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Titlebook: Lp-Theory for Incompressible Newtonian Flows; Energy Preserving Bo Matthias K?hne Book 2013 Springer Fachmedien Wiesbaden 2013 Energy Prese

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發(fā)表于 2025-3-21 16:20:05 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Lp-Theory for Incompressible Newtonian Flows
副標題Energy Preserving Bo
編輯Matthias K?hne
視頻videohttp://file.papertrans.cn/589/588940/588940.mp4
概述Publication in the field of technical sciences?.Includes supplementary material:
圖書封面Titlebook: Lp-Theory for Incompressible Newtonian Flows; Energy Preserving Bo Matthias K?hne Book 2013 Springer Fachmedien Wiesbaden 2013 Energy Prese
描述.This thesis is devoted to the study of the basic equations of fluid dynamics. First Matthias K?hne focuses on the derivation of a class of boundary conditions, which is based on energy estimates, and, thus, leads to physically relevant conditions. The derived class thereby contains many prominent artificial boundary conditions, which have proved to be suitable for direct numerical simulations involving artificial boundaries. The second part is devoted to the development of a complete Lp-theory for the resulting initial boundary value problems in bounded smooth domains, i.e. the Navier-Stokes equations complemented by one of the derived energy preserving boundary conditions. Finally, the third part of this thesis focuses on the corresponding theory for bounded, non-smooth domains, where the boundary of the domain is allowed to contain a finite number of edges, provided the smooth components of the boundary that meet at such an edge are locally orthogonal..
出版日期Book 2013
關鍵詞Energy Preserving Boundary Condition; Mathematical Fluid Dynamics; Maximal Lp-Regularity; Navier-Stokes
版次1
doihttps://doi.org/10.1007/978-3-658-01052-2
isbn_softcover978-3-658-01051-5
isbn_ebook978-3-658-01052-2
copyrightSpringer Fachmedien Wiesbaden 2013
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沙發(fā)
發(fā)表于 2025-3-21 23:39:40 | 只看該作者
板凳
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5#
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,-Theory for Incompressible Newtonian FlowsThis chapter is devoted to the development of an ..-Theory for incompressible Newtonian flows in bounded, smooth domains subject to one of the energy preserving respectively artificial boundary conditions introduced in Chapter 2.
6#
發(fā)表于 2025-3-22 14:40:38 | 只看該作者
Maximal ,,-Regularity in a HalfspaceThis chapter is devoted to the study of the Stokes equations in a halfspace subject to one of the energy preserving respectively artificial boundary conditions introduced 2.19, 2.22 and 2.23.
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Maximal ,,-Regularity in a Bounded Smooth DomainThis chapter is devoted to the study of the Stokes equations subject to one of the energy preserving respectively artificial boundary conditions introduced 2.19, 2.22 and 2.23 in a bounded domain . with boundary . of class .., i. e. we prove Theorem 3.30.
9#
發(fā)表于 2025-3-23 03:08:26 | 只看該作者
The Navier-Stokes Equations course, these basic equations of fluid dynamics as well as their derivation can be found in many popular and classical books, see e. g. [Lam32] or [Bat00]. However, we want to keep this thesis as self-contained as possible and present a short derivation of the Navier-Stokes equations based on the principles of continuum mechanics.
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