A Regularity Criterion for the Density-Dependent Magnetohydrodynamics System in Critical Besov Spaces

Ryosuke Nakasato

doi:10.1007/s00021-018-0393-2

A Regularity Criterion for the Density-Dependent Magnetohydrodynamics System in Critical Besov Spaces

Ryosuke Nakasato^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we study the Cauchy problem for incompressible density-dependent magnetohydrodynamics system in RN(N≥2). We prove the regularity criterion of solutions in the critical Besov spaces. For the proof of the results we use the commutator estimate and product estimate for nonlinear term.

Original language	English
Pages (from-to)	1911-1919
Number of pages	9
Journal	Journal of Mathematical Fluid Mechanics
Volume	20
Issue number	4
DOIs	https://doi.org/10.1007/s00021-018-0393-2
Publication status	Published - 2018 Dec 1
Externally published	Yes

ASJC Scopus subject areas

Mathematical Physics
Condensed Matter Physics
Computational Mathematics
Applied Mathematics

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10.1007/s00021-018-0393-2

Cite this

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title = "A Regularity Criterion for the Density-Dependent Magnetohydrodynamics System in Critical Besov Spaces",

abstract = "In this paper, we study the Cauchy problem for incompressible density-dependent magnetohydrodynamics system in RN(N≥2). We prove the regularity criterion of solutions in the critical Besov spaces. For the proof of the results we use the commutator estimate and product estimate for nonlinear term.",

author = "Ryosuke Nakasato",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Switzerland AG.",

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N2 - In this paper, we study the Cauchy problem for incompressible density-dependent magnetohydrodynamics system in RN(N≥2). We prove the regularity criterion of solutions in the critical Besov spaces. For the proof of the results we use the commutator estimate and product estimate for nonlinear term.

AB - In this paper, we study the Cauchy problem for incompressible density-dependent magnetohydrodynamics system in RN(N≥2). We prove the regularity criterion of solutions in the critical Besov spaces. For the proof of the results we use the commutator estimate and product estimate for nonlinear term.

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A Regularity Criterion for the Density-Dependent Magnetohydrodynamics System in Critical Besov Spaces

Abstract

ASJC Scopus subject areas

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