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Uniform regularity for a two-phase model with magnetic field

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Abstract

This paper proves the uniform regularity of strong solutions to a two-phase model with magnetic field, which plays an important role in the vanishing viscosity limit.

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Acknowledgements

The authors are grateful to the referees and the editors whose comments and suggestions greatly improved the presentation of this paper. Jishan Fan is partially supported by NSFC Grant No. 11971234. Tong Tang is partially supported by NSF of Jiangsu Province Grant No. BK20221369.

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Authors and Affiliations

  1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, People’s Republic of China

    Jishan Fan

  2. Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

    Gen Nakamura

  3. School of Mathematical Science, Yangzhou University, Yangzhou, 225002, People’s Republic of China

    Tong Tang

Authors
  1. Jishan Fan
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  2. Gen Nakamura
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  3. Tong Tang
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Corresponding author

Correspondence to Tong Tang.

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Fan, J., Nakamura, G. & Tang, T. Uniform regularity for a two-phase model with magnetic field. Eur. Phys. J. Plus 137, 1279 (2022). https://doi.org/10.1140/epjp/s13360-022-03490-0

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