Study of a class of control problems for the stationary Navier-Stokes equations with mixed boundary conditions

Brizitskii R.V.

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Study of a class of control problems for the stationary Navier-Stokes equations with mixed boundary conditions

机译：混合边界条件的固定Navier-Stokes方程的一类控制问题研究

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摘要

Under study are extremal problems for the stationary Navier-Stokes equations with mixed boundary conditions on velocity. Some new a priori estimates are deduced for solutions to the extremal problems under consideration. These yield some local theorems on the uniqueness and stability of solutions for the particular quality functionals that depend on the total pressure.

机译：在研究下是具有混合边界条件的固定Navier-Stokes方程对速度的极端问题。一些新的先验估计被推导出对所考虑的极端问题的解决方案。这些对依赖总压力的特定质量函数的唯一性和稳定性的唯一性和稳定性产生了一些局部定理。

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来源
《Journal of applied and industrial mathematics》 |2010年第3期|共9页
作者
Brizitskii R.V.;
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作者单位

Institute of Applied Mathematics ul. Radio 7 Vladivostok 690041 Russian Federation;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
control problems; local uniqueness; Navier-Stokes equations; pressure;

机译：控制问题;局部唯一性;Navier-Stokes方程;压力;

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专利

1. Study of a class of control problems for the stationary Navier-Stokes equations with mixed boundary conditions [J] . Brizitskii R.V. Journal of applied and industrial mathematics . 2010,第3期

机译：混合边界条件的固定Navier-Stokes方程的一类控制问题研究
2. Non-stationary Navier-Stokes Equations with Mixed Boundary Conditions [J] . Kim Tujin, Cao Daomin Journal of mathematical sciences, The University of Tokyo . 2017,第2期

机译：具有混合边界条件的非平稳Navier-Stokes方程
3. Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions [J] . Guerra Telma, Sequeira Adelia, Tiago Jorge Portugaliae Mathematica . 2015,第2a3期

机译：具有混合边界条件的Navier-Stokes方程的最优边界控制的存在
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. Some Studies on the Stationary Navier-Stokes Equations [D] . Lyu, Wenqi. 2019

机译：关于固定Navier-Stokes方程的一些研究
6. Modified Taylor series method for solving nonlinear differential equations with mixed boundary conditions defined on finite intervals [O] . Hector Vazquez-Leal, Brahim Benhammouda, Uriel Antonio Filobello-Nino, -1

机译：修正泰勒级数法求解有限边界上混合边界条件的非线性微分方程
7. Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions [O] . Guerra, Telma, Sequeira, Adélia, Tiago, Jorge 2015

机译：Navier-stokes方程最优边界控制的存在性具有混合边界条件
8. On conforming mixed finite element methods for the inhomogeneous stationary Navier-Stokes equations [R] . Gunzburger, Max D., Peterson, Janet S. 1982

机译：关于非齐次平稳Navier-stokes方程的一致混合有限元方法

Study of a class of control problems for the stationary Navier-Stokes equations with mixed boundary conditions

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