Publications

Preprints

F. Butori, C. Campolina and F. Flandoli
Ergodicity for a class of stochastic Hasegawa-Mima equations with dissipation
(Accepted for publication on Czechoslov. Math. J.)
arXiv:2606.00325

E. O. P. Bernal, C. S. Campolina and A. A. Mailybaev
Spontaneous stochasticity in the fluctuating Navier–Stokes equations on a logarithmic-lattice
Philos. Trans. R. Soc. A, 384:20250031 (2026)
doi:10.1098/rsta.2025.0031
arXiv:2507.03196
C. Campolina, E. Simonnet and S. Thalabard
Non-unique self-similar blowups in shell models: insights from dynamical systems and machine-learning
J. Phys. A: Math. Theor., 58, 175701 (2025)
doi:10.1088/1751-8121/adc773
arXiv:2501.07377
C. S. Campolina and A. A. Mailybaev
Logarithmic lattice models for flows with boundaries
Phys. D: Nonlinear Phenom., 472, 134473 (2025)
doi:10.1016/j.physd.2024.134473
arXiv:2405.04112
Q. Pikeroen, A. Barral, G. Costa, C. Campolina, A. Mailybaev and B. Dubrulle
Tracking complex singularities of fluids on log-lattices
Nonlinearity, 37, 115003 (2024)
doi:10.1088/1361-6544/ad7661
arXiv:2312.01702
C. S. Campolina and A. A. Mailybaev
Fluid dynamics on logarithmic lattices
Nonlinearity, 34, 4684-4715 (2021)
doi:10.1088/1361-6544/abef73
arXiv: 2005.14027
C. S. Campolina and A. A. Mailybaev
Chaotic blowup in the 3D incompressible Euler equations on a logarithmic lattice
Phys. Rev. Lett., 121, 064501 (2018)
doi:10.1103/PhysRevLett.121.064501
arXiv: 1804.10954

Fluid flows and boundaries on logarithmic lattices
PhD Thesis, Instituto de Matemática Pura e Aplicada (IMPA), 2022
link for PDF at IMPA theses
Fluid dynamics on logarithmic lattices and singularities of Euler flow
Masters Dissertation, Instituto de Matemática Pura e Aplicada (IMPA), 2019
link for PDF at IMPA dissertations
Turbulence models for low Reynolds aerodynamics of airfoils: a comparative analysis (in Portuguese)
Undergraduate Dissertation, Universidade Federal de Juiz de Fora (UFJF), 2016

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