AN EXISTENCE RESULT FOR NON-NEWTONIAN FLUIDS IN NON-REGULAR DOMAINS

Lars Diening; Michael Ruzicka

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AN EXISTENCE RESULT FOR NON-NEWTONIAN FLUIDS IN NON-REGULAR DOMAINS

机译：非规则域中非牛顿流体的存在结果

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摘要

We show the existence of weak solutions to the steady system describing the motion of certain non-Newtonian fluids in non-regular domains. This generalizes previous results for Lipschitz continuous domains. In the proof we combine a localization of the Lipschitz truncation method with a domain decomposition theorem, which enables to extend results known for nice domains to John domains.

机译：我们显示了描述某些非牛顿流体在非规则域中运动的稳定系统的弱解的存在。这概括了Lipschitz连续域的先前结果。在证明中，我们将Lipschitz截断方法的局部化与域分解定理结合在一起，这可以将尼斯域已知的结果扩展到John域。

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《Discrete and continuous dynamical systems▼hSeries S》 |2010年第2期|P.255-268|共14页
作者
Lars Diening; Michael Ruzicka;
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作者单位

Universitaet Freiburg Mathematisches Institut Eckerstr. 1 D-79104 Freiburg, Germany;

rnUniversitaet Freiburg Mathematisches Institut Eckerstr. 1 D-79104 Freiburg, Germany;

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正文语种 eng
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关键词
non-newtonian fluids; electrorheological fluids; john domains; divergence equation; korn's inequality; lebesgue and sobolev spaces with variable exponents; lipschitz truncation method; domain decomposition; theorem of de rham;

机译：非牛顿流体;电流变液;约翰域斯散度方程康恩不平等具有可变指数的勒贝格和索伯列夫空间;Lipschitz截断法;域分解;德拉姆定理;

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AN EXISTENCE RESULT FOR NON-NEWTONIAN FLUIDS IN NON-REGULAR DOMAINS

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