Preprints and publications

  1. P. Bella, "Long Time Behavior of Weak Solutions to Navier-Stokes-Poisson System",
    Journal of Mathematical Fluid Mechanics 14 (2012), pp. 279-294.
  2. P. Bella, E. Feireisl, D. Prazak, "Long time behavior and stabilization to equilibria of solutions to the Navier-Stokes-Fourier system driven by highly oscillating unbounded external forces",
    J. Dynam. Differential Equations 25 (2013), no. 2, 257--268. pdf.
  3. P. Bella, R.V. Kohn, "Wrinkles as the result of compressive stresses in an annular thin film",
    Communications on Pure and Applied Mathematics 67 (2014), no. 5, 693--747, pdf.
  4. P. Bella, E. Feireisl, A. Novotny, "Dimension reduction for compressible viscous fluids",
    Acta Appl. Math. 134 (2014), 111-121 pdf.
  5. P. Bella, R.V. Kohn, "Metric-induced wrinkling of a thin elastic sheet",
    Journal of Nonlinear Science, 24 (2014), no. 6, 1147-1176. pdf.
  6. P. Bella, M. Goldman, "Nucleation barriers at corners for cubic-to-tetragonal phase transformation",
    Proceedings of the Royal Society of Edinburgh, 145A (2015), 715--724.
  7. P. Bella, M. Goldman, B. Zwicknagl, "Study of island formation in epitaxially strained films on unbounded domains",
    Archive for rational mechanics and analysis, 218 (2015), no. 1, 163--217.
  8. P. Bella, "Transition between planar and wrinkled regions in uniaxially stretched thin elastic film",
    Archive for rational mechanics and analysis 216 (2015), no. 2, 623-672, MIS preprint.
  9. P. Bella, E. Feireisl, B.J. Jin, A. Novotny, "Robustness of strong solutions to the compressible Navier-Stokes system",
    Mathematische Annalen June 2015, Volume 362, Issue 1-2, pp 281-303.
  10. P. Bella, F. Otto, "Corrector estimates for elliptic systems with random periodic coefficients",
    SIAM Multiscale Modeling and Simulation, 14(4), 1434--1462.
  11. P. Bella, A. Giunti, F. Otto, "Quantitative stochastic homogenization: local control of homogenization error through corrector",
    Arxiv preprint, to be published in Park City Mathematics Series.
  12. P. Bella, R.V. Kohn, "Coarsening of folds in drapes",
    to appear in Communications on Pure and Applied Mathematics, ArXiv.
  13. P. Bella, E. Feireisl, M. Lewicka, A. Novotny, "A rigorous justification of the Euler and Navier-Stokes equations with geometric effects",
    SIAM Journal on Mathematical Analysis (SIMA), 48(6), 3907--3930.
  14. P. Bella, B. Fehrman, F. Otto, "A Liouville theorem for elliptic systems with degenerate ergodic coefficients",
    to appear in Annals of Applied Probability, ArXiv.
  15. P. Bella, A. Giunti, "Green's function for elliptic systems: moment bounds",
    submitted, ArXiv.
  16. P. Bella, B. Fehrman, J. Fischer, F. Otto, "Stochastic homogenization of linear elliptic equations: Higher-order error estimates in weak norms via second-order correctors",
    submitted, ArXiv.
  17. P. Bella, R.V. Kohn, "Wrinkling of a thin circular sheet bonded to a spherical substrate",
    submitted, ArXiv.