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Stochastic Analysis and Applications Volume 29, 2011 - Issue 4
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Original Articles

Stochastic Two-Dimensional Hydrodynamical Systems: Wong-Zakai Approximation and Support Theorem

Igor Chueshov Department of Mechanics and Mathematics, Kharkov National University, Kharkov, UkraineCorrespondence[email protected]
&
Annie Millet SAMM, EA 4543 Université Paris 1, Centre Pierre Mendès France, Paris, France and Laboratoire PMA (UMR 7599)
Pages 570-611 | Received 10 Jun 2010, Accepted 24 Nov 2010, Published online: 21 Jun 2011

Citations (16)

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Shihu Li & Yingchao Xie. (2020) Averaging principle for stochastic 3D fractional Leray-α model with a fast oscillation. Stochastic Analysis and Applications 38:2, pages 248-276.
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Cung The Anh & Nguyen Tien Da. (2017) The exponential behaviour and stabilizability of stochastic 2D hydrodynamical type systems. Stochastics 89:3-4, pages 593-618.
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Articles from other publishers (14)

Kush Kinra & Manil T. Mohan. (2022) Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations. Journal of Mathematical Analysis and Applications 515:2, pages 126438.
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Jie Xu & Jiayin Gong. (2022) Wong–Zakai approximations and support theorems for stochastic McKean–Vlasov equations. Forum Mathematicum 0:0.
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Andre Schenke. (2021) The stochastic tamed MHD equations: existence, uniqueness and invariant measures. Stochastics and Partial Differential Equations: Analysis and Computations 10:2, pages 475-515.
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Martin Hairer & Philipp Schönbauer. (2022) The support of singular stochastic partial differential equations. Forum of Mathematics, Pi 10.
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Wei Hong, Shihu Li & Wei Liu. (2020) Asymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noise. Journal of Evolution Equations 21:1, pages 419-440.
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C. T. Anh & N. T. Da. (2020) Random Attractors for 2D Stochastic Hydrodynamical-Type Systems. Ukrainian Mathematical Journal 71:12, pages 1888-1909.
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Rongchan Zhu & Xiangchan Zhu. (2018) Piecewise linear approximation for the dynamical $$\Phi_3^4$$Φ34 model. Science China Mathematics 63:2, pages 381-410.
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Martina Hofmanová, James-Michael Leahy & Torstein Nilssen. (2018) On the Navier–Stokes equation perturbed by rough transport noise. Journal of Evolution Equations 19:1, pages 203-247.
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Ting Ma & Rongchan Zhu. (2019) Wong–Zakai approximation and support theorem for SPDEs with locally monotone coefficients. Journal of Mathematical Analysis and Applications 469:2, pages 623-660.
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Gabriel Deugoué. (2017) Approximation of the stochastic 2D hydrodynamical type systems driven by non-Gaussian Lévy noise. Stochastics and Dynamics 17:06, pages 1750048.
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Nathan Glatt-Holtz, Roger Temam & Chuntian Wang. (2017) Time discrete approximation of weak solutions to stochastic equations of geophysical fluid dynamics and applications. Chinese Annals of Mathematics, Series B 38:2, pages 425-472.
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Zhongqiang Zhang & George Em KarniadakisZhongqiang Zhang & George Em Karniadakis. 2017. Numerical Methods for Stochastic Partial Differential Equations with White Noise. Numerical Methods for Stochastic Partial Differential Equations with White Noise 103 133 .
Zhongqiang Zhang & George Em KarniadakisZhongqiang Zhang & George Em Karniadakis. 2017. Numerical Methods for Stochastic Partial Differential Equations with White Noise. Numerical Methods for Stochastic Partial Differential Equations with White Noise 53 97 .
Hakima Bessaih & Paul André Razafimandimby. (2015) On the Rate of Convergence of the 2-D Stochastic Leray- $$\alpha $$ α Model to the 2-D Stochastic Navier–Stokes Equations with Multiplicative Noise. Applied Mathematics & Optimization 74:1, pages 1-25.
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