A Classical Blow up Criterion to Cauchy Problem for 
the Micropolar Fluid Flows

Songshang Yang

doi:https://doi.org/10.14445/22315373/IJMTT-V70I3P104

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 70 | Issue 3 | Year 2024 | Article Id. IJMTT-V70I3P104 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I3P104

A Classical Blow up Criterion to Cauchy Problem for the Micropolar Fluid Flows

Songshang Yang

Received	Revised	Accepted	Published
18 Jan 2024	27 Feb 2024	05 Apr 2024	30 Mar 2024

Abstract

In this paper, we discuss the cauchy problem of the viscous micropolar fluid flow model in 2D. This note obtains a classical regularity blow up criterion for the two-dimensional micropolar fluid flows. When the inital data is allowed to the suitable Sobolev space, for the life span 𝑇 𝑚𝑎𝑥 , it is worth noting that the result holds ∫ ‖𝛻𝑢(𝑡)‖𝐿∞𝑑𝑡 = 0 𝑇𝑚𝑎𝑥 0 .

Keywords

Micropolar fluid flow, blow up criterion, suitable Sobolev space, the life span.

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Citation :

Songshang Yang, "A Classical Blow up Criterion to Cauchy Problem for the Micropolar Fluid Flows," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 3, pp. 23-28, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I3P104