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Global well-posedness
for the 3D rotating Navier–Stokes equations with highly
oscillating initial data
Qionglei Chen, Changxing Miao and Zhifei Zhang |
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Vol. 262 (2013), No. 2, 263–283
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Abstract |
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We prove the global well-posedness for the 3D rotating Navier–Stokes equations in the critical functional framework. This result allows us to construct global solutions for a class of highly oscillating initial data. |
Keywords
rotating Navier–Stokes equations, global well-posedness,
Besov space, highly oscillating
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Mathematical Subject Classification 2000
Primary: 35Q30
Secondary: 35D10
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Milestones
Received: 14 February 2012
Revised: 18 December 2012
Accepted: 8 January 2013
Published: 16 April 2013
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Authors |
| Qionglei Chen | |
| Institute of Applied Physics and
Computational Mathematics 100088 Beijing China |
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| Changxing Miao | |
| Institute of Applied Physics and
Computational Mathematics 100088 Beijing China |
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| Zhifei Zhang | |
| School of Mathematical
Sciences Peking University 100871 Beijing China |
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