L~p-theory for Stokes and Navier-Stokes equations with Navier boundary condition

Chérif Amrouche; Ahmed Rejaiba

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L~p-theory for Stokes and Navier-Stokes equations with Navier boundary condition

机译：具有Navier边界条件的Stokes和Navier-Stokes方程的L〜p理论

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This work was intended as an attempt at studying stationary Stokes and Navier-Stokes problem with Navier boundary conditions (1.3). We wish to investigate some results of existence, uniqueness and regularity of solutions in Hilbert case and in L~p -theory.

机译：这项工作旨在研究具有Navier边界条件的平稳Stokes和Navier-Stokes问题（1.3）。我们希望研究希尔伯特案例和L〜p理论中解的存在性，唯一性和正则性的一些结果。

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来源
《Journal of Differential Equations》 |2014年第4期|共33页
作者
Chérif Amrouche; Ahmed Rejaiba;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
Stokes equations; Navier-Stokes equations; Navier boundary conditions; Very weak solutions; L~p-theory; Fluid mechanics;

机译：Stokes方程;Navier-Stokes方程;Navier边界条件;非常弱的解;L〜p理论;流体力学;

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专利

1. L~p-theory for Stokes and Navier-Stokes equations with Navier boundary condition [J] . Chérif Amrouche, Ahmed Rejaiba Journal of Differential Equations . 2014,第4期

机译：具有Navier边界条件的Stokes和Navier-Stokes方程的L〜p理论
2. Local in time strong solvability of the non-steady Navier-Stokes equations with Navier's boundary condition and the question of the inviscid limit [Solutions fortes vérifiant des conditions aux limites de Navier pour les équations de Navier-Stokes non stationnaires, et la question de leur limite inviscide.] [J] . Neustupa J., Penel P. Comptes rendus. Mathematique . 2010,第19a20期

机译：具有Navier边界条件的非定常Navier-Stokes方程和无粘性极限问题的局部时间强可解性[验证非平稳Navier-Stokes方程的Navier边界条件的强解及其问题无形限制。]
3. Stokes and Navier-Stokes equations with Navier boundary condition [J] . Acevedo Paul, Amrouche Cherif, Conca Carlos, Comptes rendus. Mathematique . 2019,第2期

机译：Stokes和Navier-Stokes方程与Navier边界条件
4. Error Transport Equation Boundary Conditions for the Euler and Navier-Stokes Equations [C] . Tyrone S. Phillips, Christopher J. Roy, Jeff Borggaard AIAA SciTech forum;Aerospace sciences meeting . 2014

机译：Euler和Navier-Stokes方程的误差传递方程的边界条件
5. On boundary regularity for the Stokes and Navier-Stokes equations. [D] . Kang, Kyungkeun. 2002

机译：关于Stokes和Navier-Stokes方程的边界正则性。
6. A Numerical Method for Solving the 3D Unsteady Incompressible Navier-Stokes Equations in Curvilinear Domains with Complex Immersed Boundaries [O] . Liang Ge, Fotis Sotiropoulos -1

机译：具有复杂浸入边界的曲线域中求解3D非稳态不可压缩Navier-Stokes方程的数值方法
7. Navier-Stokes' Equation with the Generalized Impermeability Boundary Conditions and Initial Data in Domains of Powers of the Stokes Operator(Kyoto Conference on the Navier-Stokes Equations and their Applications) [O] . Kucera Petr, Neustupa Jiri, Penel Patrick 2007

机译：具有广义不可渗透边界条件和斯托克斯算子幂域中的初始数据的Navier-Stokes方程（关于Navier-Stokes方程的京都会议及其应用）

L~p-theory for Stokes and Navier-Stokes equations with Navier boundary condition

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