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| On Mixed Pressure-Velocity Regularity Criteria to the Navier-stokes Equations in Lorentz Spaces,Part Ⅱ:The Non-slip Boundary Value Problem | |
| 引用本文： | Hugo BEIRA?O DA VEIGA,Jiaqi YANG.On Mixed Pressure-Velocity Regularity Criteria to the Navier-stokes Equations in Lorentz Spaces,Part Ⅱ:The Non-slip Boundary Value Problem[J].数学年刊B辑(英文版),2022,43(1):51-58. |
| 作者姓名： | Hugo BEIRA?O DA VEIGA Jiaqi YANG |
| 作者单位： | Department of Mathematics, Pisa University, Pisa, Italy.; School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an 710129, China. |
| 基金项目： | This work was supported by the Fundacao para a Ciencia e a Tecnologia of Portugal(No.UIDB/MAT/04561/2020);the National Natural Science Foundation of China(No.12001429). |
| 摘 要： | This paper is a continuation of the authors recent work Beir?o da Veiga, H.and Yang, J., On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces, Chin. Ann. Math., 42(1), 2021, 1–16], in which mixed pressure-velocity criteria in Lorentz spaces for Leray-Hopf weak solutions of the three-dimensional NavierStokes equations, in the whole space R~3 and in the periodic torus T~3, are established. The purpose of the present work is to extend the result of mentio... |
| 关 键 词： | Navier-Stokes equations Pressure-speed links Regularity criteria Lorentz spaces Boundary value problem |
| 收稿时间： | 2020/12/10 0:00:00 |
| 修稿时间： | 2021/1/27 0:00:00 |
On Mixed Pressure-Velocity Regularity Criteria to the Navier-stokes Equations in Lorentz Spaces, Part II: The Non-slip Boundary Value Problem* |
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| Hugo BEIRA?O DA VEIGA,Jiaqi YANG.On Mixed Pressure-Velocity Regularity Criteria to the Navier-stokes Equations in Lorentz Spaces, Part II: The Non-slip Boundary Value Problem*[J].Chinese Annals of Mathematics,Series B,2022,43(1):51-58. | |
| Authors: | Hugo BEIRA?O DA VEIGA Jiaqi YANG |
| Institution: | 1.Department of Mathematics, Pisa University, Pisa, Italy ;2.School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an, 710129, China ; |
| Abstract: | |
| Keywords: | Navier-Stokes equations Pressure-speed links Regularity criteria Lorentz spaces Boundary value problem |
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