|
|
|
Publications of Dirk Blömker (updated: 14.04.2010)
|
Books: |
Amplitude equations for stochastic partial differential equations.
126S., Vol. 3 of Interdisciplinary Mathematical Sciences,
World Scientific Publishing, Singapore, (2007)
Stochastic Partial Differential Equations and Surface Growth.
141S., Vol. 35 of Augsburger mathematisch-naturwissenschaftliche Schriften,
Wissner Verlag, Augsburg, (2000).
|
Preprints: |
Local existence and uniqueness in the largest critical space
for a surface growth model.
(with M. Romito)
Preprint , 2010.
Asymptotic compactness of stochastic complex Ginzburg-Landau
equation on an unbounded domain.
(with Yongqian Han)
Preprint , 2009.
Galerkin approximations for the stochastic Burgers equation.
(with A. Jentzen)
Preprint , 2009.
Some Remarks on Stabilization by Additive Noise.
(with M. Hairer, G. Pavliotis)
Preprint , 2008.
Karhunen-Loeve expansion of vector random processes.
(with D. Dahlhaus, H. Hadinejad-Mahram)
Technischer Report No. IKT-NT 1019,
Institut für Kommunikationstechnik, ETH Zürich, 2002.
|
Article in refereed journals: |
Qualitative Properties of Local Random Invariant Manifolds
for SPDEs with Quadratic Nonlinearity.
(with W. Wang)
erscheint in
Journal of Dynamics and Differential Equations
Preprint , 2008.
Nucleation in the One-Dimensional Stochastic Cahn-Hilliard Model.
(with B. Gawron, T. Wanner)
Discrete and Continuous Dynamical Systems, Series A 27(1), pp. 25-52, 2010.
Preprint , 2009.
Regularity and blow-up in a surface growth model.
(with M. Romito)
Dyn. Partial Differ. Equ. 6 (2009), no. 3, 227-252.
Preprint , 2009.
Amplitude equations for SPDE with quadratic nonlinearities.
(with W.W.E. Mohammed)
Electron. J. Probab. 14 (2009), no. 88, 2527-2550.
Preprint , 2009.
Markovianity and ergodicity for a surface growth PDE
(with F. Flandoli, M. Romito)
Ann. Probab. 37 (2009), no. 1, 275-313.
Second phase spinodal decomposition for the Cahn-Hillard-Cook equation.
(with S. Maier-Paape, T. Wanner),
Transactions of the American Mathematical Society, 360:449-489, 2008.
Multiscale analysis for SPDEs with quadratic nonlinearities.
(with M. Hairer, G.A. Pavliotis),
Nonlinearity, 20:1721-1744, 2007
A branching process representation for the solutions to some
non-linear PDEs via pruned trees.
(with M. Romito, R. Tribe),
Annales de'l Institut Henri Poincare - Probability and Statistics,
43(2):175-192, 2007.
Approximation of the stochastic Rayleigh-Benard problem
near the onset of convection and related problems.
Stochastics and Dynamics, 23(2):255-274, 2005.
Modulation equation for SPDEs on large domains.
(with M. Hairer, G. Pavliotis),
Communications in Mathematical Physics,
258:479-512, 2005.
Non-homogeneous noise and Q-Wiener processes on bounded domains.
Stochastic Analysis and Applications, 23(2):255-273, 2005.
Matched Filter Bound for Binary Signaling over Dispersive Fading Channels with Receive Diversity.
(with D. Dahlhaus, H. Hadinejad-Mahram),
IEEE Transactions on Communications,
52(12):2082-2086, 2004.
Multiscale expansion of invariant measures.
(with M. Hairer),
Communications in Mathematical Physics,
251(3):515-555, 2004.
Stationary solutions for a model of amorphous thin-film growth.
(with M. Hairer),
Stochastic Analysis and Applications,
22(4):903-922, 2004.
Amplitude equations for locally cubic non-autonomous nonlinearities.
SIAM Journal on Applied Dynamical Systems,
2(2):464-486, 2003.
Pattern formation below criticality forced by noise.
(with S. Maier-Paape),
Zeitschrift für angewandte Mathematik und Physik,
54(1):1-25, 2003.
Stochastic Navier-Stokes equation and renormalization group theory.
(with C. Gugg, S. Maier-Paape),
Physica D: Nonlinear Phenomena,
173(3-4):137-152, 2002.
Thin-film-growth-models: Roughness and correlation functions.
(with C. Gugg, M. Raible),
European Journal of Applied Math.
13:385-402, 2002.
Enstrophy dynamics of stochastically forced large-scale geophysical flows
(with J. Duan, T. Wanner),
Journal of Mathematical Physics,
43(5):2616-2626, 2002.
On the existence of solutions for an equation arising in
molecular beam epitaxy.
(with C. Gugg),
Journal of Nonlinear Analysis:
Series B Real World Applications,
3(1):61-73, 2002.
The stochastic Landau equation as an amplitude equation.
(with S. Maier-Paape, G. Schneider),
Discrete and Continuous Dynamical Systems, Series B,
1(4):527-541, 2001.
Spinodal decomposition for the Cahn-Hilliard-Cook equation.
(with S. Maier-Paape, T. Wanner),
Communications in Mathematical Physics,
223(3):553-582, 2001.
Roughness in surface growth equations.
(with S. Maier-Paape, T. Wanner),
Interfaces and Free Boundaries,
3(4):465-484, 2001.
Surface roughness in molecular beam epitaxy.
(with S. Maier-Paape, T. Wanner),
Stochastics and Dynamics,
1(2):239-260, 2001.
|
Bookchapters: |
Predictability of the Burgers dynamics under model uncertainty.
(with J. Duan),
pp. 71-90 in Stochastic differential equations: Theory and applications.
A Volume in Honor of Professor Boris L Rozovskii (Ed. P. Baxendale, S. Lototsky), 2007.
Phase separation in stochastic Cahn-Hillard models.
(with S. Maier-Paape, T. Wanner),
pp. 1-41, in: Mathematical Models and Methods in Phase Transitions,
(Ed. A. Miranville), Nova publications, 2005.
Amplitude equations for SPDEs:
Approximate centre manifolds and invariant measures.
(with M. Hairer),
pp. 41-60, IMA Volume 140 Probability and
partial differential equations in modern applied mathematics,
(Ed. J. Duan, E.C. Waymire), Springer, 2005
|
Other refereed articles: |
Stabilization due to Additive noise.
Oberwolfach Reports, Volume 5, Issue 4, 2821-2823, 2008
Infinite Dimensional Random Dynamical Systems and Their Applications. pp. 2815-2874
(Eds. F. Flandoli, P. Kloeden, A. Stuart)
Stochastic Swift-Hohenberg equation near a change of stability.
(with M. Hairer, G. Pavliotis),
pp. 27-37 in Proceedingd of Equadiff 11,
Proceedings of minisymposia and contributed talks, July 25-29, 2005, Bratislava,
(Ed. M. Fila, A. Handlovicova, K. Mikula, M. Medved, P. Quittner und D. Sevcovic), 2007.
Stochastic Modulation equations.
(with M. Hairer, G. Pavliotis),
PAMM, 5(1):611-612, 2005,
Proceedings of the GAMM anual meeting.
Thin-Film-Growth-Models: On local solutions.
(with C. Gugg),
pp. 66-77 in
Recent Developments in Stochastic Analysis and Related Topics,
World Scientific, Singapore.
Proceedings of the First Sino-German Conference on Stochastic Analysis,
(Ed. S. Albeverio, Z.M. Ma, M. Röckner), 2004.
Spinodal decomposition for the stochastic Cahn-Hillard equation.
(with S. Maier-Paape und T. Wanner)
Proceedings of the Equadiff'99, Vol.2, 1265-1267, 2000,
World Scientific Publishing, Singapore.
|
|
