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| Remarks on the Global Existence for Incompressible Navier-Stokes Equations |
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Citation： |
Sheng WANG,Zexian ZHANG,Yi ZHOU.Remarks on the Global Existence for Incompressible Navier-Stokes Equations[J].Chinese Annals of Mathematics B,2024,45(4):529~536 |
| Page view： 486
Net amount： 204 |
Authors： |
Sheng WANG; Zexian ZHANG;Yi ZHOU |
Foundation： |
the National Natural Science Foundation of China (No. 12171097), the
Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), the Ministry of Education
of China, Shanghai Key Laboratory for Contemporary Applied Mathematics and Shanghai Science and
Technology Program (No. 21JC1400600). |
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| Abstract： |
In this article, the authors use the special structure of helicity for the threedimensional incompressible Navier-Stokes equations to construct a family of finite energy
smooth solutions to the Navier-Stokes equations which critical norms can be arbitrarily
large. |
Keywords： |
Navier-Stokes euqations, Helicity, Global existence, Critical norm |
Classification： |
17B40, 17B50 |
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