Publications

 

  1. (with Marco Carfagnini and David Herzog )
    A functional Law of the Iterated Logarithm for weakly hypoelliptic diffusions at time zero system pdf
  2. (with David Herzog and Nathan Glatt-Holtz)
    Sensitivity of steady states in a degenerately-damped stochastic Lorenz system pdf
  3. (with Alberto Saldaña and Tobias Weth)
    Symmetry properties of sign-changing solutions to nonlinear parabolic equations in unbounded domains pdf
  4. (with Jean Baptiste Casteras)
    Existence of traveling waves for a fourth order Schrodinger equation with mixed dispersion in the Helmholtz regime pdf
  5. (with Mouhamadou Sy)
    Invariant measures and global well posedness for SQG equation pdf
  6. (with Jean-Baptiste Casteras)
    Singular radial solutions for the Lin-Ni-Takagi equation pdf
  7. (with Denis Bonheure and Jean-Baptiste Casteras)
    Singular radial solutions for the Keller-Segel equation in high dimension pdf
  8. (with Tuoc Phan)
    On higher integrability estimates for elliptic equations with singular coefficients pdf
  9. (with Denis Bonheure and Francesca Colasuonno)
    On the Born-Infeld equation for electrostatic fields with a superposition of point charges pdf
  10. (with Nathan Glatt-Holtz, Geordie Richards, Jared P. Whitehead)
    Hydrodynamic stability in presence of a stochastic forcing: a case study in convection pdf
  11. (with Denis Bonheure, Ederson Moreira dos Santos, Hugo Tavares, Alberto Saldaña)
    Paths to Uniqueness of Critical Points and Application to Partial Differential Equations, accepted to TAMS pdf
  12. (with Susan Friedlander, Nathan Glatt-Holtz, Geordie Richards)
    Asymptotic Analysis for Randomly Forced MHD, accepted to SIMA pdf
  13. (with Nathan Glatt-Holtz, Geordie Richards, Jared P. Whitehead)
    Ergodicity in Randomly Forced Rayleigh-Bénard Convection, Nonlinearity 29 (2016), no 11, 3309-3345 pdf
  14. (with Denis Bonheure, Alberto Saldaña)
    Qualitative properties of solutions to mixed-diffusion bistable equations, Calc. Var. and Par. Diff. Eq. 55 (2016) no. 3 pdf
  15. (with Nathan Glatt-Holtz, Geordie Richards)
    Large Prandtl number asymptotics in randomly forced turbulent convection, preprint pdf
  16. (with Nathan Glatt-Holtz, Geordie Richards, Enrique Thomann)
    Ergodic and Mixing Properties of The Boussinesq Equations with a Degenerate Random Forcing, J. Functional Analysis, 269 (2015), no. 8, 2427-2504 pdf
  17. (with Peter Poláčik)
    Equilibria with a nontrial nodal set and the dynamics of parabolic equations on symmetric domains, J. of Differential Equations 258 (2015), pp. 1859-1888 pdf
  18. On Serrin's symmetry result in nonsmooth domains and its applications, Adv. Differential Equations 18 (2013), no. 5-6, 523-548, pdf
  19. (with Peter Poláčik)
    On asymptotically symmetric parabolic equations, Netw. Heterog. Media 7 (2012), no. 4, 673-689, pdf
  20. Counter-example for Liouville theorems for indefinite problems on half spaces, Acta Math. Univ. Comenian. (N.S.) 81 (2012), no. 1, 105-116 pdf
  21. (with Joseph Crivelli, Peter Kim, Joanna Wares)
    A mathematical model for cell cycle-specific cancer virotherapy, J. Biol. Dyn. 6 (2012), Suppl. 1, 104-120 pdf
  22. Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems, Czechoslovak Math. J. 61(136) (2011), no. 1, 169-198 pdf
  23. Symmetry of positive solutions of asymptotically symmetric parabolic problems on R^N, J. Dynam. Differential Equations 23 (2011), no. 1, 45-69 pdf
  24. (with Peter Poláčik)
    Convergence to a steady state for asymptotically autonomous semilinear heat equation on R^N, J. Differential Equations 251 (2011), no. 7, 1903-1922 pdf
  25. On symmetry properties of parabolic equations in bounded domains, J. Differential Equations 250 (2011), no. 12, 4236-4261 pdf
  26. (with Peter Poláčik)
    On cooperative parabolic systems: Harnack inequalities and asymptotic symmetry, Disc. Cont. Dynamical Systems 25 (2009), no. 1, 133-157 pdf