Dynamics in spatially confined Hamiltonian systems

  1. Beig, Robert, Piotr Bizoń, and Walter Simon. “Vacuum Initial Data on from Killing Vectors.” Classical and Quantum Gravity 36, no. 21 (October 2019): 215017. https://doi.org/10.1088/1361-6382/ab4210.
  2. Biasi, Anxo. “Self-Similar Solutions to the Compressible Euler Equations and Their Instabilities.” Communications in Nonlinear Science and Numerical Simulation 103 (December 1, 2021): 106014. https://doi.org/10.1016/j.cnsns.2021.106014.
  3. Biasi, Anxo, Piotr Bizoń, Ben Craps, and Oleg Evnin. “Two Infinite Families of Resonant Solutions for the Gross-Pitaevskii Equation.” Physical Review E 98, no. 3 (September 26, 2018): 032222. https://doi.org/10.1103/PhysRevE.98.032222.
  4. Biasi, Anxo, Piotr Bizoń, and Oleg Evnin. “Complex Plane Representations and Stationary States in Cubic and Quintic Resonant Systems.” Journal of Physics A: Mathematical and Theoretical 52, no. 43 (September 2019): 435201. https://doi.org/10.1088/1751-8121/ab4406.
  5. Biasi, Anxo, Piotr Bizoń, and Oleg Evnin. “Solvable Cubic Resonant Systems.” Communications in Mathematical Physics 369, no. 2 (July 1, 2019): 433–56. https://doi.org/10.1007/s00220-019-03365-z.
  6. Biasi, Anxo, and Oleg Evnin. “Turbulent Cascades in a Truncation of the Cubic Szegő Equation and Related Systems.” Analysis & PDE 15, no. 1 (March 16, 2022): 217–43. https://doi.org/10.2140/apde.2022.15.217.
  7. Biasi, Anxo, Oleg Evnin, and Boris A. Malomed. “Fermi-Pasta-Ulam Phenomena and Persistent Breathers in the Harmonic Trap.” Physical Review E 104, no. 3 (September 13, 2021): 034210. https://doi.org/10.1103/PhysRevE.104.034210.
  8. Bizoń, P., T. Chmaj, and P. Mach. “A Toy Model of Hyperboloidal Approach to Quasinormal Modes.” Acta Physica Polonica B 51, no. 4 (2020): 1007. https://doi.org/10.5506/APhysPolB.51.1007.
  9. Bizoń, Piotr, Maciej Dunajski, Michał Kahl, and Michał Kowalczyk. “Sine-Gordon on a Wormhole.” Nonlinearity 34, no. 8 (July 2021): 5520. https://doi.org/10.1088/1361-6544/ac08eb.
  10. Bizoń, Piotr, Oleg Evnin, and Filip Ficek. “A Nonrelativistic Limit for AdS Perturbations.” Journal of High Energy Physics 2018, no. 12 (December 18, 2018): 113. https://doi.org/10.1007/JHEP12(2018)113.
  11. Bizon, Piotr, Filip Ficek, Dmitry E. Pelinovsky, and Szymon Sobieszek. “Ground State in the Energy Super-Critical Gross–Pitaevskii Equation with a Harmonic Potential.” Nonlinear Analysis 210 (September 1, 2021): 112358. https://doi.org/10.1016/j.na.2021.112358.
  12. Bizoń, Piotr, Dominika Hunik-Kostyra, and Maciej Maliborski. “AdS Robin Solitons and Their Stability.” Classical and Quantum Gravity 37, no. 10 (April 2020): 105010. https://doi.org/10.1088/1361-6382/ab7ee4.
  13. Bizoń, Piotr, Dominika Hunik-Kostyra, and Dmitry Pelinovsky. “Stationary States of the Cubic Conformal Flow on $ \mathbb{S}^3 $.” Discrete and Continuous Dynamical Systems 40, no. 1 (December 31, 2019): 1–32. https://doi.org/10.3934/dcds.2020001.
  14. Bizoń, Piotr, and Maciej Maliborski. “Dynamics at the Threshold for Blowup for Supercritical Wave Equations Outside a Ball*.” Nonlinearity 33, no. 7 (May 2020): 3195. https://doi.org/10.1088/1361-6544/ab8352.
  15. Cieślik, Adam, and Patryk Mach. “Accretion of the Vlasov Gas on Reissner-Nordstr\”om Black Holes.” Physical Review D 102, no. 2 (July 9, 2020): 024032. https://doi.org/10.1103/PhysRevD.102.024032.
  16. Dyba, Wojciech, Wojciech Kulczycki, and Patryk Mach. “Self-Gravitating Perfect-Fluid Tori around Black Holes: Bifurcations, Ergoregions, and Geometrical Properties.” Physical Review D 101, no. 4 (February 18, 2020): 044036. https://doi.org/10.1103/PhysRevD.101.044036.
  17. Dyba, Wojciech, Patryk Mach, and Mikołaj Pietrzyński. “Toroidal Magnetic Fields in Self-Gravitating Disks around Black Holes.” Physical Review D 104, no. 4 (August 23, 2021): 044058. https://doi.org/10.1103/PhysRevD.104.044058.
  18. Evnin, Oleg. “Breathing Modes, Quartic Nonlinearities and Effective Resonant Systems.” SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 16 (April 23, 2020): 034. https://doi.org/10.3842/SIGMA.2020.034.
  19. Evnin, Oleg. “Resonant Hamiltonian Systems and Weakly Nonlinear Dynamics in AdS Spacetimes.” Classical and Quantum Gravity 38, no. 20 (September 2021): 203001. https://doi.org/10.1088/1361-6382/ac1b46.