Zobrazeno 1 - 10
of 206
pro vyhledávání: '"Grigory Panasenko"'
Publikováno v:
Mathematical Modelling and Analysis, Vol 29, Iss 4 (2024)
We consider the non-stationary flow of a micropolar fluid in a thin channel with an impervious wall and an elastic stiff wall, motivated by applications to blood flows through arteries. We assume that the elastic wall is composed of several layers wi
Externí odkaz:
https://doaj.org/article/cbf74052d9594a3aa8eb82caf28498be
Publikováno v:
Mathematical Modelling and Analysis, Vol 28, Iss 4 (2023)
The dimension reduction for the viscous flows in thin tube structures leads to equations on the graph for the macroscopic pressure with Kirchhoff type junction conditions in the vertices. Non-Newtonian rheology of the flow generates nonlinear equatio
Externí odkaz:
https://doaj.org/article/2c64f28c55014c06b875c3b20078eaf6
Publikováno v:
Mathematics, Vol 11, Iss 16, p 3592 (2023)
The spectral problem for the diffusion operator is considered in a domain containing thin tubes. A new version of the method of partial asymptotic decomposition of the domain is introduced to reduce the dimension inside the tubes. It truncates the tu
Externí odkaz:
https://doaj.org/article/69fbe665910d45ce9776516aee93fc92
Autor:
Grigory Panasenko, Ruxandra Stavre
Publikováno v:
Mathematics, Vol 11, Iss 13, p 2847 (2023)
The Kelvin–Voigt model for a thin stratified two-dimensional visco-elastic strip is analyzed both in the quasistatic and in the dynamic cases. The Neumann boundary conditions on the upper and the lower parts of the boundary and periodicity conditio
Externí odkaz:
https://doaj.org/article/0119e5c1249b4cb89c3a6ed5d1597034
Autor:
Kristina Kaulakytė, Nikolajus Kozulinas, Grigory Panasenko, Konstantinas Pileckas, Vytenis Šumskas
Publikováno v:
Mathematics, Vol 11, Iss 9, p 2106 (2023)
An asymptotic ansatz for the solution of the axisymmetric problem of interaction between a thin cylindrical elastic tube and a viscous fluid filling the thin interior of the elastic tube was recently introduced and justified by G. Panasenko and R. St
Externí odkaz:
https://doaj.org/article/b3f482b6cfa94e519b61835e6b1a1665
Publikováno v:
Nonlinear Analysis, Vol 26, Iss 6 (2021)
The paper deals with a stationary non-Newtonian flow of a viscous fluid in unbounded domains with cylindrical outlets to infinity. The viscosity is assumed to be smoothly dependent on the gradient of the velocity. Applying the generalized Banach fixe
Externí odkaz:
https://doaj.org/article/537f6d4a301f4116bb457e5af79c5010
Publikováno v:
PLoS Computational Biology, Vol 16, Iss 2, p e1007232 (2020)
Gap junctions are key mediators of intercellular communication in cardiac tissue, and their function is vital to sustaining normal cardiac electrical activity. Conduction through gap junctions strongly depends on the hemichannel arrangement and trans
Externí odkaz:
https://doaj.org/article/9a8c5549fc0c4d94bdfade5a5f15d927
Publikováno v:
Mathematics, Vol 9, Iss 19, p 2433 (2021)
Steady-state Navier–Stokes equations in a thin tube structure with the Bernoulli pressure inflow–outflow boundary conditions and no-slip boundary conditions at the lateral boundary are considered. Applying the Leray–Schauder fixed point theorem
Externí odkaz:
https://doaj.org/article/47dbd1588040455481b6a3d1fd9ba9ab
Autor:
Stavre, Grigory Panasenko, Ruxandra
Publikováno v:
Mathematics; Volume 11; Issue 13; Pages: 2847
The Kelvin–Voigt model for a thin stratified two-dimensional visco-elastic strip is analyzed both in the quasistatic and in the dynamic cases. The Neumann boundary conditions on the upper and the lower parts of the boundary and periodicity conditio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=multidiscipl::4c2254d06e1a0add0f3f234eee68f91d
Publikováno v:
Mathematical Modelling of Natural Phenomena.
The steady state Stokes-Brinkman equations in a thin tube structure is considered. The Brinkman term differs from zero only in small balls near the ends of the tubes. The boundary conditions are: given pressure at the inflow and outflow of the tube s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2e60f29024a65a98163833440913d8a
https://doi.org/10.1051/mmnp/2023016
https://doi.org/10.1051/mmnp/2023016