Article in refereed journals

  1. Random initial conditions for semi-linear PDEs
    (with G. Cannizzaro, M. Romito)
    to appear in Proceedings A of the Royal Society of Edinburgh
    ArXive, 2017.

  2. 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.
  3. The Sharp interface limit for the stochastic Cahn-Hilliard equation.
    (with D.C. Antonopoulou, G.D. Karali)
    Annales de l’Institut Henri Poincare 54(1):280-298, (2018)
    Preprint, 2015.

  4. 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.
  5. 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.
  6. 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.
  7. 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.

  8. Additive noise destroys the random attractor close to bifurcation.
    (with Luigi A. Bianchi, Meihua Yang)
    Nonlinearity 29(12):3934, (2016).
    ArXive, 2016.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.

  14. 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.
  15. 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.

  16. Multi-Scale Analysis of SPDEs with Degenerate Additive Noise
    (with K. Klepel, W. W. Mohammed)
    Journal of Evolution Equations 14(2), 273-298, 2014.
    Preprint , 2013.

  17. 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.
  18. Amplitude Equation for the Generalized Swift Hohenberg Equation With Noise
    (with K. Klepel, W. W. Mohammed)
    ZAMP - Zeitschrift für angewandte Mathematik und Physik 65(6)1107-1126, 2013.
    Preprint , 2012.
  19. 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.
  20. Amplitude equations for SPDEs with cubic nonlinearities.
    (with W.W. Mohammed)
    Stochastics. An International Journal of Probability and Stochastic Processes 85(2):181-215, 2013
    Preprint , 2010.
  21. Full discretization of stochastic Burgers equation with correlated noise
    (with M. Kamrani, S.M. Hosseini)
    IMA Journal of Numerical Analysis 33 (3): 825-848, (2013)
    Preprint , 2012.
  22. Galerkin approximations for the stochastic Burgers equation.
    (with A. Jentzen)
    SIAM J. Numer. Anal. , 51(1), 694-715, (2013)
    Preprint , 2009.
  23. Modulation Equation for Stochastic Swift-Hohenberg Equation,
    (with W.W. Mohammed, K. Klepel)
    SIAM J. Math. Anal., 45(1), 14-30, (2013)
    Preprint , 2011.

  24. Numerical Study of Amplitude Equations for SPDEs with Degenerate Forcing
    (with W.W. Mohammed, C. Nolde, F. Wöhrl)
    International Journal of Computer Mathematics 89(18):2499-2516, 2012
    Preprint , 2011.
  25. 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.
  26. Local existence and uniqueness in the largest critical space for a surface growth model,
    (with M. Romito)
    Nonlinear Differential Equations and Applications. NoDea 19(3):365-381, (2012)
    Preprint , 2010.

  27. 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.
  28. 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.
  29. 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.

  30. Regularity and blow-up in a surface growth model.
    (with M. Romito)
    Dyn. Partial Differ. Equ. 6 (2009), no. 3, 227-252.
    Preprint , 2009.
  31. Amplitude equations for SPDE with quadratic nonlinearities.
    (with W.W.E. Mohammed)
    Electron. J. Probab. 14 (2009), no. 88, 2527-2550.
    Preprint , 2009.
  32. Markovianity and ergodicity for a surface growth PDE
    (with F. Flandoli, M. Romito)
    Ann. Probab. 37 (2009), no. 1, 275-313.

  33. 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.

  34. Multiscale analysis for SPDEs with quadratic nonlinearities.
    (with M. Hairer, G.A. Pavliotis),
    Nonlinearity, 20:1721-1744, 2007
  35. 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.

  36. Approximation of the stochastic Rayleigh-Benard problem
    near the onset of convection and related problems.
    Stochastics and Dynamics, 23(2):255-274, 2005.
  37. Modulation equation for SPDEs on large domains.
    (with M. Hairer, G. Pavliotis),
    Communications in Mathematical Physics, 258:479-512, 2005.
  38. Non-homogeneous noise and Q-Wiener processes on bounded domains.
    Stochastic Analysis and Applications, 23(2):255-273, 2005.
  39. 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.
  40. Multiscale expansion of invariant measures.
    (with M. Hairer),
    Communications in Mathematical Physics, 251(3):515-555, 2004.
  41. Stationary solutions for a model of amorphous thin-film growth.
    (with M. Hairer),
    Stochastic Analysis and Applications, 22(4):903-922, 2004.
  42. Amplitude equations for locally cubic non-autonomous nonlinearities.
    SIAM Journal on Applied Dynamical Systems, 2(2):464-486, 2003.
  43. Pattern formation below criticality forced by noise.
    (with S. Maier-Paape),
    Zeitschrift für angewandte Mathematik und Physik, 54(1):1-25, 2003.
  44. Stochastic Navier-Stokes equation and renormalization group theory.
    (with C. Gugg, S. Maier-Paape),
    Physica D: Nonlinear Phenomena, 173(3-4):137-152, 2002.
  45. Thin-film-growth-models: Roughness and correlation functions.
    (with C. Gugg, M. Raible),
    European Journal of Applied Math. 13:385-402, 2002.
  46. Enstrophy dynamics of stochastically forced large-scale geophysical flows
    (with J. Duan, T. Wanner),
    Journal of Mathematical Physics, 43(5):2616-2626, 2002.
  47. 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.
  48. 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.
  49. Spinodal decomposition for the Cahn-Hilliard-Cook equation.
    (with S. Maier-Paape, T. Wanner),
    Communications in Mathematical Physics, 223(3):553-582, 2001.
  50. Roughness in surface growth equations.
    (with S. Maier-Paape, T. Wanner),
    Interfaces and Free Boundaries, 3(4):465-484, 2001.
  51. Surface roughness in molecular beam epitaxy.
    (with S. Maier-Paape, T. Wanner),
    Stochastics and Dynamics, 1(2):239-260, 2001.