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.
Bibliographical noteFunding Information:
We thank an anonymous referee for his/her making helpful suggestion and informing the result of . Kyungkeun Kang’s work is partially supported by NRF-2017R1A2B4006484 and is also supported in part by the Yonsei University Challenge of 2017. Jae-Myoung Kim’s work is supported by NRF-2015R1A5A1009350 and NRF-2016R1D1A1B03930422.
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All Science Journal Classification (ASJC) codes
- Applied Mathematics