Time-periodic Poiseuille-type solution with minimally regular flow rate

Autor: Kristina Kaulakytė, Nikolajus Kozulinas, Konstantin Pileckas

Publikováno v: Nonlinear Analysis, Vol 26, Iss 5 (2021)

The nonstationary Navier–Stokes equations are studied in the infinite cylinder Π = {x = (x', xn) ∈ Rn: x' ∈ σ ∈ R n – 1: – ∞ < xn < ∞, n = 2, 3} under the additional condition of the prescribed time-periodic flow-rate (flux) F(t). I

Externí odkaz: https://doaj.org/article/ec0fe131732344e48288344293a959e2

Nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate-dependent viscosity

Autor: Grigory Panasenko, Konstantin Pileckas

Publikováno v: Advances in Nonlinear Analysis. 12

A nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate dependent viscosity is considered. This problem is nonlinear and nonlocal in time and inverse to the nonlinear heat equation. The provided mathematical analysis includes the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::12e4c0c66daddf867e2919ae9b4fa6ec
https://doi.org/10.1515/anona-2022-0259

On Convergence of Arbitrary D-Solution of Steady Navier–Stokes System in 2D Exterior Domains

Autor: Konstantin Pileckas, Remigio Russo, Mikhail V. Korobkov

Publikováno v: Archive for Rational Mechanics and Analysis. 233:385-407

We study solutions to stationary Navier Stokes system in two dimensional exterior domain. We prove that any such solution with finite Dirichlet integral converges at infinity uniformly. No additional condition (on symmetry or smallness) are assumed.<

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7584778dedc84e23793129de7aa7e35
https://doi.org/10.1007/s00205-019-01359-8

Multiscale Analysis of Viscous Flows in Thin Tube Structures

Autor: Grigory Panasenko, Konstantin Pileckas

This book presents the analysis of viscous flows in thin tube structures, and develops a multi-scale method for modeling blood flow. For the reader's convenience, the authors introduce all necessary notions and theorems from functional analysis and t

Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity

Autor: Konstantin Pileckas, Bogdan Vernescu, Grigory Panasenko

Publikováno v: Nonlinear analysis: modelling and control, Vilnius : Vilniaus universiteto leidykla, 2021, vol. 26, no. 6, p. 1166-1199
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://explore.openaire.eu/search/publication?articleId=doi_dedup___::96fc2b6c9b76086da81311dfb67aace0
https://repository.vu.lt/VU:ELABAPDB109739158&prefLang=en_US