Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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. 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
  2. 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
  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. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  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. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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
  38. 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
  39. 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
  40. 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
  41. 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
  42. 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

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy