Peter Bella

Publications in Peer-Reviewed Journals
[21]     Effective multipoles in random media,
together with Arianna Giunti and Felix Otto, submitted.
[20]     A Liouville theorem for stationary and ergodic ensembles of parabolic systems,
together with Alberto Chiarini and Benjamin Fehrman, Probability Theory and Related Fields, online first.
[19]     Stochastic homogenization of linear elliptic equations: Higher-order error estimates in weak norms via second-order correctors,
together with Benjamin Fehrman, Julian Fischer, and Felix Otto, SIAM J. Math. Anal., 49(6), 4658-4703.
[18]     Green's function for elliptic systems: moment bound, together with Arianna Giunti,
Networks and Heterogeneous Media, 13(1), 155-176, 2018.
[17]      Wrinkling of a thin circular sheet bonded to a spherical substrate,
together with Robert V. Kohn, Phil. Trans. R. Soc. A 375 20160157, 2017.
[16]      A Liouville theorem for elliptic systems with degenerate ergodic coefficients,
together with Benjamin Fehrman and Felix Otto, Ann. Appl. Probab, available online, 2018.
[15]      A rigorous justification of the Euler and Navier-Stokes equations with geometric effects,
together with Eduard Feireisl, Marta Lewicka, and Antonín Novotný, SIAM J. Math. Anal., 48(6), 3907-3930, 2016.
[14]      Coarsening of Folds in Hanging Drapes,
together with Robert V. Kohn, Comm. Pure Appl. Math. 70, no. 5, 978-1021, 2017.
[13]      Corrector estimates for elliptic systems with random periodic coefficients,
together with Felix Otto, Multiscale Model. Simul. 14-4, 1434-1462 2016.
[12]      Robustness of strong solutions to the compressible Navier-Stokes system,
together with Eduard Feireisl, Bum Ja Jin, and Antonín Novotný, Math. Ann., 362: 281-303, 2015.
[11]      Transition between planar and wrinkled regions in uniaxially stretched thin elastic film,
Arch. Ration. Mech. Anal., 216, no. 2, 623-672, 2015.
[10]      Study of island formation in epitaxially strained films on unbounded domains,
together with Michael Goldmann and Barbara Zwicknagl, Arch. Ration. Mech. Anal., 218, no. 1, 163-217, 2015.
[9]      Nucleation barriers at corners for cubic-to-tetragonal phase transformation,
together with Michael Goldmann, Proc. R. Soc. A 145A, 715-724, 2015.
[8]      Metric-induced wrinkling of a thin elastic sheet,
together with Robert V. Kohn, J. Nonlinear Sci. 24, no. 6, 1147-1176, 2014.
[7]      Dimension reduction for compressible viscous fluids,
together with Eduard Feireisl and Antonín Novotný, Acta Appl. Math. 134, 111-121, 2014.
[6]      Wrinkles as the result of compressive stresses in an annular thin film,
together with Robert V. Kohn, Comm. Pure Appl. Math. 67, no. 5, 693-747, 2014.
[5]      Long time behavior and stabilization to equilibria of solutions to the Navier-Stokes-Fourier system driven by highly oscillating unbounded external forces,
together with Eduard Feireisl and Dalibor Pražák, J. Dyn. Diff. Equat. 25:257-268, 2013.
[4]      Long Time Behavior of Weak Solutions to Navier-Stokes-Poisson System,
J. Math. Fluid Mech. 14, pp. 279-294, 2012.

Reports and Proceedings
[3]      Quantitative stochastic homogenization: local control of homogenization error through corrector,
together with Arianna Giunti and Felix Otto, Mathematics and Materials, Park City Mathematics Series, pp 299-327, 2017.
[2]      Transition between planar and wrinkled regions in unixaxually stretched thin elastic film,
Oberwolfach Report 33/2014.

[1]      Wrinkles as a relaxation of compressive stresses,
PhD Thesis, 2012.
          On models of gases in astrophysics,
Master Thesis, 2007.