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Schmalfuß, Björn

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 Author ID: schmalfuss.bjorn Published as: Schmalfuss, B.; Schmalfuss, Bjoern; Schmalfuss, Bjorn; Schmalfuss, Björn; Schmalfuß, B.; Schmalfuß, Björn Homepage: http://www.stochastik.uni-jena.de/Mitarbeiter/Prof_+Dr_+B_+Schmalfu%C3%9F.html External Links: MGP · Math-Net.Ru · dblp · GND
 Documents Indexed: 102 Publications since 1985, including 1 Book Biographic References: 1 Publication
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Co-Authors

 18 single-authored 29 Garrido-Atienza, María José 13 Lu, Kening 12 Duan, Jinqiao 12 Kloeden, Peter Eris 11 Caraballo Garrido, Tomás 9 Chueshov, Igor’ Dmitrievich 6 Cheban, David Nikolai 6 Valero, José 5 Bessaih, Hakima 4 Gao, Hongjun 3 Duc, Luu Hoang 3 Ogrowsky, Arne 2 Arnold, Ludwig 2 Brune, Peter R. 2 Flandoli, Franco 2 Han, Xiaoying 2 Maslowski, Bohdan 2 Neuenkirch, Andreas 2 Schneider, Klaus R. 1 Böhm, Markus 1 Chen, Yong 1 Denker, Manfred 1 Dorogovtsev, Andriĭ Anatoliĭovych 1 Grecksch, Wilfried 1 Imkeller, Peter 1 Kan, Xingye 1 Keller, Hannes 1 Köpp, Verena 1 Langa, Jose’ Antonio 1 Neamţu, Alexandra 1 Pei, Bin 1 Riabov, Georgii V. 1 Schenk-Hoppé, Klaus Reiner 1 Scheutzow, Michael K. R. 1 Siegmund, Stefan 1 Sun, Chengfeng 1 Xu, Yong 1 Yang, Meihua 1 Zhang, Xiaoyu
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Serials

 9 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Dynamics and Differential Equations 7 Discrete and Continuous Dynamical Systems 7 Stochastics and Dynamics 5 Journal of Differential Equations 4 Stochastic Analysis and Applications 2 Journal of Mathematical Analysis and Applications 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Physica D 2 SIAM Journal on Mathematical Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 NoDEA. Nonlinear Differential Equations and Applications 2 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 2 Advanced Nonlinear Studies 2 SIAM Journal on Applied Dynamical Systems 1 Journal of Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 Journal of Mathematical Economics 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Statistics 1 Differential and Integral Equations 1 Numerical Algorithms 1 Stochastic Processes and their Applications 1 Wissenschaftliche Zeitschrift der Technischen Hochschule Carl Schorlemmer Leuna-Merseburg 1 Stochastics and Stochastics Reports 1 Random & Computational Dynamics 1 Computational and Applied Mathematics 1 Journal of Difference Equations and Applications 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Dynamical Systems 1 Nonlinear Dynamics and Systems Theory 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences 1 Applied Mathematical Sciences 1 Boletín de la Sociedad Española de Matemática Aplicada. S$$\vec{\text{e}}$$MA 1 Nonlinear Analysis. Theory, Methods & Applications
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Fields

 72 Probability theory and stochastic processes (60-XX) 64 Dynamical systems and ergodic theory (37-XX) 36 Partial differential equations (35-XX) 28 Ordinary differential equations (34-XX) 10 Fluid mechanics (76-XX) 7 Numerical analysis (65-XX) 6 Geophysics (86-XX) 6 Systems theory; control (93-XX) 4 Real functions (26-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

84 Publications have been cited 1,786 times in 849 Documents Cited by Year
Random attractors for the 3D stochastic Navier-Stokes equation with multiplicative white noise. Zbl 0870.60057
Flandoli, Franco; Schmalfuss, Björn
1996
Invariant manifolds for stochastic partial differential equations. Zbl 1052.60048
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2003
Nonautonomous systems, cocycle attractors and variable time-step discretization. Zbl 0886.65077
Kloeden, Peter E.; Schmalfuß, Björn
1997
Non-autonomous and random attractors for delay random semilinear equations without uniqueness. Zbl 1155.60025
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J.
2008
Exponentially stable stationary solutions for stochastic evolution equations and their perturbation. Zbl 1066.60058
Caraballo, Tomás; Kloeden, Peter E.; Schmalfuß, Björn
2004
The relationship between pullback, forward and global attractors of nonautonomous dynamical systems. Zbl 1054.34087
Cheban, D. N.; Kloeden, P. E.; Schmalfuß, B.
2002
Smooth stable and unstable manifolds for stochastic evolutionary equations. Zbl 1065.60077
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2004
Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions. Zbl 1201.60063
Caraballo, Tomás; Garrido-Atienza, María J.; Schmalfuss, Björn; Valero, José
2010
Asymptotic behaviour of nonautonomous difference inclusions. Zbl 0902.93043
Kloeden, Peter E.; Schmalfuss, Björn
1998
The conjugacy of stochastic and random differential equations and the existence of global attractors. Zbl 1004.37034
Imkeller, Peter; Schmalfuss, Björn
2001
Random dynamical systems and stationary solutions of differential equations driven by the fractional Brownian motion. Zbl 1062.60060
Maslowski, Bohdan; Schmalfuss, Björn
2004
The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302
Duan, Jinquiao; Schmalfuss, Björn
2003
Attractors for the non-autonomous dynamical systems. Zbl 0971.37038
Schmalfuss, Björn
2000
Ergodicity of the infinite dimensional fractional Brownian motion. Zbl 1228.37004
Garrido-Atienza, María J.; Schmalfuß, Björn
2011
The random attractor of the stochastic Lorenz system. Zbl 0887.34057
Schmalfuß, Björn
1997
A random fixed point theorem and the random graph transformation. Zbl 0931.37019
Schmalfuss, Björn
1998
Random attractors for stochastic equations driven by a fractional Brownian motion. Zbl 1202.37073
Garrido-Atienza, M. J.; Maslowski, B.; Schmalfuß, B.
2010
Invariant manifolds for stochastic wave equations. Zbl 1113.37056
Lu, Kening; Schmalfuß, Björn
2007
Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. Zbl 1200.37075
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn
2010
Random differential equations with random delays. Zbl 1270.34182
Garrido-Atienza, M. J.; Ogrowsky, A.; Schmalfuss, B.
2011
Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force. Zbl 0931.35124
Flandoli, Franco; Schmalfuß, Björn
1999
Pullback attractors in dissipative nonautonomous differential equations under discretization. Zbl 0999.34054
Cheban, D. N.; Kloeden, P. E.; Schmalfuß, B.
2001
Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn
2010
Finite dimensionality of attractors for non-autonomous dynamical systems given by partial differential equations. Zbl 1057.37069
Langa, J. A.; Schmalfuss, B.
2004
Stochastic dynamics of a coupled atmosphere-ocean model. Zbl 1090.86003
Duan, Jinqiao; Gao, Hongjung; Schmalfuß, Björn
2002
Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion. Zbl 1186.37094
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2010
Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than $$1/2$$ and random dynamical systems. Zbl 1321.37076
Chen, Yong; Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn
2014
Lyapunov’s second method for random dynamical systems. Zbl 1040.37035
Arnold, Ludwig; Schmalfuss, Björn
2001
Qualitative properties for the stochastic Navier-Stokes equation. Zbl 0882.60058
Schmalfuss, Björn
1997
Invariant manifolds for random dynamical systems with slow and fast variables. Zbl 1138.37032
Schmalfuss, Björn; Schneider, Klaus R.
2008
Measure attractors and random attractors for stochastic partial differential equations. Zbl 0944.60071
Schmalfuß, B.
1999
Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters $$H\in(1/3,1/2]$$. Zbl 1336.60103
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn
2016
Invariant foliations for stochastic partial differential equations. Zbl 1153.60362
Lu, Kening; Schmalfuß, Björn
2008
Parabolic stochastic partial differential equations with dynamical boundary conditions. Zbl 1150.60032
Chueshov, Igor; Schmalfuss, Björn
2004
Random attractors for stochastic evolution equations driven by fractional Brownian motion. Zbl 1303.60053
Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn
2014
Qualitative behavior of a class of stochastic parabolic PDEs with dynamical boundary conditions. Zbl 1126.37050
Chueshov, Igor; Schmalfuss, Björn
2007
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Zbl 1329.60208
Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José
2016
Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters $$H\in (1/3,1/2]$$. Zbl 1335.60111
Garrido-Atienza, María; Lu, Kening; Schmalfuss, Björn
2015
Attractors for nonautonomous and random dynamical systems perturbed by impulses. Zbl 1029.37030
Schmalfuss, Björn
2003
Towards a theory of random numerical dynamics. Zbl 0930.93071
Kloeden, Peter E.; Keller, Hannes; Schmalfuß, Björn
1999
Master-slave synchronization and invariant manifolds for coupled stochastic systems. Zbl 1314.34116
Chueshov, Igor; Schmalfuß, Björn
2010
Existence of exponentially attracting stationary solutions for delay evolution equations. Zbl 1125.60058
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.
2007
Lyapunov functions and attractors under variable time-step discretization. Zbl 0949.34042
Kloeden, Peter E.; Schmalfuss, Björn
1996
A random fixed point theorem based on Lyapunov exponents. Zbl 0876.60048
Schmalfuß, Björn
1996
Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in $$(1/2,1)$$. Zbl 1386.60198
Duc, L. H.; Garrido-Atienza, M. J.; Neuenkirch, A.; Schmalfuß, B.
2018
Global attractor for a non-autonomous integro-differential equation in materials with memory. Zbl 1194.35071
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuß, B.; Valero, J.
2010
Long-time behaviour of the stochastic Navier-Stokes equation. Zbl 0728.60069
Schmalfuss, B.
1991
Stochastic lattice dynamical systems with fractional noise. Zbl 1368.60065
Bessaih, Hakima; Garrido-Atienza, María J.; Han, Xiaoying; Schmalfuss, Björn
2017
Approximation of the stochastic Navier-Stokes equation. Zbl 0876.60042
Grecksch, Wilfried; Schmalfuß, Björn
1996
Random dynamics of the Boussinesq system with dynamical boundary conditions. Zbl 1179.60043
Brune, Peter; Duan, Jinqiao; Schmalfuß, Björn
2009
Invariant manifolds, global attractors, almost automorphic and almost periodic solutions of non-autonomous differential equations. Zbl 1128.37009
Cheban, David; Schmalfuss, Bjoern
2008
Compensated fractional derivatives and stochastic evolution equations. Zbl 1303.60054
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2012
Rare events in the Boussinesq system with fluctuating dynamical boundary conditions. Zbl 1183.35280
Sun, Chengfeng; Gao, Hongjun; Duan, Jinqiao; Schmalfuß, Björn
2010
Probabilistic dynamics of two-layer geophysical flows. Zbl 1038.60054
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
2001
Exponential stability of the quasigeostrophic equation under random perturbations. Zbl 0987.76027
Duan, Jinqiao; Kloeden, Peter E.; Schmalfuss, Björn
2001
Fixed points and attractors for random dynamical systems. Zbl 0925.58050
Arnold, L.; Schmalfuss, B.
1996
On 3D Navier-Stokes equations: regularization and uniqueness by delays. Zbl 1398.76031
Bessaih, Hakima; Garrido-Atienza, María J.; Schmalfuß, Björn
2018
Stochastic shell models driven by a multiplicative fractional Brownian-motion. Zbl 1364.76073
Bessaih, Hakima; Garrido-Atienza, María J.; Schmalfuss, Björn
2016
Inertial manifolds for stochastic PDE with dynamical boundary conditions. Zbl 1247.37085
Brune, Peter; Schmalfuss, Björn
2011
Random fixed points in a stochastic Solow growth model. Zbl 1093.91044
Schenk-Hoppé, Klaus Reiner; Schmalfuß, Björn
2001
Cocycle attractors of variable time-step discretizations of Lorenzian systems. Zbl 0878.34043
Kloeden, P. E.; Schmalfuss, B.
1997
Asymptotical stability of differential equations driven by Hölder continuous paths. Zbl 1452.37060
Garrido-Atienza, María J.; Neuenkirch, Andreas; Schmalfuß, Björn
2018
Lévy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces. Zbl 1335.60082
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2015
A note on the generation of random dynamical systems from fractional stochastic delay differential equations. Zbl 1317.37099
Duc, Luu Hoang; Schmalfuß, Björn; Siegmund, Stefan
2015
Averaging of attractors and inertial manifolds for parabolic PDE with random coefficients. Zbl 1092.37051
Chueshov, Igor D.; Schmalfuß, Björn
2005
Continuity properties of inertial manifolds for stochastic retarded semilinear parabolic equations. Zbl 1093.60038
Chueshov, Igor; Scheutzow, Michael; Schmalfuß, Björn
2005
Determining functionals for random partial differential equations. Zbl 1041.60053
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
2003
Lyapunov functions and non-trivial stationary solutions of stochastic differential equations. Zbl 1038.60050
Schmalfuss, Björn
2001
Global attractors of nonautonomous disperse dynamical systems and differential inclusions. Zbl 1001.37012
Cheban, D. N.; Schmalfuss, B.
1999
Pathwise solutions and attractors for retarded SPDEs with time smooth diffusion coefficients. Zbl 1318.37029
Bessaih, Hakima; Garrido-Atienza, María J.; Schmalfuss, Björn
2014
Stabilization of stationary solutions of evolution equations by noise. Zbl 1117.60063
Caraballo, T.; Kloeden, P. E.; Schmalfuss, B.
2006
Invariant attracting sets of nonlinear stochastic differential equations. Zbl 0692.60046
Schmalfuss, B.
1989
Local stability of differential equations driven by Hölder-continuous paths with Hölder index in $$(1/3,1/2)$$. Zbl 1408.37130
Garrido-Atienza, María J.; Schmalfuss, Björn
2018
Attractors for a random evolution equation with infinite memory: theoretical results. Zbl 1359.60080
Valero, José; Schmalfuß, Björn; Garrido-Atienza, María J.; Caraballo, Tomás
2017
Stochastic dynamics in a fluid-plate interaction model with the only longitudinal deformations of the plate. Zbl 1339.37086
Chueshov, Igor; Schmalfuß, Björn
2015
Invariant manifolds for infinite dimensional random dynamical systems. Zbl 1283.37060
Lu, Kening; Schmalfuß, Björn
2012
Inertial manifolds for random differential equations. Zbl 1090.37038
Schmalfuss, Björn
2005
Endlichdimensionale Approximation der Lösung der stochastischen Navier- Stokes-Gleichung. (Finite dimensional approximation of the solution of the stochastic Navier-Stokes equation). Zbl 0702.60059
Schmalfuss, Björn
1990
Stationary points in coalescing stochastic flows on $$\mathbb{R}$$. Zbl 1456.60114
Dorogovtsev, Andrey A.; Riabov, Georgii V.; Schmalfuß, Björn
2020
Random attractors for stochastic differential equations driven by two-sided Lévy processes. Zbl 1428.37050
Zhang, Xiaoyu; Xu, Yong; Schmalfuß, Björn; Pei, Bin
2019
Dynamics of SPDEs driven by a small fractional Brownian motion with Hurst parameter larger than 1/2. Zbl 1405.35261
Duc, L. H.; Garrido-Atienza, M. J.; Schmalfuß, B.
2018
Discretization of stationary solutions of SPDE’s by external approximation in space and time. Zbl 1202.60102
Ogrowsky, A.; Schmalfuss, B.
2010
Existence of a slow invariant manifold for a class of random differential equations with two time scales. Zbl 1106.37019
Schmalfuss, B.; Schneider, K. R.
2005
Global attractors for $$V$$-monotone nonautonomous dynamical systems. Zbl 1052.34061
Cheban, David N.; Kloeden, Peter E.; Schmalfuß, Björn
2003
Stationary points in coalescing stochastic flows on $$\mathbb{R}$$. Zbl 1456.60114
Dorogovtsev, Andrey A.; Riabov, Georgii V.; Schmalfuß, Björn
2020
Random attractors for stochastic differential equations driven by two-sided Lévy processes. Zbl 1428.37050
Zhang, Xiaoyu; Xu, Yong; Schmalfuß, Björn; Pei, Bin
2019
Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in $$(1/2,1)$$. Zbl 1386.60198
Duc, L. H.; Garrido-Atienza, M. J.; Neuenkirch, A.; Schmalfuß, B.
2018
On 3D Navier-Stokes equations: regularization and uniqueness by delays. Zbl 1398.76031
Bessaih, Hakima; Garrido-Atienza, María J.; Schmalfuß, Björn
2018
Asymptotical stability of differential equations driven by Hölder continuous paths. Zbl 1452.37060
Garrido-Atienza, María J.; Neuenkirch, Andreas; Schmalfuß, Björn
2018
Local stability of differential equations driven by Hölder-continuous paths with Hölder index in $$(1/3,1/2)$$. Zbl 1408.37130
Garrido-Atienza, María J.; Schmalfuss, Björn
2018
Dynamics of SPDEs driven by a small fractional Brownian motion with Hurst parameter larger than 1/2. Zbl 1405.35261
Duc, L. H.; Garrido-Atienza, M. J.; Schmalfuß, B.
2018
Stochastic lattice dynamical systems with fractional noise. Zbl 1368.60065
Bessaih, Hakima; Garrido-Atienza, María J.; Han, Xiaoying; Schmalfuss, Björn
2017
Attractors for a random evolution equation with infinite memory: theoretical results. Zbl 1359.60080
Valero, José; Schmalfuß, Björn; Garrido-Atienza, María J.; Caraballo, Tomás
2017
Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters $$H\in(1/3,1/2]$$. Zbl 1336.60103
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn
2016
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Zbl 1329.60208
Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José
2016
Stochastic shell models driven by a multiplicative fractional Brownian-motion. Zbl 1364.76073
Bessaih, Hakima; Garrido-Atienza, María J.; Schmalfuss, Björn
2016
Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters $$H\in (1/3,1/2]$$. Zbl 1335.60111
Garrido-Atienza, María; Lu, Kening; Schmalfuss, Björn
2015
Lévy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces. Zbl 1335.60082
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2015
A note on the generation of random dynamical systems from fractional stochastic delay differential equations. Zbl 1317.37099
Duc, Luu Hoang; Schmalfuß, Björn; Siegmund, Stefan
2015
Stochastic dynamics in a fluid-plate interaction model with the only longitudinal deformations of the plate. Zbl 1339.37086
Chueshov, Igor; Schmalfuß, Björn
2015
Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than $$1/2$$ and random dynamical systems. Zbl 1321.37076
Chen, Yong; Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn
2014
Random attractors for stochastic evolution equations driven by fractional Brownian motion. Zbl 1303.60053
Gao, Hongjun; Garrido-Atienza, María J.; Schmalfuss, Björn
2014
Pathwise solutions and attractors for retarded SPDEs with time smooth diffusion coefficients. Zbl 1318.37029
Bessaih, Hakima; Garrido-Atienza, María J.; Schmalfuss, Björn
2014
Compensated fractional derivatives and stochastic evolution equations. Zbl 1303.60054
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2012
Invariant manifolds for infinite dimensional random dynamical systems. Zbl 1283.37060
Lu, Kening; Schmalfuß, Björn
2012
Ergodicity of the infinite dimensional fractional Brownian motion. Zbl 1228.37004
Garrido-Atienza, María J.; Schmalfuß, Björn
2011
Random differential equations with random delays. Zbl 1270.34182
Garrido-Atienza, M. J.; Ogrowsky, A.; Schmalfuss, B.
2011
Inertial manifolds for stochastic PDE with dynamical boundary conditions. Zbl 1247.37085
Brune, Peter; Schmalfuss, Björn
2011
Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions. Zbl 1201.60063
Caraballo, Tomás; Garrido-Atienza, María J.; Schmalfuss, Björn; Valero, José
2010
Random attractors for stochastic equations driven by a fractional Brownian motion. Zbl 1202.37073
Garrido-Atienza, M. J.; Maslowski, B.; Schmalfuß, B.
2010
Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. Zbl 1200.37075
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn
2010
Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn
2010
Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion. Zbl 1186.37094
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2010
Master-slave synchronization and invariant manifolds for coupled stochastic systems. Zbl 1314.34116
Chueshov, Igor; Schmalfuß, Björn
2010
Global attractor for a non-autonomous integro-differential equation in materials with memory. Zbl 1194.35071
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuß, B.; Valero, J.
2010
Rare events in the Boussinesq system with fluctuating dynamical boundary conditions. Zbl 1183.35280
Sun, Chengfeng; Gao, Hongjun; Duan, Jinqiao; Schmalfuß, Björn
2010
Discretization of stationary solutions of SPDE’s by external approximation in space and time. Zbl 1202.60102
Ogrowsky, A.; Schmalfuss, B.
2010
Random dynamics of the Boussinesq system with dynamical boundary conditions. Zbl 1179.60043
Brune, Peter; Duan, Jinqiao; Schmalfuß, Björn
2009
Non-autonomous and random attractors for delay random semilinear equations without uniqueness. Zbl 1155.60025
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J.
2008
Invariant manifolds for random dynamical systems with slow and fast variables. Zbl 1138.37032
Schmalfuss, Björn; Schneider, Klaus R.
2008
Invariant foliations for stochastic partial differential equations. Zbl 1153.60362
Lu, Kening; Schmalfuß, Björn
2008
Invariant manifolds, global attractors, almost automorphic and almost periodic solutions of non-autonomous differential equations. Zbl 1128.37009
Cheban, David; Schmalfuss, Bjoern
2008
Invariant manifolds for stochastic wave equations. Zbl 1113.37056
Lu, Kening; Schmalfuß, Björn
2007
Qualitative behavior of a class of stochastic parabolic PDEs with dynamical boundary conditions. Zbl 1126.37050
Chueshov, Igor; Schmalfuss, Björn
2007
Existence of exponentially attracting stationary solutions for delay evolution equations. Zbl 1125.60058
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.
2007
Stabilization of stationary solutions of evolution equations by noise. Zbl 1117.60063
Caraballo, T.; Kloeden, P. E.; Schmalfuss, B.
2006
Averaging of attractors and inertial manifolds for parabolic PDE with random coefficients. Zbl 1092.37051
Chueshov, Igor D.; Schmalfuß, Björn
2005
Continuity properties of inertial manifolds for stochastic retarded semilinear parabolic equations. Zbl 1093.60038
Chueshov, Igor; Scheutzow, Michael; Schmalfuß, Björn
2005
Inertial manifolds for random differential equations. Zbl 1090.37038
Schmalfuss, Björn
2005
Existence of a slow invariant manifold for a class of random differential equations with two time scales. Zbl 1106.37019
Schmalfuss, B.; Schneider, K. R.
2005
Exponentially stable stationary solutions for stochastic evolution equations and their perturbation. Zbl 1066.60058
Caraballo, Tomás; Kloeden, Peter E.; Schmalfuß, Björn
2004
Smooth stable and unstable manifolds for stochastic evolutionary equations. Zbl 1065.60077
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2004
Random dynamical systems and stationary solutions of differential equations driven by the fractional Brownian motion. Zbl 1062.60060
Maslowski, Bohdan; Schmalfuss, Björn
2004
Finite dimensionality of attractors for non-autonomous dynamical systems given by partial differential equations. Zbl 1057.37069
Langa, J. A.; Schmalfuss, B.
2004
Parabolic stochastic partial differential equations with dynamical boundary conditions. Zbl 1150.60032
Chueshov, Igor; Schmalfuss, Björn
2004
Invariant manifolds for stochastic partial differential equations. Zbl 1052.60048
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2003
The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302
Duan, Jinquiao; Schmalfuss, Björn
2003
Attractors for nonautonomous and random dynamical systems perturbed by impulses. Zbl 1029.37030
Schmalfuss, Björn
2003
Determining functionals for random partial differential equations. Zbl 1041.60053
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
2003
Global attractors for $$V$$-monotone nonautonomous dynamical systems. Zbl 1052.34061
Cheban, David N.; Kloeden, Peter E.; Schmalfuß, Björn
2003
The relationship between pullback, forward and global attractors of nonautonomous dynamical systems. Zbl 1054.34087
Cheban, D. N.; Kloeden, P. E.; Schmalfuß, B.
2002
Stochastic dynamics of a coupled atmosphere-ocean model. Zbl 1090.86003
Duan, Jinqiao; Gao, Hongjung; Schmalfuß, Björn
2002
The conjugacy of stochastic and random differential equations and the existence of global attractors. Zbl 1004.37034
Imkeller, Peter; Schmalfuss, Björn
2001
Pullback attractors in dissipative nonautonomous differential equations under discretization. Zbl 0999.34054
Cheban, D. N.; Kloeden, P. E.; Schmalfuß, B.
2001
Lyapunov’s second method for random dynamical systems. Zbl 1040.37035
Arnold, Ludwig; Schmalfuss, Björn
2001
Probabilistic dynamics of two-layer geophysical flows. Zbl 1038.60054
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
2001
Exponential stability of the quasigeostrophic equation under random perturbations. Zbl 0987.76027
Duan, Jinqiao; Kloeden, Peter E.; Schmalfuss, Björn
2001
Random fixed points in a stochastic Solow growth model. Zbl 1093.91044
Schenk-Hoppé, Klaus Reiner; Schmalfuß, Björn
2001
Lyapunov functions and non-trivial stationary solutions of stochastic differential equations. Zbl 1038.60050
Schmalfuss, Björn
2001
Attractors for the non-autonomous dynamical systems. Zbl 0971.37038
Schmalfuss, Björn
2000
Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force. Zbl 0931.35124
Flandoli, Franco; Schmalfuß, Björn
1999
Measure attractors and random attractors for stochastic partial differential equations. Zbl 0944.60071
Schmalfuß, B.
1999
Towards a theory of random numerical dynamics. Zbl 0930.93071
Kloeden, Peter E.; Keller, Hannes; Schmalfuß, Björn
1999
Global attractors of nonautonomous disperse dynamical systems and differential inclusions. Zbl 1001.37012
Cheban, D. N.; Schmalfuss, B.
1999
Asymptotic behaviour of nonautonomous difference inclusions. Zbl 0902.93043
Kloeden, Peter E.; Schmalfuss, Björn
1998
A random fixed point theorem and the random graph transformation. Zbl 0931.37019
Schmalfuss, Björn
1998
Nonautonomous systems, cocycle attractors and variable time-step discretization. Zbl 0886.65077
Kloeden, Peter E.; Schmalfuß, Björn
1997
The random attractor of the stochastic Lorenz system. Zbl 0887.34057
Schmalfuß, Björn
1997
Qualitative properties for the stochastic Navier-Stokes equation. Zbl 0882.60058
Schmalfuss, Björn
1997
Cocycle attractors of variable time-step discretizations of Lorenzian systems. Zbl 0878.34043
Kloeden, P. E.; Schmalfuss, B.
1997
Random attractors for the 3D stochastic Navier-Stokes equation with multiplicative white noise. Zbl 0870.60057
Flandoli, Franco; Schmalfuss, Björn
1996
Lyapunov functions and attractors under variable time-step discretization. Zbl 0949.34042
Kloeden, Peter E.; Schmalfuss, Björn
1996
A random fixed point theorem based on Lyapunov exponents. Zbl 0876.60048
Schmalfuß, Björn
1996
Approximation of the stochastic Navier-Stokes equation. Zbl 0876.60042
Grecksch, Wilfried; Schmalfuß, Björn
1996
Fixed points and attractors for random dynamical systems. Zbl 0925.58050
Arnold, L.; Schmalfuss, B.
1996
Long-time behaviour of the stochastic Navier-Stokes equation. Zbl 0728.60069
Schmalfuss, B.
1991
Endlichdimensionale Approximation der Lösung der stochastischen Navier- Stokes-Gleichung. (Finite dimensional approximation of the solution of the stochastic Navier-Stokes equation). Zbl 0702.60059
Schmalfuss, Björn
1990
Invariant attracting sets of nonlinear stochastic differential equations. Zbl 0692.60046
Schmalfuss, B.
1989
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Cited by 795 Authors

 59 Kloeden, Peter Eris 54 Caraballo Garrido, Tomás 48 Wang, Bixiang 45 Schmalfuß, Björn 44 Duan, Jinqiao 33 Zhou, Shengfan 30 Lu, Kening 29 Garrido-Atienza, María José 28 Langa, Jose’ Antonio 22 Valero, José 22 Wang, Yejuan 21 Li, Yangrong 19 Han, Xiaoying 17 Gu, Anhui 15 Wang, Renhai 14 Real Anguas, José 14 Wang, Zhaojuan 13 Li, Dingshi 13 Marín-Rubio, Pedro 12 Gao, Hongjun 12 Robinson, James Cooper 12 Zhao, Wenqiang 11 Shu, Ji 11 Tachim Medjo, Theodore 11 Wang, Wei 11 Wang, Xiaohu 11 Yang, Meihua 10 Brzeźniak, Zdzisław 10 Huang, Jianhua 10 Shi, Lin 10 You, Bo 9 Cheban, David Nikolai 9 Cui, Hongyong 9 Li, Desheng 9 Li, Fang 9 Liu, Xianming 9 Nolasco de Carvalho, Alexandre 9 Rasmussen, Martin 9 Zhao, Huaizhong 8 Chueshov, Igor’ Dmitrievich 8 Duc, Luu Hoang 7 Anguiano, María 7 Bates, Peter W. 7 Bessaih, Hakima 7 Flandoli, Franco 7 Gess, Benjamin 7 Maslowski, Bohdan 7 Zhao, Caidi 6 Kapustyan, Oleksiy V. 6 Lorenz, Thomas 6 Lv, Yan 6 Neuenkirch, Andreas 6 Reitmann, Volker 6 Shen, Wenxian 6 Siegmund, Stefan 6 Temam, Roger Meyer 6 You, Yuncheng 6 Zeng, Caibin 5 Chen, Guanggan 5 Colucci, Renato 5 Crauel, Hans 5 Guo, Boling 5 Ju, Xuewei 5 Łukaszewicz, Grzegorz 5 Neamţu, Alexandra 5 Obaya, Rafael 5 Park, Jong Yeoul 5 Qiao, Huijie 5 Shen, Jun 5 Yang, Desheng 5 Zhang, Jian 5 Zhang, Yijin 5 Zhao, Junyilang 5 Zhong, Chengkui 4 Chepyzhov, Vladimir V. 4 Ding, Xiaoquan 4 Doan, Thai Son 4 Fan, Xiaoming 4 Feng, Chunrong 4 Guo, Yanfeng 4 Hong, Phan Thanh 4 Jentzen, Arnulf 4 Jiang, Jifa 4 Li, Xiaojun 4 Lisei, Hannelore 4 Liu, Jicheng 4 Liu, Zhenxin 4 López-de-la-Cruz, Javier 4 Morillas, Francisco G. 4 Roberts, Anthony John 4 Schenk-Hoppé, Klaus Reiner 4 Suárez, Antonio 4 Sun, Chunyou 4 Tindel, Samy 4 Wang, Jingyu 4 Wang, Yonghai 4 Wu, Fuke 4 Xin, Jie 4 Xu, Daoyi 4 Yang, Lu ...and 695 more Authors
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Cited in 159 Serials

 97 Journal of Differential Equations 56 Stochastics and Dynamics 54 Discrete and Continuous Dynamical Systems. Series B 53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 43 Journal of Mathematical Analysis and Applications 30 Journal of Dynamics and Differential Equations 28 Journal of Mathematical Physics 25 Stochastic Analysis and Applications 24 Discrete and Continuous Dynamical Systems 19 Applied Mathematics and Computation 16 Journal of Difference Equations and Applications 15 Physica D 15 Communications on Pure and Applied Analysis 14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Stochastic Processes and their Applications 13 Abstract and Applied Analysis 11 Nonlinear Analysis. Real World Applications 11 Dynamical Systems 9 Computers & Mathematics with Applications 8 Nonlinearity 8 Journal of Functional Analysis 8 Advances in Difference Equations 7 Applicable Analysis 6 Mathematical Methods in the Applied Sciences 6 Stochastics 5 Proceedings of the American Mathematical Society 5 Mathematical Problems in Engineering 5 Differential Equations and Dynamical Systems 5 Chaos 5 Journal of Mathematical Fluid Mechanics 5 SIAM Journal on Applied Dynamical Systems 5 Journal of Applied Analysis and Computation 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Transactions of the American Mathematical Society 4 SIAM Journal on Mathematical Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 Communications in Nonlinear Science and Numerical Simulation 4 Discrete and Continuous Dynamical Systems. Series S 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 Journal of Statistical Physics 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Optimization 3 BIT 3 Czechoslovak Mathematical Journal 3 Journal of Mathematical Economics 3 Quarterly of Applied Mathematics 3 Chinese Annals of Mathematics. Series B 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Set-Valued Analysis 3 Nonlinear Dynamics 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Discrete Dynamics in Nature and Society 3 Differential Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Frontiers of Mathematics in China 3 Set-Valued and Variational Analysis 3 Science China. Mathematics 3 Nonautonomous Dynamical Systems 2 Communications in Mathematical Physics 2 Journal of Computational Physics 2 Ukrainian Mathematical Journal 2 Bulletin of Mathematical Biology 2 The Annals of Probability 2 Journal of Computational and Applied Mathematics 2 Memoirs of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Statistics & Probability Letters 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Probability Theory and Related Fields 2 Journal of Economic Dynamics & Control 2 Applied Mathematics Letters 2 Vestnik St. Petersburg University. Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Complexity 2 Journal of Mathematical Chemistry 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Journal of Evolution Equations 2 Differentsial’nye Uravneniya i Protsessy Upravleniya 2 Entropy 2 Boundary Value Problems 2 GAMM-Mitteilungen 2 Journal of Nonlinear Science and Applications 2 Advances in Mathematical Physics 2 Open Mathematics 2 Electronic Research Archive 1 Archive for Rational Mechanics and Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Numerische Mathematik 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis ...and 59 more Serials
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Cited in 36 Fields

 492 Dynamical systems and ergodic theory (37-XX) 429 Partial differential equations (35-XX) 394 Probability theory and stochastic processes (60-XX) 171 Ordinary differential equations (34-XX) 82 Fluid mechanics (76-XX) 39 Numerical analysis (65-XX) 39 Systems theory; control (93-XX) 37 Biology and other natural sciences (92-XX) 28 Geophysics (86-XX) 24 Operator theory (47-XX) 23 Difference and functional equations (39-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Real functions (26-XX) 9 Mechanics of deformable solids (74-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Mechanics of particles and systems (70-XX) 6 Measure and integration (28-XX) 5 Integral equations (45-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Statistics (62-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)