Zobrazeno 1 - 10
of 21
pro vyhledávání: '"G Georg Prokert"'
Publikováno v:
de Jong, T G, Hulshof, J & Prokert, G 2020, ' Modelling fungal hypha tip growth via viscous sheet approximation ', Journal of Theoretical Biology, vol. 492, 110189, pp. 1-13 . https://doi.org/10.1016/j.jtbi.2020.110189
Journal of Theoretical Biology, 492:110189, 1-13. Academic Press Inc.
Journal of Theoretical Biology, 492:110189. Agon Elsevier
Journal of Theoretical Biology, 492:110189, 1-13. Academic Press Inc.
Journal of Theoretical Biology, 492:110189. Agon Elsevier
In this paper we present a new model for single-celled, non-branching hypha tip growth. The growth mechanism of hypha cells consists of transport of cell wall building material to the cell wall and subsequent incorporation of this material in the wal
Autor:
G Georg Prokert, Bogdan-Vasile Matioc
Publikováno v:
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 151(6), 1815-1845. Cambridge University Press
We study the two-phase Stokes flow driven by surface tension with two fluids of equal viscosity, separated by an asymptotically flat interface with graph geometry. The flow is assumed to be two-dimensional with the fluids filling the entire space. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3708cf83b4f48791ce1e1dd8a58094d1
https://research.tue.nl/nl/publications/6fa98f26-f7f1-4fca-ab73-fd211c80dd62
https://research.tue.nl/nl/publications/6fa98f26-f7f1-4fca-ab73-fd211c80dd62
Publikováno v:
European Journal of Applied Mathematics 27 (2016), Nr. 4
European Journal of Applied Mathematics, 27(4), 647-666. Cambridge University Press
European Journal of Applied Mathematics, 27(4), 647-666. Cambridge University Press
Within the framework of variational modelling we derive a one-phase moving boundary problem describing the motion of a semipermeable membrane enclosing a viscous liquid, driven by osmotic pressure and surface tension of the membrane. For this problem
Autor:
G Georg Prokert, Friedrich Lippoth
Publikováno v:
Journal of Mathematical Fluid Mechanics, 21(3):40. Birkhäuser Verlag
We consider a two-phase elliptic–parabolic moving boundary problem modelling an evaporation front in a porous medium. Our main result is a proof of short-time existence and uniqueness of strong solutions to the corresponding nonlinear evolution pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2ee60c61444a536b2b70cca1bffb2ad
Autor:
G Georg Prokert, Friedrich Lippoth
Publikováno v:
Nonlinear Differential Equations and Applications, 21(1), 129-148. Birkhäuser Verlag
For a two-phase moving boundary problem modelling the motion of a semipermeable membrane by osmotic pressure and surface tension, we prove that the manifold of equilibria is locally exponentially attractive. Our method relies on maximal regularity re
Publikováno v:
SIAM Journal on Mathematical Analysis, 45(2), 700-727. Society for Industrial and Applied Mathematics (SIAM)
SIAM Journal on Mathematical Analysis, 45(2), 700-727. Society for Industrial and Applied Mathematics Publications
Hulshof, J, Nolet, R W & Prokert, G 2013, ' Existence of solutions to the diffusive VSC model ', SIAM Journal on Mathematical Analysis, vol. 45, no. 2, pp. 700-727 . https://doi.org/10.1137/110854096
SIAM Journal on Mathematical Analysis, 45(2), 700-727. Society for Industrial and Applied Mathematics Publications
Hulshof, J, Nolet, R W & Prokert, G 2013, ' Existence of solutions to the diffusive VSC model ', SIAM Journal on Mathematical Analysis, vol. 45, no. 2, pp. 700-727 . https://doi.org/10.1137/110854096
We prove existence of classical solutions to the so-called diffusive vesicle supply center (VSC) model describing the growth of fungal hyphae. It is supposed in this model that the local expansion of the cell wall is caused by a flux of vesicles into
Autor:
Friedrich Lippoth, G Georg Prokert
Publikováno v:
Interfaces and Free Boundaries 18 (2016), Nr. 2
Interfaces and Free Boundaries, 18(2), 161-179. European Mathematical Society Publishing House
Interfaces and Free Boundaries, 18(2), 161-179. European Mathematical Society Publishing House
Within the framework of variational modelling we derive a two-phase moving boundary problem that describes the motion of a semipermeable membrane separating two viscous liquids in a fixed container. The model includes the effects of osmotic pressure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf8744272ed691f24c118f47cf2cd0f6
Autor:
Friedrich Lippoth, G Georg Prokert
Publikováno v:
Journal of Evolution Equations, 12(2), 413-434. Birkhäuser Verlag
For a moving boundary problem modeling the motion of a semipermeable membrane by osmotic pressure and surface tension, we prove the existence and uniqueness of classical solutions on small time intervals. Moreover, we construct solutions existing on
Autor:
G Georg Prokert, Bogdan-Vasile Matioc
Publikováno v:
Interfaces and Free Boundaries, 14(2), 205-230. European Mathematical Society Publishing House
We rigorously prove the convergence of appropriately scaled solutions of the 2D Hele-Shaw moving boundary problem with surface tension in the limit of thin threads to the solution of the formally corresponding Thin Film equation. The proof is based o
Autor:
E Erwin Vondenhoff, G Georg Prokert
Publikováno v:
European Journal of Applied Mathematics, 20(4), 343-362. Cambridge University Press
We present a stability result for a class of non-trivial self-similarly vanishing solutions to a 3D Hele-Shaw moving boundary problem with surface tension and single-point suction. These solutions are domains that bifurcate from the trivial spherical