Abstract
In this paper, we prove a new blowup criterion for the strong solution to the Cauchy problem of three-dimensional micropolar fluid equation with vacuum. Specifically, we establish a blowup criterion in terms of \(L_{t}^{\infty }L_{x}^{q}\) of the density, where \(1< q<\infty \), and it is independent on the velocity of rotation of the microscopic particles.
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Hou, X., Xu, Y. A New Blowup Criterion to the Cauchy Problem for the Three-Dimensional Compressible Viscous Micropolar Fluids with Vacuum. Acta Appl Math 190, 9 (2024). https://doi.org/10.1007/s10440-024-00642-5
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DOI: https://doi.org/10.1007/s10440-024-00642-5