Article in refereed journals
- The impact of multiplicative noise in SPDEs close to bifurcation via amplitude equations? (with Hongbo Fu),
Nonlinearity 33 3905, 2020
ArXive, 2019 - Stochastic Cahn-Hilliard equation in higher space dimensions: The motion of bubbles (with A. Schindler),
Z. Angew. Math. Phys. 71, 49 (2020).
ArXive, 2019 - Rigorous a-posteriori analysis using numerical eigenvalue bounds in a surface growth model (with C. Nolde) , 2017.
Journal of Dynamics and Differential Equations: 32:1233-1247, (2020)
ArXive, 2017. - Random initial conditions for semi-linear PDEs
(with G. Cannizzaro, M. Romito)
Proceedings A of the Royal Society of Edinburgh: 150(3):1533-1565, (2020)
ArXive, 2017. - Well Posedness and Convergence Analysis of the Ensemble Kalman Inversion
(with C. Schillings, P. Wacker, S. Weissmann4)
Inverse Problems: 35:085007, (2019)
ArXive, 2018. - Modulation equation and SPDEs on unbounded domains (with L. A. Bianchi und G. Schneider) ;
Comm Math. Phys. 371;19–54, (2019).
ArXive, 2017. - A strongly convergent numerical scheme from EnKF continuum analysis
(with C. Schillings, P. Wacker)
SIAM Journal on Numerical Analysis (SINUM)56(4):2537--2562, (2018)
ArXive, 2017. - The Sharp interface limit for the stochastic Cahn-Hilliard equation.
(with D.C. Antonopoulou, G.D. Karali)
Annales de l’Institut Henri Poincare54(1):280-298, (2018)
Preprint, 2015. - Pattern Size in Gaussian Fields from spinodal decomposition.
(with Luigi A. Bianchi, Philipp Wacker)
SIAM Journal on Applied Mathematics (SIAP), 77(4):1292-1319, (2017)
ArXive, 2015. - Numerical Solution of Stochastic Partial Differential Equations with Correlated Noise
(with M. Kamrani)
Journal of Computational and Applied Mathematics, 323:123-135, (2017)
Preprint, 2013. - Probabilistic Estimates of the Maximum Norm of Random Neumann Fourier Series.
(with Philipp Wacker, Thomas Wanner)
Communications in Nonlinear Science and Numerical Simulation 47:348-369, (2017)
ArXive, 2016. - Numerical Solution of the Burgers equation with Neumann boundary noise.
(with B. Ghayebi, S.M. Hosseini)
Journal of Computational and Applied Mathematics,311:148-164, (2017)
Preprint, 2014. - Additive noise destroys the random attractor close to bifurcation.
(with Luigi A. Bianchi, Meihua Yang)
Nonlinearity 29(12):3934, (2016).
ArXive,2016. - Fast Diffusion Limit for Reaction-Diffusion Systems with Stochastic Neumann Boundary Conditions.
(with Wael W.Mohammed)
SIMA, SIAM Journal on Mathematical Analysis, 48(5):3547-3578, (2016)
Preprint, 2014. - Modulation Equation for SPDEs in unbounded domains with space-time white noise -- Linear Theory (with L. A. Bianchi)
Stochastic Processes and their Applications 126(10):3171-3201, (2016)
Preprint ArXive, 2015. - Fast-Diffusion Limit with Large Noise for Systems of Stochastic Reaction-Diffusion Equations
(with Wael W.Mohammed)
Stochastic Analysis and Applications, 34(6):961-978, (2016)
Preprint , 2014. - Motion of a droplet for the mass-conserving stochastic Allen-Cahn equation.
(with D.C. Antonopoulou, P.W. Bates, G.D. Karali)
(SIMA) SIAM Journal Mathematical Analysis,48-1 (2016), pp. 670-708
Preprint, 2015. - Degenerate Nucleation in the Cahn-Hilliard-Cook Model.
(with E. Sander, T. Wanner)
SIAM J. Appl. Dyn. Syst. 15-1 (2016), pp. 459-494
Preprint, 2015. - Stochastic PDEs and lack of regularity. (A surface growth equation with noise: existence, uniqueness, and blow-up)
(with M. Romito)
Jahresbericht der Deutschen Mathematiker-Vereinigung, 117(4):233-286, 2015. - Rigorous Numerical Verification of Uniqueness and Smoothness in a Surface Growth Model
(with C. Nolde, J. Robinson)
Journal of Mathematical Analysis and Applications 429(1):311-325, 2015.
Preprint, 2013. - Multi-Scale Analysis of SPDEs with Degenerate Additive Noise
(with K. Klepel, W. W. Mohammed)
Journal of Evolution Equations14(2), 273-298, 2014.
Preprint, 2013. - Accuracy and Stability of the Continuous-Time 3DVAR Filter for the Navier-Stokes Equation
(with K. Law, A. M. Stuart, K. C. Zygalakis)
Nonlinearity 26:2193-2219, 2013.
Preprint, 2012. - Amplitude Equation for the Generalized Swift Hohenberg Equation With Noise
(with K. Klepel, W. W. Mohammed)
ZAMP - Zeitschrift für angewandte Mathematik und Physik65(6)1107-1126, 2013.
Preprint, 2012. - Local Existence and Uniqueness for a Two-Dimensional Surface Growth Equation with Space-Time White Noise
(with Marco Romito)
Stochastic Analysis and Applications, 31(6):1049-1076, 2013
Preprint, 2013. - Amplitude equations for SPDEs with cubic nonlinearities.
(with W.W. Mohammed)
Stochastics. An International Journal of Probability and Stochastic Processes85(2):181-215, 2013
Preprint, 2010. - Full discretization of stochastic Burgers equation with correlated noise
(with M. Kamrani, S.M. Hosseini)
IMA Journal of Numerical Analysis33 (3): 825-848, (2013)
Preprint , 2012. - Galerkin approximations for the stochastic Burgers equation.
(with A. Jentzen)
SIAM J. Numer. Anal., 51(1), 694-715, (2013)
Preprint, 2009. - Modulation Equation for Stochastic Swift-Hohenberg Equation,
(with W.W. Mohammed, K. Klepel)
SIAM J. Math. Anal., 45(1), 14-30, (2013)
Preprint, 2011. - Numerical Study of Amplitude Equations for SPDEs with Degenerate Forcing
(with W.W. Mohammed, C. Nolde, F. W?hrl)
International Journal of Computer Mathematics 89(18):2499-2516, 2012
Preprint, 2011. - Front Motion in the One-Dimensional Stochastic Cahn-Hilliard Equation
(with D. Antonopoulou, G. Karali)
SIAM J. Math. Anal. , 44(5), 3242-3280, (2012)
Preprint , 2011. - Local existence and uniqueness in the largest critical space for a surface growth model,
(with M. Romito)
Nonlinear Di?erential Equations and Applications. NoDea 19(3):365-381, (2012)
Preprint , 2010. - Asymptotic compactness of stochastic complex Ginzburg-Landau equation on an unbounded domain.
(with Yongqian Han)
Stochastics and Dynamics,10(4):613–636, (2010).
Preprint, 2010. - Qualitative Properties of Local Random Invariant Manifolds for SPDEs with Quadratic Nonlinearity.
(with Wei Wang)
Journal of Dynamics and Differential Equations 22(4):677–695, 2010.
Preprint, 2008. - Nucleation in the One-Dimensional Stochastic Cahn-Hilliard Model.
(with B. Gawron, T. Wanner).
Preprint ,2009. - Regularity and blow-up in a surface growth model.
(with M. Romito)
Preprint , 2009. - Amplitude equations for SPDE with quadratic nonlinearities.
(with W.W.E. Mohammed)
Preprint , 2009. - Markovianity and ergodicity for a surface growth PDE
(with F. Flandoli, M. Romito) - 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.
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