Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data
Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data
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非齐次数据的稳态和稳态纳维-斯托克斯方程的极弱解
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
H. Sohr
中科院分区：
文献类型：
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作者：
R. Farwig;G. Galdi;H. Sohr
研究了有界域Ω （subseteq）上平稳和非平稳Navier-Stokes方程的弱解u的几个方面。这个概念是由Amann（[3],[4]）提出的，用于具有非齐次边界数据的非平稳情况，|ϕΩ = g导致了一个新的非常大的解类。在这里，我们主要感兴趣的是研究具有任意散度k = div u，边界数据g = u|ϕΩ的更一般问题的“最大可能”类。外加一个力f，越弱越好。原则上，我们将遵循阿曼的做法。
We investigate several aspects of very weak solutions u to stationary and nonstationary Navier-Stokes equations in a bounded domain Ω ( subseteq ) ℝ3. This notion was introduced by Amann [3], [4] for the nonstationary case with nonhomogeneous boundary data u|ϕΩ = g leading to a new and very large solution class. Here we are mainly interested to investigate the ‘largest possible’ class for the more general problem with arbitrary divergence k = div u, boundary data g = u|ϕΩ. and an external force f, as weak as possible. In principle, we will follow Amann’s approach.