On the existence of Lp solutions of the magnetohydrodynamic equations in a bounded domain
β Scribed by Takahiro Akiyama
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 125 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
In this paper, we show the existence of L p solutions of the magnetohydrodynamic equations with the non-slip boundary condition and the perfect conducting wall boundary condition. The magnetohydrodynamic equations are a phenomenological model for magnetic uid.
π SIMILAR VOLUMES
## Abstract This paper presents necessary and sufficient conditions for an __n__ βth order differential equation to have a nonβcontinuable solution with finite limits of its derivatives up to the order __l__ at the rightβhand end point of the interval of its definition, __l__ β€ __n__ β 2 (Β© 2010 WI
## Abstract We obtain the __L__~__p__~β__L__~__q__~ maximal regularity of the Stokes equations with Robin boundary condition in a bounded domain in β^__n__^ (__n__β©Ύ2). The Robin condition consists of two conditions: __v__ β __u__=0 and Ξ±__u__+Ξ²(__T__(__u__, __p__)__v__ β γ__T__(__u__, __p__)__v__,
## Abstract This paper is concerned with the thermoelastic plate equations in a domain Ξ©: subject to the boundary condition: __u__|=__D__~Ξ½~__u__|=ΞΈ|=0 and initial condition: (__u, u__~__t__~, ΞΈ)|~__t__=0~=(__u__~0~, __v__~0~, ΞΈ~0~). Here, Ξ© is a bounded domain in β^__n__^(__n__β§2). We assume tha