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

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	190-197
Number of pages	8
Journal	Applicable Analysis
Volume	93
Issue number	1
DOIs	https://doi.org/10.1080/00036811.2013.766324
Publication status	Published - Jan 2014
Externally published	Yes

Keywords

blow-up
compressible MHD equations
isentropic fluids

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10.1080/00036811.2013.766324

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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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AU - Guo, Boling

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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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DO - 10.1080/00036811.2013.766324

M3 - Article

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SP - 190

EP - 197

JO - Applicable Analysis

JF - Applicable Analysis

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ER -

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

Abstract

Keywords

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