## Abstract In this paper we study the magnetoβmicropolar fluid equations in β^3^, prove the existence of the strong solution with initial data in __H__^__s__^(β^3^) for $s>{3\over2}$, and set up its blowβup criterion. The tool we mainly use is LittlewoodβPaley decomposition, by which we obtain a B
The relation of Tellegen's theorem to the continuous field equations revisited
β Scribed by B. Jakoby
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 71 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0098-9886
- DOI
- 10.1002/cta.646
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β¦ Synopsis
Abstract
Tellegen's theorem for networks is directly derived from Maywell's equations. As for general circuits including capacitors and inductances, nonβvanishing displacement currents and temporally varying magnetic fluxes are present, in the presented approach domains containing lumped elements are treated such that the utilization of an electric potential and of Kirchhoff's current law can be maintained in the considered field domain. The procedure works for the general form of Tellegen's theorem including nonlinear elements and relating topologically equal but otherwise different networks. Copyright Β© 2010 John Wiley & Sons, Ltd.
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