Blow-up of smooth solutions to the isentropic compressible MHD equations

Dongfen Bian; Boling Guo

doi:10.1080/00036811.2013.766324

Blow-up of smooth solutions to the isentropic compressible MHD equations

Dongfen Bian^*, Boling Guo

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摘要

This article studies the blow-up of smooth solutions to the isentropic compressible magnetohydrodynamic (MHD) equations (1.1) in ℝ^N, 2 ≤ N ≤ 3. We obtain that under physical conditions, if the initial density ρ0 and magnetic H₀ have compact support, then any smooth radially symmetric solutions (ρ, u, H)will blow up in finite time.

源语言	英语
页（从-至）	190-197
页数	8
期刊	Applicable Analysis
卷	93
期	1
DOI	https://doi.org/10.1080/00036811.2013.766324
出版状态	已出版 - 1月 2014
已对外发布	是

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abstract = "This article studies the blow-up of smooth solutions to the isentropic compressible magnetohydrodynamic (MHD) equations (1.1) in ℝN, 2 ≤ N ≤ 3. We obtain that under physical conditions, if the initial density ρ0 and magnetic H0 have compact support, then any smooth radially symmetric solutions (ρ, u, H)will blow up in finite time.",

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N2 - This article studies the blow-up of smooth solutions to the isentropic compressible magnetohydrodynamic (MHD) equations (1.1) in ℝN, 2 ≤ N ≤ 3. We obtain that under physical conditions, if the initial density ρ0 and magnetic H0 have compact support, then any smooth radially symmetric solutions (ρ, u, H)will blow up in finite time.

AB - This article studies the blow-up of smooth solutions to the isentropic compressible magnetohydrodynamic (MHD) equations (1.1) in ℝN, 2 ≤ N ≤ 3. We obtain that under physical conditions, if the initial density ρ0 and magnetic H0 have compact support, then any smooth radially symmetric solutions (ρ, u, H)will blow up in finite time.

KW - blow-up

KW - compressible MHD equations

KW - isentropic fluids

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Blow-up of smooth solutions to the isentropic compressible MHD equations

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