Existence of regular solutions for a certain type of non-Newtonian fluids

Kyungkeun Kang; Hwa Kil Kim; Jae Myoung Kim

doi:10.1007/s00033-019-1167-2

Existence of regular solutions for a certain type of non-Newtonian fluids

Kyungkeun Kang, Hwa Kil Kim, Jae Myoung Kim

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We are concerned with existence of regular solutions for non-Newtonian fluids in dimension three. For a certain type of non-Newtonian fluids, we prove local existence of unique regular solutions, provided that the initial data are sufficiently smooth. Moreover, if the H³-norm of initial data is sufficiently small, then the regular solution exists globally in time.

Original language	English
Article number	124
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	70
Issue number	4
DOIs	https://doi.org/10.1007/s00033-019-1167-2
Publication status	Published - 2019 Aug 1

Bibliographical note

Funding Information:
Kyungkeun Kang’s work is partially supported by NRF-2017R1A2B4006484 and NRF-2015R1A5A1009350 and is also supported in part by the Yonsei University Challenge of 2017. Hwa Kil Kim’s work is supported by 2019 Hannam University Research Fund. Jae-Myoung Kim’s work is supported by NRF-2015R1A5A1009350 and NRF-2016R1D1A1B03930422.

Funding Information:
Kyungkeun Kang’s work is partially supported by NRF-2017R1A2B4006484 and NRF-2015R1A5A1009350 and is also supported in part by the Yonsei University Challenge of 2017. Hwa Kil Kim’s work is supported by 2019 Hannam University Research Fund. Jae-Myoung Kim’s work is supported by NRF-2015R1A5A1009350 and NRF-2016R1D1A1B03930422.

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

All Science Journal Classification (ASJC) codes

Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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10.1007/s00033-019-1167-2

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abstract = "We are concerned with existence of regular solutions for non-Newtonian fluids in dimension three. For a certain type of non-Newtonian fluids, we prove local existence of unique regular solutions, provided that the initial data are sufficiently smooth. Moreover, if the H3-norm of initial data is sufficiently small, then the regular solution exists globally in time.",

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Existence of regular solutions for a certain type of non-Newtonian fluids

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Bibliographical note

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