Böhm, Markus; Schmalfuss, Björn Bounds on the Hausdorff dimension of random attractors for infinite-dimensional random dynamical systems on fractals. (English) Zbl 1418.37118 Discrete Contin. Dyn. Syst., Ser. B 24, No. 7, 3115-3138 (2019). Reviewer: Joseph Shomberg (Providence) MSC: 37L55 37H15 60H15 35R60 60J65 37L30 PDFBibTeX XMLCite \textit{M. Böhm} and \textit{B. Schmalfuss}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 7, 3115--3138 (2019; Zbl 1418.37118) Full Text: DOI
Duc, L. H.; Garrido-Atienza, M. J.; Schmalfuß, B. Dynamics of SPDEs driven by a small fractional Brownian motion with Hurst parameter larger than 1/2. (English) Zbl 1405.35261 Eberle, Andreas (ed.) et al., Stochastic partial differential equations and related fields. In honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10–14, 2016. Cham: Springer (ISBN 978-3-319-74928-0/hbk; 978-3-319-74929-7/ebook). Springer Proceedings in Mathematics & Statistics 229, 213-224 (2018). MSC: 35R60 35B35 34A34 34F05 PDFBibTeX XMLCite \textit{L. H. Duc} et al., Springer Proc. Math. Stat. 229, 213--224 (2018; Zbl 1405.35261) Full Text: DOI
Bessaih, Hakima; Garrido-Atienza, María J.; Schmalfuss, Björn Stochastic shell models driven by a multiplicative fractional Brownian-motion. (English) Zbl 1364.76073 Physica D 320, 38-56 (2016). MSC: 76F99 60G22 35R60 PDFBibTeX XMLCite \textit{H. Bessaih} et al., Physica D 320, 38--56 (2016; Zbl 1364.76073) Full Text: DOI arXiv
Chueshov, Igor; Schmalfuß, Björn Stochastic dynamics in a fluid-plate interaction model with the only longitudinal deformations of the plate. (English) Zbl 1339.37086 Discrete Contin. Dyn. Syst., Ser. B 20, No. 3, 833-852 (2015). MSC: 37L55 60H15 37L25 35R60 76D06 92C05 PDFBibTeX XMLCite \textit{I. Chueshov} and \textit{B. Schmalfuß}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 3, 833--852 (2015; Zbl 1339.37086) Full Text: DOI
Bessaih, Hakima; Garrido-Atienza, María J.; Schmalfuss, Björn Pathwise solutions and attractors for retarded SPDEs with time smooth diffusion coefficients. (English) Zbl 1318.37029 Discrete Contin. Dyn. Syst. 34, No. 10, 3945-3968 (2014). Reviewer: Elisa Alòs (Barcelona) MSC: 37L55 60H15 35R60 60J65 35B41 PDFBibTeX XMLCite \textit{H. Bessaih} et al., Discrete Contin. Dyn. Syst. 34, No. 10, 3945--3968 (2014; Zbl 1318.37029) Full Text: DOI arXiv
Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn Random attractors for stochastic evolution equations driven by fractional Brownian motion. (English) Zbl 1303.60053 SIAM J. Math. Anal. 46, No. 4, 2281-2309 (2014). Reviewer: Martin Ondreját (Praha) MSC: 60H15 37L55 37L25 35R60 PDFBibTeX XMLCite \textit{H. Gao} et al., SIAM J. Math. Anal. 46, No. 4, 2281--2309 (2014; Zbl 1303.60053) Full Text: DOI arXiv Link
Chen, Yong; Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than \(1/2\) and random dynamical systems. (English) Zbl 1321.37076 Discrete Contin. Dyn. Syst. 34, No. 1, 79-98 (2014). Reviewer: Arne Ogrowsky (München) MSC: 37L55 60H15 60G22 37H05 35R60 PDFBibTeX XMLCite \textit{Y. Chen} et al., Discrete Contin. Dyn. Syst. 34, No. 1, 79--98 (2014; Zbl 1321.37076) Full Text: DOI arXiv
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. (English) Zbl 1200.37075 Discrete Contin. Dyn. Syst., Ser. B 14, No. 2, 473-493 (2010). Reviewer: Caidi Zhao (Wenzhou) MSC: 37L55 60H15 37L25 35R60 58B99 26A33 PDFBibTeX XMLCite \textit{M. J. Garrido-Atienza} et al., Discrete Contin. Dyn. Syst., Ser. B 14, No. 2, 473--493 (2010; Zbl 1200.37075) Full Text: DOI
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn Invariant manifolds for random and stochastic partial differential equations. (English) Zbl 1209.37094 Adv. Nonlinear Stud. 10, No. 1, 23-52 (2010). Reviewer: Hans Crauel (Frankfurt am Main) MSC: 37L55 35R60 37D10 37L25 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Adv. Nonlinear Stud. 10, No. 1, 23--52 (2010; Zbl 1209.37094) Full Text: arXiv
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion. (English) Zbl 1186.37094 J. Differ. Equations 248, No. 7, 1637-1667 (2010). MSC: 37L55 60H15 37L25 35R60 60J65 PDFBibTeX XMLCite \textit{M. J. Garrido-Atienza} et al., J. Differ. Equations 248, No. 7, 1637--1667 (2010; Zbl 1186.37094) Full Text: DOI
Sun, Chengfeng; Gao, Hongjun; Duan, Jinqiao; Schmalfuß, Björn Rare events in the Boussinesq system with fluctuating dynamical boundary conditions. (English) Zbl 1183.35280 J. Differ. Equations 248, No. 6, 1269-1296 (2010). MSC: 35R60 35Q35 60H15 76M35 86A05 86A10 PDFBibTeX XMLCite \textit{C. Sun} et al., J. Differ. Equations 248, No. 6, 1269--1296 (2010; Zbl 1183.35280) Full Text: DOI
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J. Non-autonomous and random attractors for delay random semilinear equations without uniqueness. (English) Zbl 1155.60025 Discrete Contin. Dyn. Syst. 21, No. 2, 415-443 (2008). Reviewer: Dirk Blömker (Augsburg) MSC: 60H15 35K40 35R60 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Discrete Contin. Dyn. Syst. 21, No. 2, 415--443 (2008; Zbl 1155.60025) Full Text: DOI
Lu, Kening; Schmalfuß, Björn Invariant manifolds for stochastic wave equations. (English) Zbl 1113.37056 J. Differ. Equations 236, No. 2, 460-492 (2007). MSC: 37L55 35R60 60H15 PDFBibTeX XMLCite \textit{K. Lu} and \textit{B. Schmalfuß}, J. Differ. Equations 236, No. 2, 460--492 (2007; Zbl 1113.37056) Full Text: DOI
Chueshov, Igor D.; Schmalfuß, Björn Averaging of attractors and inertial manifolds for parabolic PDE with random coefficients. (English) Zbl 1092.37051 Adv. Nonlinear Stud. 5, No. 4, 461-492 (2005). MSC: 37L25 37L55 35B42 37H10 37L30 35B41 35K55 35R60 PDFBibTeX XMLCite \textit{I. D. Chueshov} and \textit{B. Schmalfuß}, Adv. Nonlinear Stud. 5, No. 4, 461--492 (2005; Zbl 1092.37051) Full Text: DOI
Flandoli, Franco; Schmalfuß, Björn Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force. (English) Zbl 0931.35124 J. Dyn. Differ. Equations 11, No. 2, 355-398 (1999). Reviewer: S.Wedrychowicz (Rzeszów) MSC: 35Q30 35R60 35B41 37L30 PDFBibTeX XMLCite \textit{F. Flandoli} and \textit{B. Schmalfuß}, J. Dyn. Differ. Equations 11, No. 2, 355--398 (1999; Zbl 0931.35124) Full Text: DOI
Schmalfuss, B. Langzeitverhalten einer parabolischen Evolutionsgleichung mit zufälligen Einflüssen. (Long time behaviour of a parabolic evolution equation with randomness). (German) Zbl 0708.35068 Z. Anal. Anwend. 9, No. 1, 65-72 (1990). Reviewer: S.K.Rangarajan MSC: 35Q30 35R60 35G10 35K25 PDFBibTeX XMLCite \textit{B. Schmalfuss}, Z. Anal. Anwend. 9, No. 1, 65--72 (1990; Zbl 0708.35068) Full Text: DOI
Schmalfuss, Bjoern Finite-dimensional approximation of stochastic Navier-Stokes equation. (English) Zbl 0635.60074 Stochastic differential systems, Proc. IFIP-WG 7/1 Work. Conf., Eisenach/GDR 1986, Lect. Notes Control Inf. Sci. 96, 109-114 (1987). MSC: 60H15 35Q30 35R60 PDFBibTeX XML