Global existence and large time behavior of solutions to the electric-magnetohydrodynamic equations

Dong Fen Bian; Boling Guo

doi:10.3934/krm.2013.6.481

Global existence and large time behavior of solutions to the electric-magnetohydrodynamic equations

Dong Fen Bian^*, Boling Guo

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

We are concerned with global existence and large-time behavior of solutions to the isentropic electric-magnetohydrodynamic equations in a bounded domain Ω ⊆ ℝ^N, N = 2, 3. We establish the existence and large-time behavior of global weak solutions through a three-level approximation, energy estimates on condition that the adiabatic constant satisfies γ > 3/2.

Original language	English
Pages (from-to)	481-503
Number of pages	23
Journal	Kinetic and Related Models
Volume	6
Issue number	3
DOIs	https://doi.org/10.3934/krm.2013.6.481
Publication status	Published - 2013
Externally published	Yes

Keywords

Electric-magnetohydrodynamic equations
Global existence
Isentropic fuids
Large-time behavior

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10.3934/krm.2013.6.481

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abstract = "We are concerned with global existence and large-time behavior of solutions to the isentropic electric-magnetohydrodynamic equations in a bounded domain Ω ⊆ ℝN, N = 2, 3. We establish the existence and large-time behavior of global weak solutions through a three-level approximation, energy estimates on condition that the adiabatic constant satisfies γ > 3/2.",

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AB - We are concerned with global existence and large-time behavior of solutions to the isentropic electric-magnetohydrodynamic equations in a bounded domain Ω ⊆ ℝN, N = 2, 3. We establish the existence and large-time behavior of global weak solutions through a three-level approximation, energy estimates on condition that the adiabatic constant satisfies γ > 3/2.

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KW - Global existence

KW - Isentropic fuids

KW - Large-time behavior

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Global existence and large time behavior of solutions to the electric-magnetohydrodynamic equations

Abstract

Keywords

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