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Generalized Cattaneo equation as a tool of describing anomalous diffusion with finite propagation speed

2020/39/O/ST2/01563

Keywords

Descriptors

  • ST2_019: Podstawy fizyki i fizyka matematyczna
  • ST2_017: Układy złożone

Panel

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

Host institution

Instytut Fizyki Jądrowej im. Henryka Niewodniczańskiego PAN

Voivodeship: małopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr hab. Katarzyna Górska

Number of co-investigators in the project: 2

Call

PRELUDIUM BIS 2 – announced on 2020-09-15

Amount awarded
430 600 PLN
Project start date
2021-10-01
Project end date
2025-09-30
Project duration
48 months (the same as in the proposal)
Project status
Project completed

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 (11)

  1. General approach to stochastic resetting

    Authors:
    R.K. Singh, K. Górska, T. Sandev
    Academic press:
    Phys. Rev. E (year: 2022, volume: 105, pages: 64133), Publisher: APS
    Status:
    Published
    DOI:
    10.48550/arXiv.2203.04046 – link to the publication

  2. Volterra-Prabhakar function of distributed order and some applications

    Authors:
    K. Górska, T. Pietrzak, T. Sandev, Ž. Tomovski
    Academic press:
    Elsevier (year: 2023, volume: 433, pages: 115306), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2023.115306 – link to the publication

  3. Anomalous and ultraslow diffusion of a particle driven by power-law-correlated and distributed-order noises

    Authors:
    Z. Tomovski, K. Górska, T. Pietrzak, R. Metzler, T. Sandev
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (year: 2024, volume: 57, pages: 235004), Publisher: IOPScience
    Status:
    Published
    DOI:
    10.1088/1751-8121/ad4934 – link to the publication

  4. Operational solution for the generalized Fokker-Planck and generalized diffusion-wave equations

    Authors:
    K. Górska
    Academic press:
    Physical Review E (year: 2025, volume: 111, pages: 24103), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.111.024103 – link to the publication

  5. Non-Debye relaxations: The characteristic exponent in the excess wings model

    Authors:
    K. Górska, A. Horzela, T.K. Pogány
    Academic press:
    Commun. Nonlinear Sci. Numer. Simulat. (year: 2021, volume: 103, pages: 106006), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2021.106006 – link to the publication

  6. Non-Debye Relaxations: The Ups and Downs of the Stretched Exponential vs. Mittag–Leffler′s Matchings

    Authors:
    K. Górska, A. Horzela, K. A. Penson
    Academic press:
    Fractal Fract. (year: 2021, volume: 5, pages: 265), Publisher: MDPI
    Status:
    Published
    DOI:
    10.3390/fractalfract5040265 – link to the publication

  7. The Havriliak–Negami and Jurlewicz–Weron–Stanislavsky relaxation models revisited: memory functions based study

    Authors:
    K. Górska, A. Horzela, and K. A. Peenson
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (year: 2023, volume: 56, pages: 313001 (43pp)), Publisher: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8121/acdf9b – link to the publication

  8. Subordination and memory dependent kinetics in diffusion and relaxation phenomena

    Authors:
    K. Górska and A. Horzela
    Academic press:
    Fractional Calculus and Applied Analysis (year: 2023, volume: 26, pages: 480-512), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s13540-023-00141-8 – link to the publication

  9. Fractional Telegrapher's Equation under Resetting: Non-Equilibrium Stationary States and First-Passage Times

    Authors:
    K. Górska, F.J. Sevilla, G. Chacón-Acosta, T. Sandev
    Academic press:
    Entropy (year: 2024, volume: 26, pages: 665), Publisher: MDPI
    Status:
    Published
    DOI:
    10.3390/e26080665 – link to the publication

  10. The generalized telegraph equation with moving harmonic source: Solvability using the integral decomposition technique and wave aspects

    Authors:
    T. Pietrzak, A. Horzela, K. Górska
    Academic press:
    International Journal of Heat and Mass Transfer (year: 2024, volume: 225, pages: 125373), Publisher: ScienceDirect
    Status:
    Published
    DOI:
    10.1016/j.ijheatmasstransfer.2024.125373 – link to the publication

  11. Can the Doppler be useful for a benchmark analysis of the wave-like properties of memory-dependent telegraphers′ equation

    Authors:
    T. Pietrzak, K. Górska, A. Horzela, L. Kocarev
    Academic press:
    Chaos (year: 2025, volume: 35, pages: 23134), Publisher: AIP
    Status:
    Published
    DOI:
    10.1063/5.0251227 – link to the publication

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