Existence of solutions for the magnetohydrodynamics with power-law type nonlinear viscous fluid

Kyungkeun Kang; Jae Myoung Kim

doi:10.1007/s00030-019-0557-7

Existence of solutions for the magnetohydrodynamics with power-law type nonlinear viscous fluid

Kyungkeun Kang, Jae Myoung Kim

Department of Mathematics

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

4 Citations (Scopus)

Abstract

We are concerned with the existence of solutions for the magnetohydrodynamics with power-law type nonlinear viscous fluid in R ³ . We construct weak solutions for q> 8 / 5 , and furthermore, in case q≥ 5 / 2 , we prove the existence of strong solutions.

Original language	English
Article number	11
Journal	Nonlinear Differential Equations and Applications
Volume	26
Issue number	2
DOIs	https://doi.org/10.1007/s00030-019-0557-7
Publication status	Published - 2019 Apr 1

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© 2019, Springer Nature Switzerland AG.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1007/s00030-019-0557-7

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title = "Existence of solutions for the magnetohydrodynamics with power-law type nonlinear viscous fluid",

abstract = " We are concerned with the existence of solutions for the magnetohydrodynamics with power-law type nonlinear viscous fluid in R 3 . We construct weak solutions for q> 8 / 5 , and furthermore, in case q≥ 5 / 2 , we prove the existence of strong solutions.",

author = "Kyungkeun Kang and Kim, {Jae Myoung}",

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doi = "10.1007/s00030-019-0557-7",

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AU - Kang, Kyungkeun

AU - Kim, Jae Myoung

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N2 - We are concerned with the existence of solutions for the magnetohydrodynamics with power-law type nonlinear viscous fluid in R 3 . We construct weak solutions for q> 8 / 5 , and furthermore, in case q≥ 5 / 2 , we prove the existence of strong solutions.

AB - We are concerned with the existence of solutions for the magnetohydrodynamics with power-law type nonlinear viscous fluid in R 3 . We construct weak solutions for q> 8 / 5 , and furthermore, in case q≥ 5 / 2 , we prove the existence of strong solutions.

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JO - Nonlinear Differential Equations and Applications

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Existence of solutions for the magnetohydrodynamics with power-law type nonlinear viscous fluid

Abstract

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