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

2020/39/O/ST2/01563

Keywords:

anomalous diffusion with finite propagation speed generalized Cattaneo (telegrapher's) equation continuous-time persistent random walk Bernstein theorem

Descriptors:

  • ST2_019:
  • ST2_017:

Panel:

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

Host institution :

Instytut Fizyki Jądrowej im. Henryka Niewodniczańskiego Polskiej Akademii Nauk

woj. 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 (Y-m-d): 2021-10-01

Project end date (Y-m-d): 2025-09-30

Project duration:: 48 months (the same as in the proposal)

Project status: Pending project

Project description

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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 (rok: 2022, tom: 105, strony: 64133), Wydawca: APS
    Status:
    Published
    DOI:
    10.48550/arXiv.2203.04046 - link to the publication
  2. Subordination and memory dependent kinetics in diffusion and relaxation phenomena
    Authors:
    K. Górska and A. Horzela
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2023, tom: 26, strony: 480-512), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13540-023-00141-8 - link to the publication
  3. 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. (rok: 2021, tom: 103, strony: 106006), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2021.106006 - link to the publication
  4. 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 (rok: 2023, tom: 56, strony: 313001 (43pp)), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8121/acdf9b - link to the publication
  5. Volterra-Prabhakar function of distributed order and some applications
    Authors:
    K. Górska, T. Pietrzak, T. Sandev, Ž. Tomovski
    Academic press:
    Elsevier (rok: 2023, tom: 433, strony: 115306), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2023.115306 - 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. (rok: 2021, tom: 5, strony: 265), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/fractalfract5040265 - link to the publication
  7. 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 (rok: 2024, tom: 26, strony: 665), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e26080665 - link to the publication
  8. Operational solution for the generalized Fokker-Planck and generalized diffusion-wave equations
    Authors:
    K. Górska
    Academic press:
    Physical Review E (rok: 2025, tom: 111, strony: 24103), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.111.024103 - link to the publication
  9. 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 (rok: 2025, tom: 35, strony: 23134), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1063/5.0251227 - link to the publication
  10. 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 (rok: 2024, tom: 57, strony: 235004), Wydawca: IOPScience
    Status:
    Published
    DOI:
    10.1088/1751-8121/ad4934 - link to the publication
  11. 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 (rok: 2024, tom: 225, strony: 125373), Wydawca: ScienceDirect
    Status:
    Published
    DOI:
    10.1016/j.ijheatmasstransfer.2024.125373 - link to the publication

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