DOAJ Open Access 2019

Global strong solutions of the density-dependent incompressible MHD system with zero resistivity in a bounded domain

Jishan Fan Bessem Samet Yong Zhou

Abstrak

In this paper, we first establish a regularity criterion for the strong solutions to the density-dependent incompressible MHD system with zero resistivity in a bounded domain. Then we use it and the bootstrap argument to prove the global well-posedness provided that the initial data u0 and b0 satisfy that (d-2)||∇u0 || L2+||b0||w1,p are sufficiently small with . We do not assume the positivity of initial density, it may vanish in an open subset (vacuum) of Ω.

Topik & Kata Kunci

Mathematics

Penulis (3)

Jishan Fan

Bessem Samet

Yong Zhou

Format Sitasi

APA MLA BibTeX

Fan, J., Samet, B., Zhou, Y. (2019). Global strong solutions of the density-dependent incompressible MHD system with zero resistivity in a bounded domain. https://doi.org/10.3846/mma.2019.007

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Informasi Jurnal

Tahun Terbit: 2019
Sumber Database: DOAJ
DOI: 10.3846/mma.2019.007
Akses: Open Access ✓