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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Mathematical models containing fractal derivatives

2012/05/B/ST1/00546

Keywords:

fractional derivative Quasi-Geostrophic equation asymptotic behaviour of solution

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_10: Ordinary differential equations and dynamical systems
  • 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 Śląski w Katowicach, Wydział Matematyki, Fizyki i Chemii

woj. śląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Tomasz Dłotko 

Number of co-investigators in the project: 2

Call: OPUS 3 - announced on 2012-03-15

Amount awarded: 120 003 PLN

Project start date (Y-m-d): 2013-01-30

Project end date (Y-m-d): 2017-01-29

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

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (8)
  1. Fractional Burgers equation in a bounded domain
    Authors:
    Maria B. Kania
    Academic press:
    Colloquium Mathematicum (rok: 2018, tom: 151, strony: 57-70), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    brak - link to the publication
  2. Fractional Navier-Stokes equation
    Authors:
    Jan W. Cholewa, T.Dlotko
    Academic press:
    Discrete and Continuous Dynamical Systems-B (rok: 2018, tom: 23, strony: 2967-2988), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2017149 - link to the publication
  3. Korteweg-de Vries-Burgers system in R^N
    Authors:
    Tomasz Dlotko, Maria B. Kania, Shan Ma
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2014, tom: 411, strony: 853-872), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.007 - link to the publication
  4. Quasi-geostrophic equation in R^2
    Authors:
    Tomasz Dlotko, Maria B. Kania, Chunyou Sun
    Academic press:
    Journal of Differential Equations (rok: 2015, tom: 259, strony: 531-561), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2015.02.022 - link to the publication
  5. Pseudodifferential parabolic equations in uniform spaces
    Authors:
    Tomasz Dlotko, Maria B. Kania, Chunyou Sun
    Academic press:
    Applicable Analysis (rok: 2014, tom: 93, strony: 14-34), Wydawca: Taylor & Francis Group
    Status:
    Published
    DOI:
    10.1080/00036811.2012.753587 - link to the publication
  6. Navier-Stokes equation and its fractional approximations
    Authors:
    T. Dlotko
    Academic press:
    Applied Mathematica and Optimization (rok: 2018, tom: 77, strony: 99-128), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00245-016-9368-y - link to the publication
  7. Pseudodifferential parabolic equations; two examples
    Authors:
    Tomasz Dlotko, Maria B. Kania, Chunyou Sun
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2014, tom: 43 no 2, strony: 463-492), Wydawca: Juliusz Schauder Center for Nonlinear Studies Nicolaus Copernicus University Torun, Poland
    Status:
    Published
    DOI:
    brak - link to the publication
  8. Subcritical Hamilton-Jacobi fractional equation in R^N
    Authors:
    Tomasz Dlotko, Maria B. Kania
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2015, tom: 38, strony: 2547-2560), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.3241 - link to the publication

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