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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Nonlocal problems of interface evolution

2017/26/M/ST1/00700

Keywords:

total variation gradient flows anisotropy dynamic boundary conditions facets fractional Caputo derivative fractional partial differential equations weak solutions viscosity solutions

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_8: Analysis
  • ST1_18: Control theory and optimisation

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Piotr Rybka 

Number of co-investigators in the project: 7

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

Amount awarded: 674 800 PLN

Project start date (Y-m-d): 2018-04-20

Project end date (Y-m-d): 2023-04-19

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

Project status: Project settled

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 (17)
  • Book publications / chapters in book publications (1)
  1. A space-fractional Stefan problem
    Authors:
    Katarzyna Ryszewska
    Academic press:
    Nonlinear Analysis (rok: 2020, tom: 199, strony: 112027), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2020.112027 - link to the publication
  2. Some comments on using fractional derivative operators in modeling non-local diffusion processes
    Authors:
    Tokinaga Namba, Piotr Rybka, Vaughan Voller
    Academic press:
    J. Comput. Appl. Math. (rok: 2021, tom: 381, strony: 113040), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2020.113040 - link to the publication
  3. A one-phase space -- fractional Stefan problem with no liquid initial domain
    Authors:
    Sabrina Roscani, Katarzyna Ryszewska and Lucas Venturato
    Academic press:
    SIAM Journal of Mathematical Analysis (rok: 2022, tom: 54, strony: 5489-5523), Wydawca: Society for Industrial and Applied Mathematics
    Status:
    Published
    DOI:
    10.1137/21M1461599 - link to the publication
  4. A self-similar solution to time-fractional Stefan problem
    Authors:
    Adam Kubica, Katarzyna Ryszewska
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2021, tom: 44, strony: 4245-4275), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.7028 - link to the publication
  5. Initial-Boundary Value Problems For Fractional Diffusion Equations With Time-Dependent Coefficients
    Authors:
    Adam Kubica, Masahiro Yamamoto
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2018, tom: 21, strony: 276--311), Wydawca: de Gruyter
    Status:
    Published
    DOI:
    10.1515/fca-2018-0018 - link to the publication
  6. Convergence of solutions to a convective Cahn-Hilliard type equation of the sixth order in case of small deposition rates
    Authors:
    Piotr Rybka, Glen Wheeler
    Academic press:
    SIAM Journal on Mathematical Analysis (rok: 2022, tom: -, strony: 33), Wydawca: Society for Industrial and Appllied Mathematics
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  7. The heat equation with the dynamic boundary condition as asingular limit of problems degenerating at the boundary,
    Authors:
    Yoshikazu Giga, Michał Łasica, Piotr Rybka
    Academic press:
    Asymptotic Analysis (rok: 2022, tom: --, strony: 45), Wydawca: IOS Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Decay of solutions to parabolic-type problem with distributed order Caputo derivative
    Authors:
    Adam Kubica, Katarzyna Ryszewska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 465, strony: 75--99), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.04.067 - link to the publication
  9. On a Space Fractional Stefan problem of Dirichlet type with Caputo flux
    Authors:
    Sabrina Roscani, Katarzyna Ryszewska, Lucas Venturato
    Academic press:
    Interfaces and Free Boundaries (rok: 2023, tom: --, strony: 33), Wydawca: EMS Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  10. An analytic semigroup generated by a fractional differential operator,
    Authors:
    Katarzyna Ryszewska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2020, tom: 483, strony: 123654), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2019.123654 - link to the publication
  11. The Free Material Design problem for stationary heat equation on low dimensional structures
    Authors:
    Tomasz Lewiński, Piotr Rybka, Anna Zatorska-Goldstein
    Academic press:
    Nonlinearity (rok: 2023, tom: 36, strony: 4501-4521), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6544/ace303 - link to the publication
  12. On viscosity solutions of space-fractional diffusion equations of Caputo type
    Authors:
    Tokinaga Namba, Piotr Rybka
    Academic press:
    SIAM Journal of Mathematical Analysis (rok: 2020, tom: 52, strony: 653-681), Wydawca: Society for Industrial and Applied Mathematics
    Status:
    Published
    DOI:
    10.1137/19M1259316 - link to the publication
  13. The planar Least Gradient problem in convex domains: the discontinuous case
    Authors:
    Piotr Rybka, Ahmad Sabra
    Academic press:
    Nonlinear Differential Equations and Applications NoDEA (rok: 2021, tom: 1,17708333333333, strony: 30), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00030-021-00678-8 - link to the publication
  14. On boundary detachment phenomena for the total variation flow with dynamic boundary conditions
    Authors:
    Yoshikazu Giga, Ryota Nakayashiki, Piotr Rybka, Ken Shirakawa
    Academic press:
    J. Differential Equations (rok: 2020, tom: 269, strony: 10587-10629), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2020.07.015 - link to the publication
  15. A stationary heat conduction problem in low dimensional sets in R^N
    Authors:
    Piotr Rybka, Anna Zatorska-Goldstein
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2020, tom: 59, strony: 40), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-019-1695-9 - link to the publication
  16. Existence of $W^{1,1}$ solutions to a class of variational problems with linear growth on convex domains
    Authors:
    Michał Łasica, Piotr Rybka
    Academic press:
    Indiana University Mathematics Journal (rok: 2021, tom: 70, strony: 2427-2450), Wydawca: Indiana University
    Status:
    Published
    DOI:
    brak - link to the publication
  17. Special Solutions to the Space Fractional Diffusion Problem
    Authors:
    Tokinaga Namba, Piotr Rybka, Shoichi Sato
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2022, tom: 25, strony: 2139-2465), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13540-022-00100-9 - link to the publication
  1. --
    Authors:
    Adam Kubica, Katarzyna Ryszewska and Masahiro Yamamoto
    Book:
    Time-Fractional Differential Equations, A Theoretical Introduction (rok: 2020, tom: -, strony: 134), Wydawca: Springer Nature Singapore Pte Ltd
    Status:
    Published

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