surface quasi-geostrophic equations with singular velocities
Chae, Dongho
论文数:
0
引用数:
0
h-index:
0
机构:
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
Chae, Dongho
Constantin, Peter
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Program Appl & Computat Math, Princeton, NJ 08544 USA
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
Constantin, Peter
Cordoba, Diego
论文数:
0
引用数:
0
h-index:
0
机构:
Consejo Super Invest Cient, Inst Ciencias Matemat, Madrid 28049, Spain
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
Cordoba, Diego
Gancedo, Francisco
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Seville, Dept Anal Matemat, E-41012 Seville, Spain
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
Gancedo, Francisco
Wu, Jiahong
论文数:
0
引用数:
0
h-index:
0
机构:
Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
Chung Ang Univ, Dept Math, Seoul 156756, South Korea
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
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544
CONSTANTIN, P
MAJDA, AJ
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544
MAJDA, AJ
TABAK, E
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544
TABAK, E
[J].
NONLINEARITY,
1994,
7
(06)
: 1495
-
1533
[6]
On the critical dissipative quasi-geostrophic equation
Constantin, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Chicago, Dept Math, Chicago, IL 60637 USA
Univ Chicago, Dept Math, Chicago, IL 60637 USA
Constantin, P
论文数:
引用数:
h-index:
机构:
Cordoba, D
Wu, JH
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Chicago, Dept Math, Chicago, IL 60637 USA
Wu, JH
[J].
INDIANA UNIVERSITY MATHEMATICS JOURNAL,
2001,
50
: 97
-
107
[7]
Critical SQG in Bounded Domains
论文数:
引用数:
h-index:
机构:
Constantin P.
Ignatova M.
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Princeton University, Princeton, 08544, NJ
Department of Mathematics, Princeton University, Princeton, 08544, NJ
Ignatova M.
[J].
Annals of PDE,
2
(2)
[8]
Remarks on the Fractional Laplacian with Dirichlet Boundary Conditions and Applications
Constantin, Peter
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Constantin, Peter
Ignatova, Mihaela
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
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
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Constantin, Peter
Tarfulea, Andrei
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Tarfulea, Andrei
Vicol, Vlad
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Vicol, Vlad
[J].
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,
2014,
212
(03)
: 875
-
903
[10]
SURFACE QUASI-GEOSTROPHIC DYNAMICS
HELD, IM
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
HELD, IM
PIERREHUMBERT, RT
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
PIERREHUMBERT, RT
GARNER, ST
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
GARNER, ST
SWANSON, KL
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
UNIV CHICAGO,DEPT GEOPHYS SCI,CHICAGO,IL 60637
SWANSON, KL
[J].
JOURNAL OF FLUID MECHANICS,
1995,
282
: 1
-
20
←
1
2
→