Debussche, Arnaud Ergodicity results for the stochastic Navier-Stokes equations: an introduction. (English) Zbl 1301.35086 Flandoli, Franco (ed.) et al., Topics in mathematical fluid mechanics. Notes of the CIME course, Cetraro, Italy, September 2010. Berlin: Springer; Florence: Fondazione CIME (ISBN 978-3-642-36296-5/pbk; 978-3-642-36297-2/ebook). Lecture Notes in Mathematics 2073. CIME Foundation Subseries, 23-108 (2013). MSC: 35Q30 76D06 35R60 76D03 35D30 35D35 PDFBibTeX XMLCite \textit{A. Debussche}, Lect. Notes Math. 2073, 23--108 (2013; Zbl 1301.35086) Full Text: DOI
Albeverio, Sergio; Debussche, Arnaud; Xu, Lihu Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises. (English) Zbl 1303.60051 Appl. Math. Optim. 66, No. 2, 273-308 (2012). MSC: 60H15 76D05 35R60 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Appl. Math. Optim. 66, No. 2, 273--308 (2012; Zbl 1303.60051) Full Text: DOI arXiv
Da Prato, Giuseppe; Debussche, Arnaud On the martingale problem associated to the 2D and 3D stochastic Navier-Stokes equations. (English) Zbl 1194.76033 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 19, No. 3, 247-264 (2008). MSC: 76D05 60H15 37A25 PDFBibTeX XMLCite \textit{G. Da Prato} and \textit{A. Debussche}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 19, No. 3, 247--264 (2008; Zbl 1194.76033) Full Text: DOI arXiv Link
Da Prato, Giuseppe; Debussche, Arnaud 2D stochastic Navier-Stokes equations with a time-periodic forcing term. (English) Zbl 1154.35099 J. Dyn. Differ. Equations 20, No. 2, 301-335 (2008). Reviewer: Feng-Yu Wang (Swansea) MSC: 35R60 35Q30 35B40 37A60 37A25 PDFBibTeX XMLCite \textit{G. Da Prato} and \textit{A. Debussche}, J. Dyn. Differ. Equations 20, No. 2, 301--335 (2008; Zbl 1154.35099) Full Text: DOI
Barbu, Viorel; Da Prato, Giuseppe; Debussche, Arnaud The Kolmogorov equation associated to the stochastic Navier-Stokes equations in 2D. (English) Zbl 1085.60041 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 2, 163-182 (2004). Reviewer: Michael Röckner (Bielefeld) MSC: 60H15 35Q30 35R60 76D05 76M35 PDFBibTeX XMLCite \textit{V. Barbu} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 2, 163--182 (2004; Zbl 1085.60041) Full Text: DOI
Da Prato, Giuseppe; Debussche, Arnaud Two-dimensional Navier-Stokes equations driven by a space-time white noise. (English) Zbl 1013.60051 J. Funct. Anal. 196, No. 1, 180-210 (2002). Reviewer: Stanisław Wedrychowicz (Rzeszów) MSC: 60H40 35Q30 35R60 76D05 76M35 PDFBibTeX XMLCite \textit{G. Da Prato} and \textit{A. Debussche}, J. Funct. Anal. 196, No. 1, 180--210 (2002; Zbl 1013.60051) Full Text: DOI