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<p>In this paper we prove several new Prodi–Serrin type regularity criteria with weak Lebesgue integrability in both space and time for 3D micropolar equations with the fractional diffusions in Lorentz spaces. These results are particularly noteworthy for extension results in Sobolev spaces to Lorentz spaces through the use of well-known tools from Lorentz spaces.</p>

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On regularity criteria for the 3D micropolar equations with the fractional diffusions in Lorentz spaces

  • 期刊论文

  • 发表日期：

    2026年2月22日

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  • Jae-Myoung Kim

摘要

In this paper we prove several new Prodi–Serrin type regularity criteria with weak Lebesgue integrability in both space and time for 3D micropolar equations with the fractional diffusions in Lorentz spaces. These results are particularly noteworthy for extension results in Sobolev spaces to Lorentz spaces through the use of well-known tools from Lorentz spaces.