Dynamics in spatially confined Hamiltonian systems

Publications

  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. Biasi, Anxo, Oleg Evnin, and Spyros Sypsas. “De Sitter Bubbles from Anti-de Sitter Fluctuations.” arXiv, October 4, 2022. https://doi.org/10.48550/arXiv.2209.06835.
  9. Bizoń, Piotr, Tadeusz Chmaj, and Patryk 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.
  10. Bizoń, Piotr, Bradley Cownden, and Maciej Maliborski. “Characteristic Approach to the Soliton Resolution.” Nonlinearity 35, no. 8 (July 2022): 4585. https://doi.org/10.1088/1361-6544/ac7b04.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. Bizoń, Piotr, Dominika Hunik-Kostyra, and Dmitry Pelinovsky. “Stationary States of the Cubic Conformal Flow on S3.” Discrete and Continuous Dynamical Systems 40, no. 1 (December 31, 2019): 1–32. https://doi.org/10.3934/dcds.2020001.
  16. Bizoń, Piotr, and Maciej Maliborski. “Comment on a Regular Black Hole with Yang-Mills Hair.” arXiv, October 31, 2022. https://doi.org/10.48550/arXiv.2210.17462.
  17. 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.
  18. Cieślik, Adam and Patryk Mach. “Revisiting Timelike and Null Geodesics in the Schwarzschild Spacetime: General Expressions in Terms of Weierstrass Elliptic Functions.” Classical and Quantum Gravity 39, no. 22 (October 2022): 225003. https://doi.org/10.1088/1361-6382/ac95f2.
  19. 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.
  20. Cieślik, Adam, Patryk Mach, and Andrzej Odrzywolek. “Accretion of the Relativistic Vlasov Gas in the Equatorial Plane of the Kerr Black Hole.” arXiv, August 8, 2022. https://doi.org/10.48550/arXiv.2208.04218.
  21. 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.
  22. Dyba, Wojciech, Patryk Mach, and Edward Malec. “Modelling General-Relativistic Disc in OJ 287.” Monthly Notices of the Royal Astronomical Society 486, no. 3 (July 1, 2019): 3118–23. https://doi.org/10.1093/mnras/stz1058.
  23. 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.
  24. 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.
  25. 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.
  26. Ficek, Filip. “Schrödinger-Newton-Hooke System in Higher Dimensions: Stationary States.” Physical Review D 103, no. 10 (May 28, 2021): 104062. https://doi.org/10.1103/PhysRevD.103.104062.
  27. Hunik-Kostyra, Dominika, and Andrzej Rostworowski. “AdS Instability: Resonant System for Gravitational Perturbations of AdS5 in the Cohomogeneity-Two Biaxial Bianchi IX Ansatz.” Journal of High Energy Physics 2020, no. 6 (June 1, 2020): 2. https://doi.org/10.1007/JHEP06(2020)002.
  28. Jansen, Aron, Andrzej Rostworowski, and Mieszko Rutkowski. “Master Equations and Stability of Einstein-Maxwell-Scalar Black Holes.” Journal of High Energy Physics 2019, no. 12 (December 4, 2019): 36. https://doi.org/10.1007/JHEP12(2019)036.
  29. Mach, Patryk, Sergio Gimeno-Soler, José A. Font, Andrzej Odrzywołek, and Michał Piróg. “Self-Gravitating Magnetized Tori around Black Holes in General Relativity.” Physical Review D 99, no. 10 (May 29, 2019): 104063. https://doi.org/10.1103/PhysRevD.99.104063.
  30. Mach, Patryk, and Edward Malec. “Steady Critical Accretion onto Black Holes: Self-Gravity and Sonic Point Characteristics.” Physical Review D 105, no. 10 (May 9, 2022): 104012. https://doi.org/10.1103/PhysRevD.105.104012.
  31. Mach, Patryk, and Andrzej Odrzywołek. “Accretion of the Relativistic Vlasov Gas onto a Moving Schwarzschild Black Hole: Low-Temperature Limit and Numerical Aspects.” Acta Physica Polonica B Proceedings Supplement 15, no. 1 (2022): 1. https://doi.org/10.5506/APhysPolBSupp.15.1-A7.
  32. Mach, Patryk, and Andrzej Odrzywołek. “Accretion of Dark Matter onto a Moving Schwarzschild Black Hole: An Exact Solution.” Physical Review Letters 126, no. 10 (March 12, 2021): 101104. https://doi.org/10.1103/PhysRevLett.126.101104.
  33. Mach, Patryk, and Andrzej Odrzywołek. “Accretion of the Relativistic Vlasov Gas onto a Moving Schwarzschild Black Hole: Exact Solutions.” Physical Review D 103, no. 2 (January 21, 2021): 024044. https://doi.org/10.1103/PhysRevD.103.024044.
  34. Mach, Patryk, Yaohua Wang, and Naqing Xie. “Construction of Vacuum Initial Data by the Conformally Covariant Split System.” Classical and Quantum Gravity 36, no. 14 (June 2019): 145001. https://doi.org/10.1088/1361-6382/ab2781.
  35. Rostworowski, Andrzej. “Cosmological Perturbations in the Regge-Wheeler Formalism.” Physical Review D 101, no. 8 (April 8, 2020): 083512. https://doi.org/10.1103/PhysRevD.101.083512.
  36. Rutkowski, Mieszko. “Nonlinear Perturbations of Reissner-Nordström Black Holes.” Physical Review D 100, no. 4 (August 9, 2019): 044017. https://doi.org/10.1103/PhysRevD.100.044017.
  37. Rutkowski, Mieszko, and Andrzej Rostworowski. “Ultracompact Rotating Gravastars and the Problem of Matching with Kerr Spacetime.” Physical Review D 104, no. 8 (October 12, 2021): 084041. https://doi.org/10.1103/PhysRevD.104.084041.
  38. Szybka, Sebastian J., and Mieszko Rutkowski. “Einstein Clusters as Models of Inhomogeneous Spacetimes.” The European Physical Journal C 80, no. 5 (May 11, 2020): 397. https://doi.org/10.1140/epjc/s10052-020-7948-0.