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About the equations of non-stationary magneto-hydrodynamics with non-conducting boundaries

✍ Scribed by Gerhard Ströhmer

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
149 KB
Volume
39
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

About the equations of non-stationary ma
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✍ Gerhard Ströhmer 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 231 KB

We obtain weak solutions for the equations of magneto-hydrodynamics which are regular for almost all times. If these solutions are small in a suitable sense they are strong for all times. The conductivity, and to a lesser extent the magnetic permeability, are allowed to vary discontinuously.

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The work deals with boundary equations appearing if non-stationary problems for Maxwell system are solved with the help of surface-retarded potentials. The solvability of these equations is proved in some functional spaces of Sobolev type.