Article in refereed journals

  1. The impact of multiplicative noise in SPDEs close to bifurcation via amplitude equations  (with Hongbo Fu),
    Nonlinearity 33 3905, 2020
    ArXive, 2019
  2. Stochastic Cahn-Hilliard equation in higher space dimensions: The motion of bubbles (with A. Schindler),
    Z. Angew. Math. Phys. 71, 49 (2020).
    ArXive, 2019
  3. 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.
  4. 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.
  5. Well Posedness and Convergence Analysis of the Ensemble Kalman Inversion
    (with C. Schillings, P. Wacker, S. Weissmann4)

    Inverse Problems: 35:085007, (2019)
    ArXive, 2018.
  6. Modulation equation and SPDEs on unbounded domains (with L. A. Bianchi und G. Schneider) ;
    Comm Math. Phys. 371;19–54, (2019).
    ArXive, 2017.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. Additive noise destroys the random attractor close to bifurcation.
    (with Luigi A. Bianchi, Meihua Yang)

    Nonlinearity 29(12):3934, (2016).
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. 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.
  27. Galerkin approximations for the stochastic Burgers equation.
    (with A. Jentzen)

    SIAM J. Numer. Anal., 51(1), 694-715, (2013)
    Preprint, 2009.
  28. Modulation Equation for Stochastic Swift-Hohenberg Equation,
    (with W.W. Mohammed, K. Klepel)

    SIAM J. Math. Anal., 45(1), 14-30, (2013)
    Preprint, 2011.
  29. 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.
  30. 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.
  31. 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.
  32. 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.
  33. 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.
  34. Nucleation in the One-Dimensional Stochastic Cahn-Hilliard Model.
    (with B. Gawron, T. Wanner).

    Preprint ,2009.
  35. Regularity and blow-up in a surface growth model.
    (with M. Romito)

    Preprint , 2009.
  36. Amplitude equations for SPDE with quadratic nonlinearities.
    (with W.W.E. Mohammed)

    Preprint , 2009.
  37. Markovianity and ergodicity for a surface growth PDE
    (with F. Flandoli, M. Romito)
  38. 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.
  39. Multiscale analysis for SPDEs with quadratic nonlinearities.
    (with M. Hairer, G.A. Pavliotis),
    Nonlinearity, 20:1721-1744, 2007
  40. 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.
  41. Approximation of the stochastic Rayleigh-Benard problem
    near the onset of convection and related problems.
    Stochastics and Dynamics, 23(2):255-274, 2005.
  42. Modulation equation for SPDEs on large domains.
    (with M. Hairer, G. Pavliotis),
    Communications in Mathematical Physics, 258:479-512, 2005.
  43. Non-homogeneous noise and Q-Wiener processes on bounded domains.
    Stochastic Analysis and Applications, 23(2):255-273, 2005.
  44. 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.
  45. Multiscale expansion of invariant measures.
    (with M. Hairer),
    Communications in Mathematical Physics, 251(3):515-555, 2004.
  46. Stationary solutions for a model of amorphous thin-film growth.
    (with M. Hairer),
    Stochastic Analysis and Applications, 22(4):903-922, 2004.
  47. Amplitude equations for locally cubic non-autonomous nonlinearities.
    SIAM Journal on Applied Dynamical Systems, 2(2):464-486, 2003.
  48. Pattern formation below criticality forced by noise.
    (with S. Maier-Paape),
    Zeitschrift für angewandte Mathematik und Physik, 54(1):1-25, 2003.
  49. Stochastic Navier-Stokes equation and renormalization group theory.
    (with C. Gugg, S. Maier-Paape),
    Physica D: Nonlinear Phenomena, 173(3-4):137-152, 2002.
  50. Thin-film-growth-models: Roughness and correlation functions.
    (with C. Gugg, M. Raible),
    European Journal of Applied Math. 13:385-402, 2002.
  51. Enstrophy dynamics of stochastically forced large-scale geophysical flows
    (with J. Duan, T. Wanner),
    Journal of Mathematical Physics, 43(5):2616-2626, 2002.
  52. 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.
  53. 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.
  54. Spinodal decomposition for the Cahn-Hilliard-Cook equation.
    (with S. Maier-Paape, T. Wanner),
    Communications in Mathematical Physics, 223(3):553-582, 2001.
  55. Roughness in surface growth equations.
    (with S. Maier-Paape, T. Wanner),
    Interfaces and Free Boundaries, 3(4):465-484, 2001.
  56. Surface roughness in molecular beam epitaxy.
    (with S. Maier-Paape, T. Wanner),
    Stochastics and Dynamics, 1(2):239-260, 2001.