# zbMATH — the first resource for mathematics

## Blömker, Dirk

Compute Distance To:
 Author ID: blomker.dirk Published as: Blömker, D.; Blömker, Dirk Homepage: https://www.uni-augsburg.de/de/fakultaet/mntf/math/prof/ana/prof-dr-dirk-blomker... External Links: MGP · ResearchGate
 Documents Indexed: 66 Publications since 2000, including 2 Books
all top 5

#### Co-Authors

 6 single-authored 9 Mohammed, Wael W. 9 Wanner, Thomas 8 Maier-Paape, Stanislaus 7 Hairer, Martin 7 Romito, Marco 4 Bianchi, Luigi Amedeo 4 Gugg, Christoph 4 Wacker, Philipp 3 Antonopoulou, Dimitra C. 3 Kamrani, Minoo 3 Karali, Georgia D. 3 Klepel, Konrad 3 Nolde, Christian 3 Pavliotis, Grigorios A. 2 Duan, Jinqiao 2 Hosseini, Seyed Mohammad 2 Schillings, Claudia 2 Schneider, Guido 1 Bates, Peter W. 1 Cannizzaro, Giuseppe 1 Flandoli, Franco 1 Fu, Hongbo 1 Gawron, Bernhard 1 Ghayebi, Bakhtiyar 1 Han, Yongqian 1 Jentzen, Arnulf 1 Law, Kody J. H. 1 Pavliotis, Greg A. 1 Raible, Martin 1 Robinson, James Cooper 1 Sander, Evelyn 1 Schindler, Alexander 1 Stuart, Andrew M. 1 Tribe, Roger P. 1 Wang, Wei 1 Weissmann, Simon 1 Wöhrl, Franz 1 Yang, Meihua 1 Zygalakis, Konstantinos C.
all top 5

#### Serials

 4 Communications in Mathematical Physics 4 Nonlinearity 4 Stochastic Analysis and Applications 4 SIAM Journal on Mathematical Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Stochastics and Dynamics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Mathematical Analysis and Applications 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Applied Dynamical Systems 1 IMA Journal of Numerical Analysis 1 Inverse Problems 1 Journal of Mathematical Physics 1 The Annals of Probability 1 BIT 1 Transactions of the American Mathematical Society 1 Physica D 1 European Journal of Applied Mathematics 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Journal of Probability 1 Discrete and Continuous Dynamical Systems 1 Interfaces and Free Boundaries 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Dynamics of Partial Differential Equations 1 Stochastics 1 Interdisciplinary Mathematical Sciences 1 PAMM. Proceedings in Applied Mathematics and Mechanics
all top 5

#### Fields

 56 Probability theory and stochastic processes (60-XX) 43 Partial differential equations (35-XX) 10 Numerical analysis (65-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Fluid mechanics (76-XX) 4 Mechanics of deformable solids (74-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

56 Publications have been cited 427 times in 227 Documents Cited by Year
Galerkin approximations for the stochastic Burgers equation. Zbl 1267.60071
Blömker, Dirk; Jentzen, Arnulf
2013
Accuracy and stability of the continuous-time 3DVAR filter for the Navier-Stokes equation. Zbl 1271.34013
Blömker, D.; Law, K.; Stuart, A. M.; Zygalakis, K. C.
2013
Spinodal decomposition for the Cahn-Hilliard-Cook equation. Zbl 0993.60061
Blömker, Dirk; Maier-Paape, Stanislaus; Wanner, Thomas
2001
Second phase spinodal decomposition for the Cahn-Hilliard-Cook equation. Zbl 1130.60066
Blömker, Dirk; Maier-Paape, Stanislaus; Wanner, Thomas
2008
Regularity and blow up in a surface growth model. Zbl 1179.35083
Blömker, Dirk; Romito, Marco
2009
Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004
Blömker, D.; Hairer, M.; Pavliotis, G. A.
2007
Markovianity and ergodicity for a surface growth PDE. Zbl 1184.60024
Blömker, Dirk; Flandoli, Franco; Romito, Marco
2009
Amplitude equations for stochastic partial differential equations. Zbl 1128.60049
Blömker, Dirk
2007
Amplitude equations for SPDEs with cubic nonlinearities. Zbl 1291.60127
Blömker, Dirk; Mohammed, Wael W.
2013
Full discretization of the stochastic Burgers equation with correlated noise. Zbl 1280.65008
Blömker, Dirk; Kamrani, Minoo; Hosseini, S. Mohammad
2013
Local existence and uniqueness in the largest critical space for a surface growth model. Zbl 1252.35045
Blömker, Dirk; Romito, Marco
2012
Qualitative properties of local random invariant manifolds for SPDEs with quadratic nonlinearity. Zbl 1205.35347
Blömker, Dirk; Wang, Wei
2010
Amplitude equation for SPDEs with quadratic nonlinearities. Zbl 1197.60061
Blömker, Dirk; Mohammed, Wael W.
2009
Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038
Blömker, D.; Hairer, M.; Pavliotis, G. A.
2005
Nonhomogeneous noise and $$Q$$-Wiener processes on bounded domains. Zbl 1068.60058
Blömker, Dirk
2005
The stochastic Landau equation as an amplitude equation. Zbl 1004.60074
Blömker, D.; Maier-Paape, S.; Schneider, G.
2001
A strongly convergent numerical scheme from ensemble Kalman inversion. Zbl 1432.60067
Blömker, Dirk; Schillings, Claudia; Wacker, Philipp
2018
Rigorous numerical verification of uniqueness and smoothness in a surface growth model. Zbl 1315.65092
Blömker, Dirk; Nolde, Christian; Robinson, James C.
2015
Multiscale expansion of invariant measures for SPDEs. Zbl 1066.60057
Blömker, Dirk; Hairer, Martin
2004
Thin-film-growth models: roughness and correlation functions. Zbl 1020.82014
Blömker, Dirk; Gugg, Christoph; Raible, Martin
2002
Modulation equation for stochastic Swift-Hohenberg equation. Zbl 1264.60039
Mohammed, Wael W.; Blömker, Dirk; Klepel, Konrad
2013
Motion of a droplet for the stochastic mass-conserving Allen-Cahn equation. Zbl 1439.35232
Antonopoulou, D. C.; Bates, P. W.; Blömker, D.; Karali, G. D.
2016
Stochastic PDEs and lack of regularity: a surface growth equation with noise: existence, uniqueness, and blow-up. Zbl 1334.35447
Blömker, Dirk; Romito, Marco
2015
Nucleation in the one-dimensional stochastic Cahn-Hilliard model. Zbl 1196.35234
Blömker, Dirk; Gawron, Bernhard; Wanner, Thomas
2010
Amplitude equations for locally cubic nonautonomous nonlinearities. Zbl 1088.60062
Blömker, Dirk
2003
Front motion in the one-dimensional stochastic Cahn-Hilliard equation. Zbl 1270.35040
Antonopoulou, D. C.; Blömker, D.; Karali, G. D.
2012
Stationary solutions for a model of amorphous thin-film growth. Zbl 1057.60060
Blömker, Dirk; Hairer, Martin
2004
Degenerate nucleation in the Cahn-Hilliard-Cook model. Zbl 1439.35583
Blömker, Dirk; Sander, Evelyn; Wanner, Thomas
2016
Amplitude equation for the generalized Swift-Hohenberg equation with noise. Zbl 1322.60117
Klepel, Konrad; Blömker, Dirk; Mohammed, Wael W.
2014
Multi-scale analysis of SPDEs with degenerate additive noise. Zbl 1294.60089
Mohammed, Wael W.; Blömker, Dirk; Klepel, Konrad
2014
Well posedness and convergence analysis of the ensemble Kalman inversion. Zbl 1432.62325
Blömker, Dirk; Schillings, Claudia; Wacker, Philipp; Weissmann, Simon
2019
Asymptotic compactness of stochastic complex Ginzburg-Landau equation on an unbounded domain. Zbl 1216.35186
Blömker, Dirk; Han, Yongqian
2010
On the existence of solutions for amorphous molecular beam epitaxy. Zbl 1027.60063
Blömker, Dirk; Gugg, Christoph
2002
A probabilistic representation for the solutions to some non-linear PDEs using pruned branching trees. Zbl 1119.60060
Blömker, D.; Romito, M.; Tribe, R.
2007
Stochastic Navier-Stokes equation and renormalization group theory. Zbl 1021.35078
Blömker, Dirk; Gugg, Christoph; Maier-Paape, Stanislaus
2002
Roughness in surface growth equations. Zbl 0989.35147
Blömker, Dirk; Maier-Paape, Stanislaus; Wanner, Thomas
2001
The sharp interface limit for the stochastic Cahn-Hilliard equation. Zbl 1391.35192
Antonopoulou, D. C.; Blömker, D.; Karali, G. D.
2018
Additive noise destroys the random attractor close to bifurcation. Zbl 1357.60064
Bianchi, Luigi Amedeo; Blömker, Dirk; Yang, Meihua
2016
Fast diffusion limit for reaction-diffusion systems with stochastic Neumann boundary conditions. Zbl 1350.60059
Mohammed, Wael W.; Blömker, Dirk
2016
Predictability of the Burgers dynamics under model uncertainty. Zbl 1133.60028
Blömker, Dirk; Duan, Jinqiao
2007
Pattern formation below criticality forced by noise. Zbl 1018.60064
Blömker, Dirk; Maier-Paape, Stanislaus
2003
Numerically computable a posteriori-bounds for the stochastic Allen-Cahn Equation. Zbl 1433.60073
Blömker, Dirk; Kamrani, Minoo
2019
Pattern size in Gaussian fields from spinodal decomposition. Zbl 1371.60091
Bianchi, Luigi Amedeo; Blömker, Dirk; Wacker, Philipp
2017
Local existence and uniqueness for a two-dimensional surface growth equation with space-time white noise. Zbl 1292.35345
Blömker, Dirk; Romito, Marco
2013
Approximation of the stochastic Rayleigh-Bénard problem near the onset of convection and related problems. Zbl 1092.60023
Blömker, Dirk
2005
Thin-film-growth-models: on local solutions. Zbl 1080.60063
Blömker, Dirk; Gugg, Christoph
2004
Enstrophy dynamics of stochastically forced large-scale geophysical flows. Zbl 1059.76008
Blömker, Dirk; Duan, Jinqiao; Wanner, Thomas
2002
Spinodal decomposition for the stochastic Cahn-Hilliard equation. Zbl 0966.60057
Blömker, Dirk; Maier-Paape, Stanislaus; Wanner, Thomas
2000
Modulation equation and SPDEs on unbounded domains. Zbl 1435.35292
Bianchi, Luigi Amedeo; Blömker, Dirk; Schneider, Guido
2019
Pathwise convergence of a numerical method for stochastic partial differential equations with correlated noise and local Lipschitz condition. Zbl 1364.60088
Kamrani, Minoo; Blömker, Dirk
2017
Numerical solution of the Burgers equation with Neumann boundary noise. Zbl 1354.60068
Ghayebi, Bakhtiyar; Hosseini, S. Mohammad; Blömker, Dirk
2017
Fast-diffusion limit with large noise for systems of stochastic reaction-diffusion equations. Zbl 1350.60060
Mohammed, Wael W.; Blömker, Dirk
2016
Modulation equation for SPDEs in unbounded domains with space-time white noise – linear theory. Zbl 1347.60076
Bianchi, Luigi Amedeo; Blömker, Dirk
2016
Numerical study of amplitude equations for SPDEs with degenerate forcing. Zbl 1255.65181
Blömker, Dirk; Mohammed, Wael W.; Nolde, Christian; Wöhrl, Franz
2012
Some remarks on stabilization by additive noise. Zbl 1279.60076
Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A.
2010
Amplitude equations for SPDEs: approximate centre manifolds and invariant measures. Zbl 1098.60057
Blömker, Dirk; Hairer, Martin
2005
Well posedness and convergence analysis of the ensemble Kalman inversion. Zbl 1432.62325
Blömker, Dirk; Schillings, Claudia; Wacker, Philipp; Weissmann, Simon
2019
Numerically computable a posteriori-bounds for the stochastic Allen-Cahn Equation. Zbl 1433.60073
Blömker, Dirk; Kamrani, Minoo
2019
Modulation equation and SPDEs on unbounded domains. Zbl 1435.35292
Bianchi, Luigi Amedeo; Blömker, Dirk; Schneider, Guido
2019
A strongly convergent numerical scheme from ensemble Kalman inversion. Zbl 1432.60067
Blömker, Dirk; Schillings, Claudia; Wacker, Philipp
2018
The sharp interface limit for the stochastic Cahn-Hilliard equation. Zbl 1391.35192
Antonopoulou, D. C.; Blömker, D.; Karali, G. D.
2018
Pattern size in Gaussian fields from spinodal decomposition. Zbl 1371.60091
Bianchi, Luigi Amedeo; Blömker, Dirk; Wacker, Philipp
2017
Pathwise convergence of a numerical method for stochastic partial differential equations with correlated noise and local Lipschitz condition. Zbl 1364.60088
Kamrani, Minoo; Blömker, Dirk
2017
Numerical solution of the Burgers equation with Neumann boundary noise. Zbl 1354.60068
Ghayebi, Bakhtiyar; Hosseini, S. Mohammad; Blömker, Dirk
2017
Motion of a droplet for the stochastic mass-conserving Allen-Cahn equation. Zbl 1439.35232
Antonopoulou, D. C.; Bates, P. W.; Blömker, D.; Karali, G. D.
2016
Degenerate nucleation in the Cahn-Hilliard-Cook model. Zbl 1439.35583
Blömker, Dirk; Sander, Evelyn; Wanner, Thomas
2016
Additive noise destroys the random attractor close to bifurcation. Zbl 1357.60064
Bianchi, Luigi Amedeo; Blömker, Dirk; Yang, Meihua
2016
Fast diffusion limit for reaction-diffusion systems with stochastic Neumann boundary conditions. Zbl 1350.60059
Mohammed, Wael W.; Blömker, Dirk
2016
Fast-diffusion limit with large noise for systems of stochastic reaction-diffusion equations. Zbl 1350.60060
Mohammed, Wael W.; Blömker, Dirk
2016
Modulation equation for SPDEs in unbounded domains with space-time white noise – linear theory. Zbl 1347.60076
Bianchi, Luigi Amedeo; Blömker, Dirk
2016
Rigorous numerical verification of uniqueness and smoothness in a surface growth model. Zbl 1315.65092
Blömker, Dirk; Nolde, Christian; Robinson, James C.
2015
Stochastic PDEs and lack of regularity: a surface growth equation with noise: existence, uniqueness, and blow-up. Zbl 1334.35447
Blömker, Dirk; Romito, Marco
2015
Amplitude equation for the generalized Swift-Hohenberg equation with noise. Zbl 1322.60117
Klepel, Konrad; Blömker, Dirk; Mohammed, Wael W.
2014
Multi-scale analysis of SPDEs with degenerate additive noise. Zbl 1294.60089
Mohammed, Wael W.; Blömker, Dirk; Klepel, Konrad
2014
Galerkin approximations for the stochastic Burgers equation. Zbl 1267.60071
Blömker, Dirk; Jentzen, Arnulf
2013
Accuracy and stability of the continuous-time 3DVAR filter for the Navier-Stokes equation. Zbl 1271.34013
Blömker, D.; Law, K.; Stuart, A. M.; Zygalakis, K. C.
2013
Amplitude equations for SPDEs with cubic nonlinearities. Zbl 1291.60127
Blömker, Dirk; Mohammed, Wael W.
2013
Full discretization of the stochastic Burgers equation with correlated noise. Zbl 1280.65008
Blömker, Dirk; Kamrani, Minoo; Hosseini, S. Mohammad
2013
Modulation equation for stochastic Swift-Hohenberg equation. Zbl 1264.60039
Mohammed, Wael W.; Blömker, Dirk; Klepel, Konrad
2013
Local existence and uniqueness for a two-dimensional surface growth equation with space-time white noise. Zbl 1292.35345
Blömker, Dirk; Romito, Marco
2013
Local existence and uniqueness in the largest critical space for a surface growth model. Zbl 1252.35045
Blömker, Dirk; Romito, Marco
2012
Front motion in the one-dimensional stochastic Cahn-Hilliard equation. Zbl 1270.35040
Antonopoulou, D. C.; Blömker, D.; Karali, G. D.
2012
Numerical study of amplitude equations for SPDEs with degenerate forcing. Zbl 1255.65181
Blömker, Dirk; Mohammed, Wael W.; Nolde, Christian; Wöhrl, Franz
2012
Qualitative properties of local random invariant manifolds for SPDEs with quadratic nonlinearity. Zbl 1205.35347
Blömker, Dirk; Wang, Wei
2010
Nucleation in the one-dimensional stochastic Cahn-Hilliard model. Zbl 1196.35234
Blömker, Dirk; Gawron, Bernhard; Wanner, Thomas
2010
Asymptotic compactness of stochastic complex Ginzburg-Landau equation on an unbounded domain. Zbl 1216.35186
Blömker, Dirk; Han, Yongqian
2010
Some remarks on stabilization by additive noise. Zbl 1279.60076
Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A.
2010
Regularity and blow up in a surface growth model. Zbl 1179.35083
Blömker, Dirk; Romito, Marco
2009
Markovianity and ergodicity for a surface growth PDE. Zbl 1184.60024
Blömker, Dirk; Flandoli, Franco; Romito, Marco
2009
Amplitude equation for SPDEs with quadratic nonlinearities. Zbl 1197.60061
Blömker, Dirk; Mohammed, Wael W.
2009
Second phase spinodal decomposition for the Cahn-Hilliard-Cook equation. Zbl 1130.60066
Blömker, Dirk; Maier-Paape, Stanislaus; Wanner, Thomas
2008
Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004
Blömker, D.; Hairer, M.; Pavliotis, G. A.
2007
Amplitude equations for stochastic partial differential equations. Zbl 1128.60049
Blömker, Dirk
2007
A probabilistic representation for the solutions to some non-linear PDEs using pruned branching trees. Zbl 1119.60060
Blömker, D.; Romito, M.; Tribe, R.
2007
Predictability of the Burgers dynamics under model uncertainty. Zbl 1133.60028
Blömker, Dirk; Duan, Jinqiao
2007
Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038
Blömker, D.; Hairer, M.; Pavliotis, G. A.
2005
Nonhomogeneous noise and $$Q$$-Wiener processes on bounded domains. Zbl 1068.60058
Blömker, Dirk
2005
Approximation of the stochastic Rayleigh-Bénard problem near the onset of convection and related problems. Zbl 1092.60023
Blömker, Dirk
2005
Amplitude equations for SPDEs: approximate centre manifolds and invariant measures. Zbl 1098.60057
Blömker, Dirk; Hairer, Martin
2005
Multiscale expansion of invariant measures for SPDEs. Zbl 1066.60057
Blömker, Dirk; Hairer, Martin
2004
Stationary solutions for a model of amorphous thin-film growth. Zbl 1057.60060
Blömker, Dirk; Hairer, Martin
2004
Thin-film-growth-models: on local solutions. Zbl 1080.60063
Blömker, Dirk; Gugg, Christoph
2004
Amplitude equations for locally cubic nonautonomous nonlinearities. Zbl 1088.60062
Blömker, Dirk
2003
Pattern formation below criticality forced by noise. Zbl 1018.60064
Blömker, Dirk; Maier-Paape, Stanislaus
2003
Thin-film-growth models: roughness and correlation functions. Zbl 1020.82014
Blömker, Dirk; Gugg, Christoph; Raible, Martin
2002
On the existence of solutions for amorphous molecular beam epitaxy. Zbl 1027.60063
Blömker, Dirk; Gugg, Christoph
2002
Stochastic Navier-Stokes equation and renormalization group theory. Zbl 1021.35078
Blömker, Dirk; Gugg, Christoph; Maier-Paape, Stanislaus
2002
Enstrophy dynamics of stochastically forced large-scale geophysical flows. Zbl 1059.76008
Blömker, Dirk; Duan, Jinqiao; Wanner, Thomas
2002
Spinodal decomposition for the Cahn-Hilliard-Cook equation. Zbl 0993.60061
Blömker, Dirk; Maier-Paape, Stanislaus; Wanner, Thomas
2001
The stochastic Landau equation as an amplitude equation. Zbl 1004.60074
Blömker, D.; Maier-Paape, S.; Schneider, G.
2001
Roughness in surface growth equations. Zbl 0989.35147
Blömker, Dirk; Maier-Paape, Stanislaus; Wanner, Thomas
2001
Spinodal decomposition for the stochastic Cahn-Hilliard equation. Zbl 0966.60057
Blömker, Dirk; Maier-Paape, Stanislaus; Wanner, Thomas
2000
all top 5