MHD equations in a bounded domain

Maria B. Kania

Published: 2021-07-27

Vol. 35 No. 2 (2021)

MHD equations in a bounded domain

Maria B. Kania

Abstract

We consider the MHD system in a bounded domain Ω⊂ℝ^N, N = 2, 3, with Dirichlet boundary conditions. Using Dan Henry’s semigroup approach and Giga–Miyakawa estimates we construct global in time, unique solutions to fractional approximations of the MHD system in the base space (L²(Ω))^N× (L²(Ω))^N. Solutions to MHD system are obtained next as a limits of that fractional approximations.

Keywords:

MHD equations , abstract parabolic problem , fractional approximations

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Kania, M. B. (2021). MHD equations in a bounded domain. Annales Mathematicae Silesianae, 35(2), 211–235. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13448

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Vol. 35 No. 2 (2021)
Published: 2021-09-10

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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