Regularity results for the Primitive Equations of the ocean

被引：0

作者：

Nodet, Maelle ^{[1
]}

机构：

[1] Univ Grenoble 1, Lab Modelisat & Calcul, CNRS, F-38041 Grenoble 9, France

来源：

ASYMPTOTIC ANALYSIS | 2006年 / 50卷 / 3-4期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the linear Primitive Equations of the ocean in the three-dimensional space, with horizontal periodic and vertical Dirichlet boundary conditions. Thanks to Fourier transforms we are able to calculate explicitly the pressure term. We then state existence, unicity and regularity results for the linear time-depending Primitive Equations, with low-regularity right-hand side.

引用

页码：293 / 324

页数：32

共 50 条

[31] Optimal control of the primitive equations of the ocean with state constraints
Medjo, T. Tachim
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (03) : 634 - 649
[32] On the order of magnitude of the baroclinic flow in the primitive equations of the ocean
Simonnet, E.
Medjo, T. Tachim
Temam, R.
ANNALI DI MATEMATICA PURA ED APPLICATA, 2006, 185 (Suppl 5) : S293 - S313
[33] On the order of magnitude of the baroclinic flow in the primitive equations of the ocean
E. Simonnet
T. Tachim Medjo
R. Temam
Annali di Matematica Pura ed Applicata, 2006, 185 : S293 - S313
[34] Some boundedness of solutions for the primitive equations of the atmosphere and the ocean
Honda, Hirotada
Tani, Atusi
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2015, 95 (01): : 38 - 48
[35] A small eddy correction algorithm for the primitive equations of the ocean
Medjo, T. Tachim
Temarn, R.
MATHEMATICAL MODELING, SIMULATION, VISUALIZATION AND E-LEARNING, 2008, : 107 - 150
[36] OPTIMAL CONTROL OF THE PRIMITIVE EQUATIONS OF THE OCEAN WITH LAGRANGIAN OBSERVATIONS
Nodet, Maelle
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2010, 16 (02) : 400 - 419
[37] OPTIMIZED SCHWARZ WAVEFORM RELAXATION FOR THE PRIMITIVE EQUATIONS OF THE OCEAN
Audusse, E.
Dreyfuss, P.
Merlet, B.
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 32 (05): : 2908 - 2936
[38] Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations
Glatt-Holtz, Nathan
Kukavica, Igor
Vicol, Vlad
Ziane, Mohammed
JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (05)
[39] Theoretical results on the existence, regularity and asymptotic stability of enhanced pullback attractors: applications to 3D primitive equations
Wang, Renhai
Guo, Boling
Huang, Daiwen
ACTA MATHEMATICA SCIENTIA, 2023, 43 (06) : 2493 - 2518
[40] THEORETICAL RESULTS ON THE EXISTENCE,REGULARITY AND ASYMPTOTIC STABILITY OF ENHANCED PULLBACK ATTRACTORS:APPLICATIONS TO 3D PRIMITIVE EQUATIONS
王仁海
郭柏灵
黄代文
ActaMathematicaScientia, 2023, 43 (06) : 2493 - 2518

← 1 2 3 4 5 →