Navier-Stokes-Cahn-Hillard方程在Morrey-Campanato空间中的正则性准则
Regularity Criteria for the Navier-Stokes-Cahn-Hillard Equation in the Morrey-Campanato Space
摘要: 本文给出了Navier-Stokes-Cahn-Hillard方程在三维Morrey-Campanato空间中解的一个正则性准则，利用了Gagliardo-Nirenberg不等式、Sobolev嵌入定理、插值不等式以及先验估计等。
Abstract: This paper gives a regularity criterion for the Navier-Stokes-Cahn-Hillard equation in the 3D Morrey-Campanato space which uses Gagliardo-Nirenberg inequality, Sobolev embedding theorem, interpolation inequality, and prior estimates.
文章引用：王乙竹, 宋悦. Navier-Stokes-Cahn-Hillard方程在Morrey-Campanato空间中的正则性准则[J]. 应用数学进展, 2021, 10(6): 2095-2104. https://doi.org/10.12677/AAM.2021.106219

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