Chen, Zhang; Sun, Xiaoxiao; Yang, Dandan Central limit theorems and moderate deviations for stochastic reaction-diffusion lattice systems. (English) Zbl 07799943 J. Stat. Phys. 191, No. 2, Paper No. 14, 28 p. (2024). MSC: 37L55 60F05 60F10 60H10 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Stat. Phys. 191, No. 2, Paper No. 14, 28 p. (2024; Zbl 07799943) Full Text: DOI
Caraballo, Tomás; Chen, Zhang; Yang, Dandan Random dynamics and limiting behaviors for 3D globally modified Navier-Stokes equations driven by colored noise. (English) Zbl 07778799 Stud. Appl. Math. 151, No. 1, 247-284 (2023). MSC: 37L55 37L40 37L30 35Q35 35Q30 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Stud. Appl. Math. 151, No. 1, 247--284 (2023; Zbl 07778799) Full Text: DOI
Caraballo, Tomás; Chen, Zhang; Yang, Dandan Stochastic 3D globally modified Navier-Stokes equations: weak attractors, invariant measures and large deviations. (English) Zbl 1522.35357 Appl. Math. Optim. 88, No. 3, Paper No. 74, 46 p. (2023). MSC: 35Q30 35B41 37L40 60F10 60H15 35B40 35A01 35A02 35R06 35R60 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Appl. Math. Optim. 88, No. 3, Paper No. 74, 46 p. (2023; Zbl 1522.35357) Full Text: DOI
Almeida, Adilson; Cipriano, Fernanda A large deviation principle for fluids of third grade. (English) Zbl 1518.60034 Stochastics 95, No. 5, 906-940 (2023). MSC: 60F10 76A05 60H15 60H30 37L55 PDFBibTeX XMLCite \textit{A. Almeida} and \textit{F. Cipriano}, Stochastics 95, No. 5, 906--940 (2023; Zbl 1518.60034) Full Text: DOI
Wang, Renhai; Kinra, Kush; Mohan, Manil T. Asymptotically autonomous robustness in probability of random attractors for stochastic Navier-Stokes equations on unbounded Poincaré domains. (English) Zbl 1523.37081 SIAM J. Math. Anal. 55, No. 4, 2644-2676 (2023). MSC: 37L55 37L30 35Q30 35B41 35B40 35R60 60H15 PDFBibTeX XMLCite \textit{R. Wang} et al., SIAM J. Math. Anal. 55, No. 4, 2644--2676 (2023; Zbl 1523.37081) Full Text: DOI arXiv
Kinra, Kush; Mohan, Manil T. Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole space. (English) Zbl 07675602 Differ. Integral Equ. 36, No. 5-6, 367-412 (2023). MSC: 35B41 35Q35 37L55 37N10 35R60 PDFBibTeX XMLCite \textit{K. Kinra} and \textit{M. T. Mohan}, Differ. Integral Equ. 36, No. 5--6, 367--412 (2023; Zbl 07675602) Full Text: DOI arXiv
Kumar, Ankit; Mohan, Manil T. Large deviation principle for occupation measures of two dimensional stochastic convective Brinkman-Forchheimer equations. (English) Zbl 1512.60019 Stochastic Anal. Appl. 41, No. 2, 214-256 (2023). Reviewer: Ludwig Paditz (Dresden) MSC: 60F10 60J35 60H40 76D03 37L40 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{M. T. Mohan}, Stochastic Anal. Appl. 41, No. 2, 214--256 (2023; Zbl 1512.60019) Full Text: DOI arXiv
Chen, Pengyu; Freitas, Mirelson M.; Zhang, Xuping Random attractor, invariant measures, and ergodicity of lattice \(p\)-Laplacian equations driven by superlinear noise. (English) Zbl 1522.37082 J. Geom. Anal. 33, No. 3, Paper No. 98, 46 p. (2023). Reviewer: Jonas M. Tölle (Aalto) MSC: 37L55 37L30 37L40 35K65 60H15 35R02 PDFBibTeX XMLCite \textit{P. Chen} et al., J. Geom. Anal. 33, No. 3, Paper No. 98, 46 p. (2023; Zbl 1522.37082) Full Text: DOI
Grasselli, Maurizio; Poiatti, Andrea A phase separation model for binary fluids with hereditary viscosity. (English) Zbl 07812762 Math. Methods Appl. Sci. 45, No. 17, 11031-11066 (2022). MSC: 35Q35 37L30 76A10 76T06 PDFBibTeX XMLCite \textit{M. Grasselli} and \textit{A. Poiatti}, Math. Methods Appl. Sci. 45, No. 17, 11031--11066 (2022; Zbl 07812762) Full Text: DOI
Mohan, Manil T. The \(\mathbb{H}^1 \)-compact global attractor for two-dimensional convective Brinkman-Forchheimer equations in unbounded domains. (English) Zbl 1505.37091 J. Dyn. Control Syst. 28, No. 4, 791-816 (2022). MSC: 37L30 35Q35 35Q30 35B40 PDFBibTeX XMLCite \textit{M. T. Mohan}, J. Dyn. Control Syst. 28, No. 4, 791--816 (2022; Zbl 1505.37091) Full Text: DOI
Mohan, Manil T. Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with “Fading memory”. (English) Zbl 1498.37118 Evol. Equ. Control Theory 11, No. 1, 125-167 (2022). Reviewer: Joseph Shomberg (Providence) MSC: 37L30 35Q35 35Q30 35B40 PDFBibTeX XMLCite \textit{M. T. Mohan}, Evol. Equ. Control Theory 11, No. 1, 125--167 (2022; Zbl 1498.37118) Full Text: DOI
Zhang, Rangrang Existence and uniqueness of invariant measures of 3D stochastic MHD-\(\alpha\) model driven by degenerate noise. (English) Zbl 1485.60063 Appl. Anal. 101, No. 2, 629-654 (2022). MSC: 60H15 35B40 37A25 37L55 PDFBibTeX XMLCite \textit{R. Zhang}, Appl. Anal. 101, No. 2, 629--654 (2022; Zbl 1485.60063) Full Text: DOI
Mohan, Manil T. Large deviation principle for stochastic convective Brinkman-Forchheimer equations perturbed by pure jump noise. (English) Zbl 1489.60118 J. Evol. Equ. 21, No. 4, 4931-4971 (2021). Reviewer: Manuel D. Domínguez de la Iglesia (Ciudad de México) MSC: 60H15 60F10 60J74 35R60 35Q30 76D05 37L55 PDFBibTeX XMLCite \textit{M. T. Mohan}, J. Evol. Equ. 21, No. 4, 4931--4971 (2021; Zbl 1489.60118) Full Text: DOI
Mohan, Manil T. Wentzell-Freidlin large deviation principle for stochastic convective Brinkman-Forchheimer equations. (English) Zbl 1467.60049 J. Math. Fluid Mech. 23, No. 3, Paper No. 62, 44 p. (2021). MSC: 60H15 35R60 35Q30 76D05 37L55 PDFBibTeX XMLCite \textit{M. T. Mohan}, J. Math. Fluid Mech. 23, No. 3, Paper No. 62, 44 p. (2021; Zbl 1467.60049) Full Text: DOI arXiv
Farkas, Bálint; Friesen, Martin; Rüdiger, Barbara; Schroers, Dennis On a class of stochastic partial differential equations with multiple invariant measures. (English) Zbl 1469.37055 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 3, Paper No. 28, 46 p. (2021). MSC: 37L55 37L40 60H15 35R60 PDFBibTeX XMLCite \textit{B. Farkas} et al., NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 3, Paper No. 28, 46 p. (2021; Zbl 1469.37055) Full Text: DOI arXiv
Zhang, Yanjie; Qiao, Huijie; Duan, Jinqiao Effective filtering analysis for non-Gaussian dynamic systems. (English) Zbl 1470.60172 Appl. Math. Optim. 83, No. 1, 437-459 (2021). MSC: 60H10 37D10 70K70 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Optim. 83, No. 1, 437--459 (2021; Zbl 1470.60172) Full Text: DOI arXiv
Chen, Lifeng; Dong, Zhao; Jiang, Jifa; Zhai, Jianliang On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity. (English) Zbl 1467.60026 Sci. China, Math. 63, No. 8, 1463-1504 (2020). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 60G10 60H30 60H10 60H15 34K50 37L40 37A25 60G65 60B10 PDFBibTeX XMLCite \textit{L. Chen} et al., Sci. China, Math. 63, No. 8, 1463--1504 (2020; Zbl 1467.60026) Full Text: DOI arXiv
Mohan, Manil T. Global and exponential attractors for the 3D Kelvin-Voigt-Brinkman-Forchheimer equations. (English) Zbl 1447.37064 Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3393-3436 (2020). MSC: 37L30 35Q35 35Q30 35B40 PDFBibTeX XMLCite \textit{M. T. Mohan}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3393--3436 (2020; Zbl 1447.37064) Full Text: DOI
Qiao, Huijie Effective filtering for multiscale stochastic dynamical systems in Hilbert spaces. (English) Zbl 1440.37057 J. Math. Anal. Appl. 487, No. 2, Article ID 123979, 22 p. (2020). Reviewer: George Stoica (Saint John) MSC: 37H05 37H30 70K70 PDFBibTeX XMLCite \textit{H. Qiao}, J. Math. Anal. Appl. 487, No. 2, Article ID 123979, 22 p. (2020; Zbl 1440.37057) Full Text: DOI arXiv
Yamazaki, Kazuo Ergodicity of a Galerkin approximation of three-dimensional magnetohydrodynamics system forced by a degenerate noise. (English) Zbl 1493.35085 Stochastics 91, No. 1, 114-142 (2019). MSC: 35Q35 37L55 60H15 PDFBibTeX XMLCite \textit{K. Yamazaki}, Stochastics 91, No. 1, 114--142 (2019; Zbl 1493.35085) Full Text: DOI arXiv
Yamazaki, Kazuo; Mohan, Manil T. Well-posedness of Hall-magnetohydrodynamics system forced by Lévy noise. (English) Zbl 1431.60065 Stoch. Partial Differ. Equ., Anal. Comput. 7, No. 3, 331-378 (2019). MSC: 60H15 35Q35 37L55 76W05 PDFBibTeX XMLCite \textit{K. Yamazaki} and \textit{M. T. Mohan}, Stoch. Partial Differ. Equ., Anal. Comput. 7, No. 3, 331--378 (2019; Zbl 1431.60065) Full Text: DOI
Yamazaki, Kazuo Gibbsian dynamics and ergodicity of magnetohydrodynamics and related systems forced by random noise. (English) Zbl 1416.35222 Stochastic Anal. Appl. 37, No. 3, 412-444 (2019). MSC: 35Q35 37L55 60H15 76W05 76D05 76A05 86A05 86A10 35Q86 PDFBibTeX XMLCite \textit{K. Yamazaki}, Stochastic Anal. Appl. 37, No. 3, 412--444 (2019; Zbl 1416.35222) Full Text: DOI
Yamazaki, Kazuo Large deviation principle for the micropolar, magneto-micropolar fluid systems. (English) Zbl 1395.35167 Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 913-938 (2018). MSC: 35Q35 37L55 60F10 PDFBibTeX XMLCite \textit{K. Yamazaki}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 913--938 (2018; Zbl 1395.35167) Full Text: DOI
Zhai, Jianliang; Zhang, Tusheng; Zheng, Wuting Moderate deviations for stochastic models of two-dimensional second grade fluids. (English) Zbl 1396.60075 Stoch. Dyn. 18, No. 3, Article ID 1850026, 46 p. (2018). MSC: 60H15 60F05 60F10 35R60 37L55 PDFBibTeX XMLCite \textit{J. Zhai} et al., Stoch. Dyn. 18, No. 3, Article ID 1850026, 46 p. (2018; Zbl 1396.60075) Full Text: DOI arXiv
Zhai, Jianliang; Zhang, Tusheng Large deviations for stochastic models of two-dimensional second grade fluids. (English) Zbl 1370.60049 Appl. Math. Optim. 75, No. 3, 471-498 (2017). MSC: 60F10 60H15 35R60 37L55 76A05 PDFBibTeX XMLCite \textit{J. Zhai} and \textit{T. Zhang}, Appl. Math. Optim. 75, No. 3, 471--498 (2017; Zbl 1370.60049) Full Text: DOI arXiv
Yamazaki, Kazuo Stochastic Hall-magneto-hydrodynamics system in three and two and a half dimensions. (English) Zbl 1364.35288 J. Stat. Phys. 166, No. 2, 368-397 (2017). MSC: 35Q35 37L55 60H15 76W05 PDFBibTeX XMLCite \textit{K. Yamazaki}, J. Stat. Phys. 166, No. 2, 368--397 (2017; Zbl 1364.35288) Full Text: DOI
Caraballo, Tomás; Han, Xiaoying A survey on Navier-Stokes models with delays: existence, uniqueness and asymptotic behavior of solutions. (English) Zbl 1406.35221 Discrete Contin. Dyn. Syst., Ser. S 8, No. 6, 1079-1101 (2015). MSC: 35Q30 35-02 35A01 35A02 35B40 37H10 76D05 PDFBibTeX XMLCite \textit{T. Caraballo} and \textit{X. Han}, Discrete Contin. Dyn. Syst., Ser. S 8, No. 6, 1079--1101 (2015; Zbl 1406.35221) Full Text: DOI
Brzeźniak, Z.; Goldys, B.; Le Gia, Q. T. Random dynamical systems generated by stochastic Navier-Stokes equations on a rotating sphere. (English) Zbl 1322.60102 J. Math. Anal. Appl. 426, No. 1, 505-545 (2015). MSC: 60H15 60H10 37H10 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., J. Math. Anal. Appl. 426, No. 1, 505--545 (2015; Zbl 1322.60102) Full Text: DOI arXiv
Mohammed, Salah-Eldin A. Invariant manifolds for stochastic models in fluid dynamics. (English) Zbl 1247.60094 Stoch. Dyn. 11, No. 2-3, 439-459 (2011). Reviewer: Kai Liu (Liverpool) MSC: 60H15 60F10 35Q30 37N10 PDFBibTeX XMLCite \textit{S.-E. A. Mohammed}, Stoch. Dyn. 11, No. 2--3, 439--459 (2011; Zbl 1247.60094) Full Text: DOI
Maroulas, Vasileios Large deviations for infinite-dimensional stochastic systems with jumps. (English) Zbl 1210.60030 Mathematika 57, No. 1, 175-192 (2011). Reviewer: George Stoica (Saint John) MSC: 60F10 37L55 PDFBibTeX XMLCite \textit{V. Maroulas}, Mathematika 57, No. 1, 175--192 (2011; Zbl 1210.60030) Full Text: DOI arXiv
Liu, Wei; Röckner, Michael SPDE in Hilbert space with locally monotone coefficients. (English) Zbl 1236.60064 J. Funct. Anal. 259, No. 11, 2902-2922 (2010). Reviewer: Dirk Blömker (Augsburg) MSC: 60H15 35R60 37L55 PDFBibTeX XMLCite \textit{W. Liu} and \textit{M. Röckner}, J. Funct. Anal. 259, No. 11, 2902--2922 (2010; Zbl 1236.60064) Full Text: DOI arXiv
Mohammed, Salah; Zhang, Tusheng Dynamics of stochastic 2D Navier-Stokes equations. (English) Zbl 1213.60107 J. Funct. Anal. 258, No. 10, 3543-3591 (2010). Reviewer: A. Réveillac (Berlin) MSC: 60H15 76D05 37L55 PDFBibTeX XMLCite \textit{S. Mohammed} and \textit{T. Zhang}, J. Funct. Anal. 258, No. 10, 3543--3591 (2010; Zbl 1213.60107) Full Text: DOI
Wang, Wei; Duan, Jinqiao Reductions and deviations for stochastic partial differential equations under fast dynamical boundary conditions. (English) Zbl 1166.60038 Stochastic Anal. Appl. 27, No. 3, 431-459 (2009). MSC: 60H15 37H10 35R60 34D35 PDFBibTeX XMLCite \textit{W. Wang} and \textit{J. Duan}, Stochastic Anal. Appl. 27, No. 3, 431--459 (2009; Zbl 1166.60038) Full Text: DOI arXiv
Budhiraja, Amarjit; Dupuis, Paul; Maroulas, Vasileios Large deviations for infinite dimensional stochastic dynamical systems. (English) Zbl 1155.60024 Ann. Probab. 36, No. 4, 1390-1420 (2008). Reviewer: Dirk Blömker (Augsburg) MSC: 60H15 60F10 37L55 PDFBibTeX XMLCite \textit{A. Budhiraja} et al., Ann. Probab. 36, No. 4, 1390--1420 (2008; Zbl 1155.60024) Full Text: DOI arXiv