Journal article
Large Time Existence of Special Strong Solutions to MHD Equations in Cylindrical Domains
Journal of Mathematical Fluid Mechanics, Vol.20(3), pp.1013-1034
09/2018
DOI: 10.1007/s00021-017-0353-2
Abstract
We investigate the problem of the existence of regular solutions to the three-dimensional MHD equations in cylindrical domains with perfectly conducting boundaries and under the Navier boundary conditions for the velocity field. We show that if the initial and external data do not change too rapidly along the axis of the cylinder, then there exists a unique regular solution for any finite time.
Details
- Title: Subtitle
- Large Time Existence of Special Strong Solutions to MHD Equations in Cylindrical Domains
- Creators
- Bernard Nowakowski - 0000 0001 1958 0162 grid.413454.3 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warsaw PolandGerhard Ströhmer - 0000 0004 1936 8294 grid.214572.7 Department of Mathematics, College of Liberal Arts and Sciences The University of Iowa 14 MacLean Hall Iowa City IA 52242 USAWojciech Zaja̧czkowski - 0000 0001 1512 1639 grid.69474.38 Institute of Mathematics and Cryptology Military University of Technology Kaliskiego 2 00-908 Warsaw Poland
- Resource Type
- Journal article
- Publication Details
- Journal of Mathematical Fluid Mechanics, Vol.20(3), pp.1013-1034
- DOI
- 10.1007/s00021-017-0353-2
- ISSN
- 1422-6928
- eISSN
- 1422-6952
- Publisher
- Springer International Publishing; Cham
- Grant note
- PIRSES-GA-2012-319012 / FP7 People: Marie-Curie Actions (http://dx.doi.org/10.13039/100011264) 2853/7.PR/2013/2 / Ministerstwo Nauki i Szkolnictwa Wyższego (http://dx.doi.org/10.13039/501100004569)
- Language
- English
- Date published
- 09/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9983985947602771
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