Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Dynamics in spatially confined Hamiltonian systems

2017/26/A/ST2/00530

Keywords:

nonlinear wave equations anti-de Sitter space infinitely dimensional dynamical systems

Descriptors:

  • ST2_11: Lasers, ultrashort pulses and laser physics
  • ST2_14: Non-linear phenomena
  • ST1_12: Mathematical methods of physics

Panel:

ST2 - Fundamental constituents of matter: particle, nuclear, plasma, atomic, molecular, gas and optical physics

Host institution :

Uniwersytet Jagielloński, Wydział Fizyki, Astronomii i Informatyki Stosowanej

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Piotr Bizoń 

Number of co-investigators in the project: 13

Call: MAESTRO 9 - announced on 2017-06-14

Amount awarded: 3 289 900 PLN

Project start date (Y-m-d): 2018-04-09

Project end date (Y-m-d): 2025-04-08

Project duration:: 60 months (the same as in the proposal)

Project status: Pending project

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (42)
  1. Revisiting timelike and null geodesics in the Schwarzschild spacetime: general expressions in terms of Weierstrass elliptic functions
    Authors:
    A. Cieślik, P. Mach
    Academic press:
    Classical and Quantum Gravity (rok: 2022, tom: 39, strony: 225003 pp. 1-31), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6382/ac95f2 - link to the publication
  2. A toy model of hyperboloidal approach to quasinormal modes
    Authors:
    P. Bizon, T. Chmaj, P. Mach
    Academic press:
    Acta Physica Polonica B (rok: 2020, tom: 51, strony: 1007-1014), Wydawca: Jagiellonian University
    Status:
    Published
    DOI:
    10.5506/APhysPolB.51.1007 - link to the publication
  3. Accretion of the Vlasov gas on Reissner-Nordstrom black holes
    Authors:
    A. Cieslik, P. Mach
    Academic press:
    Physical Review D (rok: 2020, tom: 102, strony: 24032), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.102.024032 - link to the publication
  4. Accretion of the relativistic Vlasov gas in the equatorial plane of the Kerr black hole
    Authors:
    A. Cieślik, P. Mach, A. Odrzywołek
    Academic press:
    Physical Review D (rok: 2022, tom: 106, strony: 104056 pp. 1-25), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.106.104056 - link to the publication
  5. Accretion of the relativistic Vlasov gas onto a moving Schwarzschild black hole: Exact solutions
    Authors:
    P. Mach, A. Odrzywolek
    Academic press:
    Physical Review D (rok: 2021, tom: 103, strony: 024044, 1-21), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.103.024044 - link to the publication
  6. Cosmological perturbations in the Regge-Wheeler formalism
    Authors:
    A. Rostworowski
    Academic press:
    Physical Review D (rok: 2020, tom: 101, strony: 83512), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.101.083512 - link to the publication
  7. Master equations and stability of Einstein-Maxwell-scalar black holes
    Authors:
    A. Jansen, A. Rostworowski, M. Rutkowski
    Academic press:
    Journal of High Energy Physics (rok: 2019, tom: 2019, strony: 36), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/JHEP12(2019)036 - link to the publication
  8. Schrödinger-Newton-Hooke system in higher dimensions: Stationary states
    Authors:
    F. Ficek
    Academic press:
    Physical Review D (rok: 2021, tom: 103, strony: 104062, 1-13), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.103.104062 - link to the publication
  9. Self-similar solutions to the compressible Euler equations and their instabilities
    Authors:
    A. Biasi
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2021, tom: 103, strony: 106014, 1-28), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2021.106014 - link to the publication
  10. Turbulent cascades in a truncation of the cubic Szego equation and related systems
    Authors:
    A. Biasi, O. Evnin
    Academic press:
    Analysis & PDE (rok: 2022, tom: 15, strony: pp. 217-243), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2022.15.217 - link to the publication
  11. Ultracompact rotating gravastars and the problem of matching with Kerr spacetime
    Authors:
    M. Rutkowski, A. Rostworowski
    Academic press:
    Physical Review D (rok: 2021, tom: 104, strony: 084041, 1-10), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.104.084041 - link to the publication
  12. Accretion of Dark Matter onto a Moving Schwarzschild Black Hole: An Exact Solution
    Authors:
    P. Mach, A. Odrzywolek
    Academic press:
    Physical Review Letters (rok: 2021, tom: 126, strony: 101104, 1-6), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevLett.126.101104 - link to the publication
  13. Complex plane representations and stationary states in cubic and quintic resonant systems
    Authors:
    A. Biasi, P. Bizon, O. Evnin
    Academic press:
    Journal of Physics A (rok: 2019, tom: 52, strony: 435201), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1751-8121/ab4406 - link to the publication
  14. De Sitter bubbles from anti-de Sitter fluctuations
    Authors:
    A. Biasi, O. Evnin, S. Sypsas
    Academic press:
    Physical Review Letters (rok: 2022, tom: 129, strony: 251104, pp. 1-6), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevLett.129.251104 - link to the publication
  15. Ground state in the energy super-critical Gross–Pitaevskii equation with a harmonic potential
    Authors:
    P. Bizon, F. Ficek, D. E. Pelinovsky, S. Sobieszek
    Academic press:
    Nonlinear Analysis (rok: 2021, tom: 210, strony: 112358, 1-36), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2021.112358 - link to the publication
  16. Monte Carlo methods for stationary solutions of general-relativistic Vlasov systems : collisionless accretion onto black holes
    Authors:
    P. Mach, A. Cieślik, A. Odrzywołek
    Academic press:
    Physical Review. D (rok: 2023, tom: 108, strony: 124057, pp. 1-21), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.108.124057 - link to the publication
  17. Nonlinear perturbations of Reissner-Nordstrom black holes
    Authors:
    M. Rutkowski
    Academic press:
    Physical Review D (rok: 2019, tom: 100, strony: 44017), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.100.044017 - link to the publication
  18. Obstruction to ergodicity in nonlinear Schrödinger equations with resonant potentials
    Authors:
    A. Biasi, O. Evnin, B. A. Malomed
    Academic press:
    Physical Review E (rok: 2023, tom: 108, strony: 034204 pp. 1-20), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevE.108.034204 - link to the publication
  19. Self-gravitating magnetized tori around black holes in general relativity
    Authors:
    P. Mach, S. Gimeno-Soler, Jose A. Font, A. Odrzywolek, M. Piróg
    Academic press:
    Physical Review D (rok: 2019, tom: 99, strony: 104063), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.99.104063 - link to the publication
  20. Timelike and null geodesics in the Schwarzschild space-time: analytical solutions
    Authors:
    A. Cieślik, P. Mach
    Academic press:
    Acta Physica Polonica. B, Proceedings Supplement (rok: 2023, tom: 16, strony: 6-A10 pp. 1-9), Wydawca: Instytut Fizyki Uniwersytetu Jagiellońskiego
    Status:
    Published
    DOI:
    10.5506/APhysPolBSupp.16.6-A10 - link to the publication
  21. Toroidal magnetic fields in self-gravitating disks around black holes
    Authors:
    W. Dyba, P. Mach, M. Pietrzyński
    Academic press:
    Physical Review D (rok: 2021, tom: 104, strony: 044058, 1-17), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.104.044058 - link to the publication
  22. Two infinite families of resonant solutions for the Gross-Pitaevskii equation
    Authors:
    A. Biasi, P. Bizon, B. Craps, O. Evnin
    Academic press:
    Physical Review E (rok: 2018, tom: 98, strony: 32222), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.98.032222 - link to the publication
  23. A nonrelativistic limit for AdS perturbations
    Authors:
    P. Bizon, O. Evnin, F. Ficek
    Academic press:
    JHEP (rok: 2018, tom: 12, strony: 113), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/JHEP12(2018)113 - link to the publication
  24. Breathing modes, quartic nonlinearities and effective resonant systems
    Authors:
    O. Evnin
    Academic press:
    SIGMA (rok: 2020, tom: 16, strony: 34), Wydawca: Free Journal Network
    Status:
    Published
    DOI:
    brak - link to the publication
  25. Characteristic approach to the soliton resolution
    Authors:
    P. Bizon, B. Cownden, M. Maliborski
    Academic press:
    Nonlinearity (rok: 2022, tom: 35, strony: 4585-4598), Wydawca: Ltd & London Mathematical Society
    Status:
    Published
    DOI:
    10.1088/1361-6544/ac7b04 - link to the publication
  26. Fermi-Pasta-Ulam phenomena and persistent breathers in the harmonic trap
    Authors:
    A. Biasi, O. Evnin, B. A. Malomed
    Academic press:
    Physical Review E (rok: 2021, tom: 104, strony: 034210, 1-14), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevE.104.034210 - link to the publication
  27. AdS Robin solitons and their stability
    Authors:
    P. Bizon, D. Hunik-Kostyra, M. Maliborski
    Academic press:
    Classical Quantum Gravity (rok: 2020, tom: 37, strony: 105010), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/ab7ee4 - link to the publication
  28. Breathing Modes, Quartic Nonlinearities and Effective Resonant Systems
    Authors:
    O. Evnin
    Academic press:
    SIGMA (rok: 2020, tom: 16, strony: 34), Wydawca: Free Journal Network
    Status:
    Published
    DOI:
    10.3842/SIGMA.2020.034 - link to the publication
  29. Construction of vacuum initial data by the conformally covariant split system
    Authors:
    P. Mach, Y. Wang, N. Xie
    Academic press:
    Classical and Quantum Gravity (rok: 2019, tom: 36, strony: 145001), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6382/ab2781 - link to the publication
  30. Einstein clusters as models of inhomogeneous spacetimes
    Authors:
    S.J. Szybka, M. Rutkowski
    Academic press:
    European Physical Journal C (rok: 2020, tom: 80, strony: 397), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1140/epjc/s10052-020-7948-0 - link to the publication
  31. Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes
    Authors:
    O. Evnin
    Academic press:
    Classical and Quantum Gravity (rok: 2021, tom: 38, strony: 203001, 1-41), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6382/ac1b46 - link to the publication
  32. Self-gravitating perfect-fluid tori around black holes: Bifurcations, ergoregions, and geometrical properties
    Authors:
    W. Dyba, W. Kulczycki, P. Mach
    Academic press:
    Physical Review D (rok: 2020, tom: 101, strony: 44036), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.101.044036 - link to the publication
  33. Solvable cubic resonant systems
    Authors:
    A. Biasi, P. Bizon, O. Evnin
    Academic press:
    Communications in Mathematical Physics (rok: 2019, tom: 369, strony: 433–456), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-019-03365-z - link to the publication
  34. Vacuum initial data on S3 from Killing vectors
    Authors:
    R. Beig, P. Bizon, W. Simon
    Academic press:
    Classical and Quantum Gravity (rok: 2019, tom: 36, strony: 215017), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6382/ab4210 - link to the publication
  35. Turbulent cascades in a truncation of the cubic Szego equation and related systems
    Authors:
    A. Biasi, O. Evnin
    Academic press:
    Analysis and PDEs , Wydawca: MSP
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  36. Accretion of the Relativistic Vlasov Gas onto a Moving Schwarzschild Black Hole: Low-temperature Limit and Numerical Aspects
    Authors:
    P. Mach, A. Odrzywołek
    Academic press:
    Acta Physica Polonica B Proceedings Supplement (rok: 2022, tom: 15, strony: 1-A7, pp. 1-8), Wydawca: Jagiellonian University, Kraków, Poland, in cooperation with the Polish Academy of Arts and Sciences.
    Status:
    Published
    DOI:
    10.5506/APhysPolBSupp.15.1-A7 - link to the publication
  37. AdS instability: resonant system for gravitational perturbations of AdS5 in the cohomogeneity-two biaxial Bianchi IX ansatz
    Authors:
    D. Hunik-Kostyra, A. Rostworowski
    Academic press:
    JHEP (rok: 2020, tom: 2020(6), strony: 0), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/JHEP06(2020)002 - link to the publication
  38. Dynamics at the threshold for blowup for supercritical wave equations outside a ball
    Authors:
    P. Bizon, M. Maliborski
    Academic press:
    Nonlinearity (rok: 2020, tom: 33, strony: 3195-3205), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6544/ab8352 - link to the publication
  39. Kerr geodesics in terms of Weierstrass elliptic functions
    Authors:
    A. Cieślik, E. Hackmann, P. Mach
    Academic press:
    Physical Review. D (rok: 2023, tom: 108, strony: 024056, pp. 1-32), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.108.024056 - link to the publication
  40. Sine-Gordon on a wormhole
    Authors:
    P. Bizon, M. Dunajski, M. Kahl, M. Kowalczyk
    Academic press:
    Nonlinearity (rok: 2021, tom: 34, strony: 5520-5537), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6544/ac08eb - link to the publication
  41. Stationary states of the cubic conformal flow on S3
    Authors:
    P. Bizoń, D. Hunik-Kostyra, D.E. Pelinovsky
    Academic press:
    Discrete Continuous Dynamical Systems (rok: 2020, tom: 40, strony: 11689), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/dcds.2020001 - link to the publication
  42. Steady critical accretion onto black holes: Self-gravity and sonic point characteristics
    Authors:
    P. Mach, E. Malec
    Academic press:
    Physical Review D (rok: 2022, tom: 105, strony: 104012 pp. 1-20), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.105.104012 - link to the publication

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