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The quasi-neutral limit of the compressible magnetohydrodynamic flows for ionic dynamics

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대한수학회 (The Korean Mathematical Society)|2019.11|대한수학회지 (Journal of the KMS)|제56권 제6호|pp. 1641-1654|DOI 10.4134/JKMS.j180848

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참고문헌

키워드

compressible magnetohydrodynamic flowsquasi-neutral limitrelative entropy
주제분류수학

초록

In this paper we study the quasi-neutral limit of the compressible magnetohydrodynamic flows in the periodic domain $\mathbb{T}^3$ with the well-prepared initial data. We prove that the weak solution of the compressible magnetohydrodynamic flows governed by the Poisson equation converges to the strong solution of the compressible flow of magnetohydrodynamic flows as long as the latter exists.

Abstract

In this paper we study the quasi-neutral limit of the compressible magnetohydrodynamic flows in the periodic domain $\mathbb{T}^3$ with the well-prepared initial data. We prove that the weak solution of the compressible magnetohydrodynamic flows governed by the Poisson equation converges to the strong solution of the compressible flow of magnetohydrodynamic flows as long as the latter exists.

참고문헌 (18)

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