Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Sudden directional diffusion and evolution of free surfaces

2011/01/B/ST1/01197

Keywords:

free surfaces singular diffusion total variation flow viscosity solutions

Descriptors:

  • ST1_11: Partial differential equations

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: 5

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 553 200 PLN

Project start date (Y-m-d): 2011-12-20

Project end date (Y-m-d): 2015-03-19

Project duration:: 39 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. notebook - komputer przenośny (7 500 PLN)
  2. notebook - komputer przenośny (2 250 PLN)
  3. zestaw komputerowy (7 500 PLN)

Information in the final report

  • Publication in academic press/journals (11)
  • Articles in post-conference publications (1)
  1. Bent rectangles as viscosity solutions over a circle
    Authors:
    Yoshikazu Giga, Przemysław Górka, Piotr Rybka
    Academic press:
    Nonlinear Analysis Series A: Theory, Methods & Applications (rok: 2015, tom: 125, strony: 518-549), Wydawca: Elsvier
    Status:
    Published
    DOI:
    10.1016/j.na.2015.05.033 - link to the publication
  2. Global attractors of sixth order PDEs describing the faceting of growing surfaces
    Authors:
    M. D. Korzec, P. Nayar and P. Rybka
    Academic press:
    Journal of Dynamics and Differential Equations , Wydawca: Springer
    Status:
    Submitted
    DOI:
    - - link to the publication
  3. Oscillating facets
    Authors:
    Milena Matusik, Piotr Rybka
    Academic press:
    Portugaliae Mathematica (tom: bd., strony: bd.), Wydawca: European Mathematical Society
    Status:
    Submitted
    DOI:
    bd - link to the publication
  4. Global weak solutions to a sixth order Cahn-Hilliard type equation
    Authors:
    M. Korzec, P. Nayar, P. Rybka
    Academic press:
    SIAM J. Math. Analysis (rok: 2012, tom: 44, strony: 3369-3387), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/100817590 - link to the publication
  5. On a higher order convective convective Cahn-Hilliard type equation
    Authors:
    M. Korzec, P. Rybka
    Academic press:
    SIAM J. Appl. Math. (rok: 2012, tom: 72, strony: 1343-1360), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/110834123 - link to the publication
  6. Stagnation, cretion, breaking
    Authors:
    Piotr B. Mucha
    Academic press:
    Advances in Mathematical Sciences and Applications (rok: 2014, tom: 24, strony: 223-235), Wydawca: Gakkotosho
    Status:
    Published
    DOI:
    brak - link to the publication
  7. Well-posedness of sudden directional diffusion equations
    Authors:
    Piotr B. Mucha, Piotr Rybka
    Academic press:
    Math. Meth. Appl. Sci (rok: 2013, tom: 36, strony: 2359-2370), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.2759 - link to the publication
  8. The Crystalline Dynamics of Spiral-Shaped Curves
    Authors:
    M. Dudziński, P. Górka
    Academic press:
    J. Stat. Phys. (rok: 2015, tom: bd., strony: bd.), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s10955-015-1254-5 - link to the publication
  9. Fine singularity analysis of solutions to Laplace equation
    Authors:
    Adam Kubica, Piotr Rybka
    Academic press:
    Math. Meth. Appl. Sci (rok: 2015, tom: 38, strony: 1734–1745), Wydawca: Wiley
    Status:
    Accepted for publication
    DOI:
    10.1002/mma.3182 - link to the publication
  10. A local and global well-posedness results for the general stress-assisted diffussion systems
    Authors:
    Marta Lewicka, Piotr B. Mucha
    Academic press:
    Journal of Elasticity (tom: bd., strony: bd.), Wydawca: Springer
    Status:
    Submitted
    DOI:
    bd. - link to the publication
  11. Fine singularity analysis of solutions to the Laplace equation: Berg's effect
    Authors:
    Adam Kubica, Piotr Rybka
    Academic press:
    Math. Meth. Appl. Sci (tom: bd., strony: bd.), Wydawca: Wiley
    Status:
    Submitted
    DOI:
    bd. - link to the publication
  1. Models of sudden directional diffusion
    Authors:
    P.B. Mucha, P. Rybka
    Conference:
    Variational Methods for Evolving Objects (rok: 2015, ), Wydawca: World Scientific
    Data:
    konferencja lipiec 2012
    Status:
    Accepted for publication

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