Chen, Zhang; Yang, Dandan; Zhong, Shitao Limiting dynamics for stochastic FitzHugh-Nagumo lattice systems in weighted spaces. (English) Zbl 07818462 J. Dyn. Differ. Equations 36, No. 1, 321-352 (2024). MSC: 37L40 37L55 60H10 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Dyn. Differ. Equations 36, No. 1, 321--352 (2024; Zbl 07818462) Full Text: DOI
Forlano, Justin; Tolomeo, Leonardo On the unique ergodicity for a class of 2 dimensional stochastic wave equations. (English) Zbl 07785449 Trans. Am. Math. Soc. 377, No. 1, 345-394 (2024). MSC: 35R60 35L15 35L71 37A25 60H15 PDFBibTeX XMLCite \textit{J. Forlano} and \textit{L. Tolomeo}, Trans. Am. Math. Soc. 377, No. 1, 345--394 (2024; Zbl 07785449) Full Text: DOI arXiv
Qin, Xiaolan; Wang, Renhai Global well-posedness, mean attractors and invariant measures of generalized reversible Gray-Scott lattice systems driven by nonlinear noise. (English) Zbl 07783067 Appl. Math. Optim. 89, No. 1, Paper No. 5, 46 p. (2024). MSC: 49K40 60H40 37H10 35B41 35K57 35B40 35R60 PDFBibTeX XMLCite \textit{X. Qin} and \textit{R. Wang}, Appl. Math. Optim. 89, No. 1, Paper No. 5, 46 p. (2024; Zbl 07783067) Full Text: DOI
Kinra, Kush; Mohan, Manil T. Random attractors and invariant measures for stochastic convective Brinkman-Forchheimer equations on 2D and 3D unbounded domains. (English) Zbl 1527.35087 Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 377-425 (2024). MSC: 35B41 35Q35 35R60 37L55 37N10 PDFBibTeX XMLCite \textit{K. Kinra} and \textit{M. T. Mohan}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 377--425 (2024; Zbl 1527.35087) Full Text: DOI arXiv
Wang, Renhai; Nane, Erkan; Tuan, Nguyen Huy Evolution systems of probability measures for nonautonomous Klein-Gordon Itô equations on \(\mathbb{Z}^N\). (English) Zbl 07793998 Bull. Sci. Math. 189, Article ID 103348, 31 p. (2023). MSC: 60H15 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{R. Wang} et al., Bull. Sci. Math. 189, Article ID 103348, 31 p. (2023; Zbl 07793998) Full Text: DOI
Chen, Zhang; Wang, Bixiang Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems. (English) Zbl 07781538 J. Dyn. Differ. Equations 35, No. 4, 3201-3240 (2023). MSC: 37L60 37L40 37L30 37L55 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{B. Wang}, J. Dyn. Differ. Equations 35, No. 4, 3201--3240 (2023; Zbl 07781538) 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
Neamţu, Alexandra; Seitz, Tim Stochastic evolution equations with rough boundary noise. (English) Zbl 07776711 SN Partial Differ. Equ. Appl. 4, No. 6, Paper No. 49, 27 p. (2023). MSC: 60G22 60L20 60L50 37H05 37L55 PDFBibTeX XMLCite \textit{A. Neamţu} and \textit{T. Seitz}, SN Partial Differ. Equ. Appl. 4, No. 6, Paper No. 49, 27 p. (2023; Zbl 07776711) Full Text: DOI arXiv OA License
Chen, Zhang; Lin, Wei; Yang, Dandan; Zuo, Xiaodong Random attractors and invariant measures for 3D stochastic globally modified Navier-Stokes equations with time-dependent delay and coefficient. (English) Zbl 07765958 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2721-2748 (2023). MSC: 37L40 37L30 37L55 35Q30 35B41 35Q35 PDFBibTeX XMLCite \textit{Z. Chen} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2721--2748 (2023; Zbl 07765958) 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
Kinra, Kush; Mohan, Manil T. Large time behavior of deterministic and stochastic 3D convective Brinkman-Forchheimer equations in periodic domains. (English) Zbl 1521.35049 J. Dyn. Differ. Equations 35, No. 3, 2355-2396 (2023). MSC: 35B41 35Q35 37L55 37N10 35R60 PDFBibTeX XMLCite \textit{K. Kinra} and \textit{M. T. Mohan}, J. Dyn. Differ. Equations 35, No. 3, 2355--2396 (2023; Zbl 1521.35049) Full Text: DOI arXiv
Chen, Zhang; Wang, Bixiang Asymptotic behavior of stochastic complex lattice systems driven by superlinear noise. (English) Zbl 1525.37083 J. Theor. Probab. 36, No. 3, 1487-1519 (2023). MSC: 37L60 37L40 37L55 60H10 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{B. Wang}, J. Theor. Probab. 36, No. 3, 1487--1519 (2023; Zbl 1525.37083) Full Text: DOI
Nguyen, Hung D. The small mass limit for long time statistics of a stochastic nonlinear damped wave equation. (English) Zbl 1525.37082 J. Differ. Equations 371, 481-548 (2023). MSC: 37L55 35R60 60H15 35L05 PDFBibTeX XMLCite \textit{H. D. Nguyen}, J. Differ. Equations 371, 481--548 (2023; Zbl 1525.37082) Full Text: DOI arXiv
Qiu, Zhaoyang; Wang, Huaqiao; Huang, Daiwen Invariant measure for 2D stochastic Cahn-Hilliard-Navier-Stokes equations. (English) Zbl 1521.60030 Stoch. Dyn. 23, No. 3, Article ID 2350030, 28 p. (2023). Reviewer: Guanggan Chen (Chengdu) MSC: 60H15 76D05 37L40 35Q30 35R60 PDFBibTeX XMLCite \textit{Z. Qiu} et al., Stoch. Dyn. 23, No. 3, Article ID 2350030, 28 p. (2023; Zbl 1521.60030) Full Text: DOI
Chen, Zhang; Yang, Dandan; Zhong, Shitao Weak mean attractor and periodic measure for stochastic lattice systems driven by Lévy noises. (English) Zbl 1521.37093 Stochastic Anal. Appl. 41, No. 3, 509-544 (2023). Reviewer: Xuping Zhang (Lanzhou) MSC: 37L60 37L40 37L55 60H10 60H15 PDFBibTeX XMLCite \textit{Z. Chen} et al., Stochastic Anal. Appl. 41, No. 3, 509--544 (2023; Zbl 1521.37093) Full Text: DOI
Chen, Zhang; Yang, Dandan Invariant measures and stochastic Liouville type theorem for non-autonomous stochastic reaction-diffusion equations. (English) Zbl 1515.37085 J. Differ. Equations 353, 225-267 (2023). Reviewer: Xuping Zhang (Lanzhou) MSC: 37L40 37L55 35B41 60H15 35R60 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{D. Yang}, J. Differ. Equations 353, 225--267 (2023; Zbl 1515.37085) Full Text: DOI
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
Chen, Zhang; Wang, Bixiang Existence, exponential mixing and convergence of periodic measures of fractional stochastic delay reaction-diffusion equations on \(\mathbb{R}^n\). (English) Zbl 1510.37116 J. Differ. Equations 336, 505-564 (2022). Reviewer: Martin Ondreját (Praha) MSC: 37L55 37L40 35R11 35K57 35R60 60H15 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{B. Wang}, J. Differ. Equations 336, 505--564 (2022; Zbl 1510.37116) Full Text: DOI
Chen, Zhang; Wang, Bixiang Limit measures and ergodicity of fractional stochastic reaction-diffusion equations on unbounded domains. (English) Zbl 1498.37119 Stoch. Dyn. 22, No. 2, Article ID 2140012, 30 p. (2022). MSC: 37L40 37L55 60H15 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{B. Wang}, Stoch. Dyn. 22, No. 2, Article ID 2140012, 30 p. (2022; Zbl 1498.37119) Full Text: DOI
Li, Dingshi; Wang, Bixiang; Wang, Xiaohu Limiting behavior of invariant measures of stochastic delay lattice systems. (English) Zbl 1502.37083 J. Dyn. Differ. Equations 34, No. 2, 1453-1487 (2022). Reviewer: Anhui Gu (Chongqing) MSC: 37L60 37L55 34F05 37L30 37L40 60H10 PDFBibTeX XMLCite \textit{D. Li} et al., J. Dyn. Differ. Equations 34, No. 2, 1453--1487 (2022; Zbl 1502.37083) Full Text: DOI
Brzeźniak, Zdzisław; Komorowski, Tomasz; Peszat, Szymon Ergodicity for stochastic equations of Navier-Stokes type. (English) Zbl 1490.60181 Electron. Commun. Probab. 27, Paper No. 4, 10 p. (2022). Reviewer: Martin Ondreját (Praha) MSC: 60H15 35Q30 76D05 76M35 60B05 37A50 35R60 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., Electron. Commun. Probab. 27, Paper No. 4, 10 p. (2022; Zbl 1490.60181) Full Text: DOI arXiv
Wang, Renhai; Guo, Boling; Wang, Bixiang Well-posedness and dynamics of fractional FitzHugh-Nagumo systems on \(\mathbb{R}^N\) driven by nonlinear noise. (English) Zbl 1482.37078 Sci. China, Math. 64, No. 11, 2395-2436 (2021). MSC: 37L55 37L30 35B41 35B40 PDFBibTeX XMLCite \textit{R. Wang} et al., Sci. China, Math. 64, No. 11, 2395--2436 (2021; Zbl 1482.37078) Full Text: DOI
Brzeźniak, Zdzisław; Dhariwal, Gaurav; Le Gia, Quoc Thong Stochastic Navier-Stokes equations on a thin spherical domain. (English) Zbl 1480.60178 Appl. Math. Optim. 84, No. 2, 1971-2035 (2021). Reviewer: Isamu Dôku (Saitama) MSC: 60H15 35R60 35Q30 76D05 37H05 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., Appl. Math. Optim. 84, No. 2, 1971--2035 (2021; Zbl 1480.60178) Full Text: DOI arXiv
Wang, Renhai; Wang, Bixiang Global well-posedness and long-term behavior of discrete reaction-diffusion equations driven by superlinear noise. (English) Zbl 1482.37079 Stochastic Anal. Appl. 39, No. 4, 667-696 (2021). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37L55 37L30 37L40 35K57 35B41 35B40 PDFBibTeX XMLCite \textit{R. Wang} and \textit{B. Wang}, Stochastic Anal. Appl. 39, No. 4, 667--696 (2021; Zbl 1482.37079) Full Text: DOI
Hong, Wei; Li, Shihu; Liu, Wei Well-posedness and exponential mixing for stochastic magneto-hydrodynamic equations with fractional dissipations. (English) Zbl 1469.60206 Front. Math. China 16, No. 2, 425-457 (2021). MSC: 60H15 37A25 35R11 PDFBibTeX XMLCite \textit{W. Hong} et al., Front. Math. China 16, No. 2, 425--457 (2021; Zbl 1469.60206) Full Text: DOI
Cass, Thomas; Crisan, Dan; Dobson, Paul; Ottobre, Michela Long-time behaviour of degenerate diffusions: UFG-type SDEs and time-inhomogeneous hypoelliptic processes. (English) Zbl 1469.35031 Electron. J. Probab. 26, Paper No. 22, 72 p. (2021). MSC: 35B40 35B65 35K10 37H10 47D06 49J55 58J65 60H10 93E03 PDFBibTeX XMLCite \textit{T. Cass} et al., Electron. J. Probab. 26, Paper No. 22, 72 p. (2021; Zbl 1469.35031) Full Text: DOI arXiv
Chen, Zhang; Wang, Bixiang Invariant measures of fractional stochastic delay reaction-diffusion equations on unbounded domains. (English) Zbl 1473.37097 Nonlinearity 34, No. 6, 3969-4016 (2021). MSC: 37L55 37L40 35K57 35R11 60H15 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{B. Wang}, Nonlinearity 34, No. 6, 3969--4016 (2021; Zbl 1473.37097) Full Text: DOI
Chen, Zhang; Li, Xiliang; Wang, Bixiang Invariant measures of stochastic delay lattice systems. (English) Zbl 1471.37070 Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3235-3269 (2021). MSC: 37L60 37L40 37L55 34F05 PDFBibTeX XMLCite \textit{Z. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3235--3269 (2021; Zbl 1471.37070) Full Text: DOI
Dirr, Nicolas; Grillmeier, Hubertus; Grün, Günther On stochastic porous-medium equations with critical-growth conservative multiplicative noise. (English) Zbl 1465.35423 Discrete Contin. Dyn. Syst. 41, No. 6, 2829-2871 (2021). MSC: 35R60 35R35 35K65 35K59 37M05 60H15 65N30 76S05 PDFBibTeX XMLCite \textit{N. Dirr} et al., Discrete Contin. Dyn. Syst. 41, No. 6, 2829--2871 (2021; Zbl 1465.35423) Full Text: DOI
Wang, Renhai Long-time dynamics of stochastic lattice plate equations with nonlinear noise and damping. (English) Zbl 1469.37056 J. Dyn. Differ. Equations 33, No. 2, 767-803 (2021). MSC: 37L60 37L55 37L30 PDFBibTeX XMLCite \textit{R. Wang}, J. Dyn. Differ. Equations 33, No. 2, 767--803 (2021; Zbl 1469.37056) Full Text: DOI
Slavík, Jakub Attractors for stochastic reaction-diffusion equation with additive homogeneous noise. (English) Zbl 1513.35081 Czech. Math. J. 71, No. 1, 21-43 (2021). MSC: 35B41 60H15 37L55 35K57 PDFBibTeX XMLCite \textit{J. Slavík}, Czech. Math. J. 71, No. 1, 21--43 (2021; Zbl 1513.35081) Full Text: DOI
Li, Dingshi; Wang, Bixiang; Wang, Xiaohu Periodic measures of stochastic delay lattice systems. (English) Zbl 1457.37097 J. Differ. Equations 272, 74-104 (2021). Reviewer: Joseph Shomberg (Providence) MSC: 37L55 37L60 37L40 37L30 60H15 60H10 PDFBibTeX XMLCite \textit{D. Li} et al., J. Differ. Equations 272, 74--104 (2021; Zbl 1457.37097) Full Text: DOI
Wang, Renhai; Wang, Bixiang Random dynamics of \(p\)-Laplacian lattice systems driven by infinite-dimensional nonlinear noise. (English) Zbl 1462.34036 Stochastic Processes Appl. 130, No. 12, 7431-7462 (2020). MSC: 34A33 34F05 34D45 37H30 60H10 PDFBibTeX XMLCite \textit{R. Wang} and \textit{B. Wang}, Stochastic Processes Appl. 130, No. 12, 7431--7462 (2020; Zbl 1462.34036) Full Text: DOI
Hornung, Fabian The stochastic nonlinear Schrödinger equation in unbounded domains and non-compact manifolds. (English) Zbl 1448.35426 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 4, Paper No. 40, 46 p. (2020). MSC: 35Q41 35R60 60H15 60H30 60H40 37L65 PDFBibTeX XMLCite \textit{F. Hornung}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 4, Paper No. 40, 46 p. (2020; Zbl 1448.35426) Full Text: DOI arXiv
Wang, Renhai; Wang, Bixiang Random dynamics of lattice wave equations driven by infinite-dimensional nonlinear noise. (English) Zbl 1443.37060 Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2461-2493 (2020). MSC: 37L60 37L55 35B41 35B40 35R60 PDFBibTeX XMLCite \textit{R. Wang} and \textit{B. Wang}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2461--2493 (2020; Zbl 1443.37060) Full Text: DOI
Wang, Bixiang; Wang, Renhai Asymptotic behavior of stochastic Schrödinger lattice systems driven by nonlinear noise. (English) Zbl 1437.37102 Stochastic Anal. Appl. 38, No. 2, 213-237 (2020). MSC: 37L55 37L60 37K60 34F05 37L30 60H10 PDFBibTeX XMLCite \textit{B. Wang} and \textit{R. Wang}, Stochastic Anal. Appl. 38, No. 2, 213--237 (2020; Zbl 1437.37102) Full Text: DOI
Wang, Bixiang Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise. (English) Zbl 1473.37098 J. Differ. Equations 268, No. 1, 1-59 (2019). Reviewer: Anhui Gu (Chongqing) MSC: 37L55 37L30 37L40 35K57 35R11 60H15 PDFBibTeX XMLCite \textit{B. Wang}, J. Differ. Equations 268, No. 1, 1--59 (2019; Zbl 1473.37098) Full Text: DOI
Wang, Bixiang Dynamics of stochastic reaction-diffusion lattice systems driven by nonlinear noise. (English) Zbl 1425.37048 J. Math. Anal. Appl. 477, No. 1, 104-132 (2019). MSC: 37L55 37L30 35K57 PDFBibTeX XMLCite \textit{B. Wang}, J. Math. Anal. Appl. 477, No. 1, 104--132 (2019; Zbl 1425.37048) Full Text: DOI
Razafimandimby, Paul André; Brzeźniak, Zdzisław Irreducibility and strong Feller property for stochastic evolution equations in Banach spaces. (English) Zbl 1347.60080 Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1051-1077 (2016). MSC: 60H15 60J60 35R60 37L40 PDFBibTeX XMLCite \textit{P. A. Razafimandimby} and \textit{Z. Brzeźniak}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1051--1077 (2016; Zbl 1347.60080) Full Text: DOI
Brzeźniak, Zdzisław; Ondreját, Martin; Seidler, Jan Invariant measures for stochastic nonlinear beam and wave equations. (English) Zbl 1338.35419 J. Differ. Equations 260, No. 5, 4157-4179 (2016). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 35Q74 60H15 74K10 35R60 47D07 37L40 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., J. Differ. Equations 260, No. 5, 4157--4179 (2016; Zbl 1338.35419) Full Text: DOI
Baňas, Ľubomír; Brzeźniak, Zdzisław; Neklyudov, Mikhail; Ondreját, Martin; Prohl, Andreas Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere. (English) Zbl 1363.58015 Czech. Math. J. 65, No. 3, 617-657 (2015). Reviewer: Jean Picard (Aubière) MSC: 58J65 60J60 60H35 37A25 60H10 65C30 65C20 60H15 PDFBibTeX XMLCite \textit{Ľ. Baňas} et al., Czech. Math. J. 65, No. 3, 617--657 (2015; Zbl 1363.58015) Full Text: DOI arXiv Link
Brzeźniak, Zdzisław; Long, Hongwei; Simão, Isabel Invariant measures for stochastic evolution equations in M-type 2 Banach spaces. (English) Zbl 1239.60053 J. Evol. Equ. 10, No. 4, 785-810 (2010). MSC: 60H15 35R60 37L40 35R15 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., J. Evol. Equ. 10, No. 4, 785--810 (2010; Zbl 1239.60053) Full Text: DOI