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Ergodicity of 2D singular
stochastic Navier–Stokes equations
Martin Hairer and Wenhao Zhao |
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Vol. 6 (2025), No. 3, 777–818
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Abstract |
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We consider the 2D stochastic Navier–Stokes equations driven by noise that have the regularity of space-time white noise but don’t exactly coincide with it. We show that, provided that the intensity of the noise is sufficiently weak at high frequencies, this system admits uniform bounds in time, so that it has an invariant measure for which we obtain stretched exponential tail bounds. |
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Keywords
singular SPDEs, ergodicity, stochastic Navier–Stokes
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Mathematical Subject Classification
Primary: 60H17
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Milestones
Received: 5 November 2024
Revised: 5 February 2025
Accepted: 8 April 2025
Published: 12 May 2025
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Authors |
| Martin Hairer | |
| EPFL SB Math Propde Lausanne Switzerland |
Department of Mathematics Imperial College London London United Kingdom |
| Wenhao Zhao | |
| EPFL SB Math Propde Lausanne Switzerland |
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| © 2025 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
