On the existence of unique global-in-time solutions and temporal decay rates of solutions to some non-Newtonian incompressible fluids

Hantaek Bae, Kyungkeun Kang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we deal with a class of incompressible non-Newtonian fluids. We first give some conditions to the viscous part of the stress tensor to set our model. We then show that there exists a unique regular solution globally in time if u0∈L2∩B˙∞,11 and is sufficiently small in B˙∞,11. We finally derive temporal decay rates of the solution which are consistent with the decay rates of the linear part of our model.

Original languageEnglish
Article number55
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume72
Issue number2
DOIs
Publication statusPublished - 2021 Apr

Bibliographical note

Funding Information:
H.B. was supported by NRF-2018R1D1A1B07049015. K. Kang was supported by NRF-2019R1A2C1084685 and NRF-20151009350.

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.

All Science Journal Classification (ASJC) codes

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

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