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authFullName_s : Grigory Panasenko

Method of Asymptotic Partial Domain Decomposition for Non-steady Problems: Wave Equation on a Thin Structure

Grigory Panasenko
Analytic Methods in Interdisciplinary Applications, pp.109-124, 2015
Book sections hal-02162806v1

Asymptotic analysis for the Kelvin–Voigt model for a thin laminate

Grigory Panasenko , Ruxandra Stavre
Comptes Rendus Mécanique, 2015, 343 (5-6), pp.365-370. ⟨10.1016/j.crme.2015.04.001⟩
Journal articles hal-02162807v1

Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure

Antonio Gaudiello , Grigory Panasenko , Andrey Piatnitski
Communications in Contemporary Mathematics, 2016, 18 (05), pp.1550057. ⟨10.1142/S0219199715500571⟩
Journal articles hal-02162810v1
Image document

Flows in a tube structure: Equation on the graph

Grigory Panasenko , Konstantin Pileckas
Journal of Mathematical Physics, 2014, 55 (8), pp.081505. ⟨10.1063/1.4891249⟩
Journal articles hal-02157638v1
Image document

Asymptotic Analysis of a Thin Elastic Plate--Viscoelastic Layer Interaction

Frédéric Chardard , Alexander Elbert , Grigory Panasenko
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2018, 16 (3), pp.1258-1282. ⟨10.1137/17M1138662⟩
Journal articles hal-01931449v1

Three Dimensional Asymptotic Analysis of an Axisymmetric Flow in a Thin Tube with Thin Stiff Elastic Wall

G. P. Panasenko , Grigory Panasenko , R. Stavre
Journal of Mathematical Fluid Mechanics, 2020, 22 (2), pp.20. ⟨10.1007/s00021-020-0484-8⟩
Journal articles hal-04135104v1

Asymptotic expansion of the solution of the steady Stokes equation with variable viscosity in a two-dimensional tube structure

Giuseppe Cardone , Roula Fares , Grigory Panasenko
Journal of Mathematical Physics, 2012, 53, pp.103702. ⟨10.1063/1.4746738⟩
Journal articles hal-00869320v1

Asymptotic partial domain decomposition in thin tube structures: numerical experiments

Abdesselam Nachit , Grigory Panasenko , Abdel-Malek Zine
International Journal for Multiscale Computational Engineering, 2013, 11 (5), pp.407-441
Journal articles hal-00869325v1

Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall

Grigory Panasenko , Ruxandra Stavre
Networks and Heterogeneous Media, 2008, 3 (3), pp.651-673
Journal articles hal-00867984v1

Asymptotic analysis of the Stokes flow with variable viscosity in a thin elastic channel

Grigory Panasenko , Ruxandra Stavre
Networks and Heterogeneous Media, 2010, 3 (4), pp.789-812. ⟨10.3934/nhm.2010.5.783⟩
Journal articles hal-00868004v1

Steady-state navier–stokes equations in thin tube structure with the bernoulli pressure inflow boundary conditions: Asymptotic analysis

Rita Juodagalvyte , Grigory Panasenko , Konstantinas Pileckas
Mathematics , 2021, 9 (19), pp.2433. ⟨10.3390/math9192433⟩
Journal articles hal-04134243v1

Steady State Non-Newtonian Flow in a Thin Tube Structure: Equation on the Graph

Grigory Panasenko , Konstantinas Pileckas , Bogdan Vernescu
St. Petersburg Mathematical Journal, 2022, 33 (2), pp.327-340. ⟨10.1090/spmj/1702⟩
Journal articles hal-04134227v1

Partial homogenization of the diffusion equation with a dirac-like potential

Latifa Ait Mahiout , Grigory Panasenko , Vitaly A Volpert
International Journal for Multiscale Computational Engineering, 2020, 18 (5), pp.507-518. ⟨10.1615/IntJMultCompEng.2020035521⟩
Journal articles hal-04135125v1

Vassily Vassilievich Zhikov

Grigory Panasenko , Robert P. Gilbert , Alexander Pankov
Applicable Analysis, 2019, 98 (1-2), pp.1-2. ⟨10.1080/00036811.2018.1550904⟩
Journal articles hal-04136263v1
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Homogenization of a one-dimensional diffusion - discrete absorption equation with feedback

Grigory Panasenko , Vitaly Volpert
Applicable Analysis, 2016, 95, pp.1507 - 1516. ⟨10.1080/00036811.2016.1179288⟩
Journal articles hal-01397565v1

Khokhlov-Zabolotskaya-Kuznetsov type equation : nonlinear acoustics heterogeneous media

Ilya Kostin , Grigory Panasenko
SIAM Journal on Mathematical Analysis, 2008, 40 (2), pp.699-715
Journal articles hal-00867985v1

Homogenization of integro-differential equation of Burgers type

Grigory Panasenko , Natalia Pshenitsyna
Applicable Analysis, 2008, 87 (12), pp.1311-1322
Journal articles hal-00867987v1
Image document

Multiscale modeling of light absorption in tissues: limitations of classical homogenization approach.

Stéphane Mottin , Grigory Panasenko , S Sivaji Ganesh
PLoS ONE, 2010, 5 (12), pp.e14350. ⟨10.1371/journal.pone.0014350⟩
Journal articles ujm-00628784v1
Image document

A viscous fluid flow through a thin channel with mixed rigid-elastic boundary. Variational and asymptotic analysis

Roula Fares , Grigory Panasenko , Ruxandra Stavre
Abstract and Applied Analysis, 2012, 2012, pp.ID 152743. ⟨10.1155/2012/152743⟩
Journal articles hal-00869305v1
Image document

Finite volume implementation of the method of asymptotic partial domain decomposition for the heat equation on a thin structure

Grigory Panasenko , Marie-Claude Viallon
Russian Journal of Mathematical Physics, 2015, 22 (2), pp.237-263. ⟨10.1134/S1061920815020107⟩
Journal articles hal-01223472v1

Asymptotic analysis of the non-steady Navier–Stokes equations in a tube structure. I. The case without boundary-layer-in-time

Grigory Panasenko , Konstantin Pileckas
Nonlinear Analysis: Theory, Methods & Applications, 2015, 122, pp.125-168. ⟨10.1016/⟩
Journal articles hal-02162808v1

Non-Newtonian flows in domains with non-compact boundaries

Grigory Panasenko , Bogdan Vernescu
Advances in Nonlinear Analysis, 2019, 183, pp.214-229. ⟨10.1016/⟩
Journal articles hal-02162819v1

Multiscale models of blood flow in the compliant aortic bifurcation

Tatyana Dobroserdova , Fuyou Liang , Grigory Panasenko , Yuri Vassilevski
Applied Mathematics Letters, 2019, 93, pp.98-104. ⟨10.1016/j.aml.2019.01.037⟩
Journal articles hal-02162820v1

Asymptotic analysis of a viscous fluid layer separated by a thin stiff stratified elastic plate

Julia Orlik , Grigory Panasenko , Ruxandra Stavre
Applicable Analysis, 2021, 100 (3), pp.589-629. ⟨10.1080/00036811.2019.1612051⟩
Journal articles hal-04135086v1

Integro-differential Burgers equation: solvability and homogenization

Grigory Panasenko , Andrey Amosov
Nonlinear Analysis: Theory, Methods and Applications, 2010, 72 (11), pp.3953-3968. ⟨10.1016/⟩
Journal articles istex hal-00868000v1
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Asymptotics and discretization of a weakly singular kernel: application to viscous flows in a network of thin tubes

Éric Canon , Frédéric Chardard , Grigory Panasenko , Olga Štikonienė
Journal of Computational Physics, 2023, 491, pp.112327. ⟨10.1016/⟩
Journal articles hal-02906473v4
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Pressure boundary conditions for viscous flows in thin tube structures: Stokes equations with locally distributed Brinkman term

Grigory Panasenko , Konstantinas Pileckas
Mathematical Modelling of Natural Phenomena, 2023, 18, pp.17. ⟨10.1051/mmnp/2023016⟩
Journal articles hal-04175252v1

Asymptotic analysis of the non-steady Navier–Stokes equations in a tube structure. II. General case

Grigory Panasenko , Konstantin Pileckas
Advances in Nonlinear Analysis, 2015, 125, pp.582-607. ⟨10.1016/⟩
Journal articles hal-02162809v1

Memory effects in homogenization of viscoelastic Kelvin-Voigt model with time dependent coefficients

Grigory Panasenko , Zouhair Abdessamad , Ilya Kostin , P. Smyshlyaev Valery
Mathematical Models and Methods in Applied Sciences, 2009, 19 (9), pp.1603-1630. ⟨10.1142/S0218202509003905⟩
Journal articles hal-00867996v1

Asymptotic analysis of a viscous fluid-thin plate interaction: periodic flow

Grigory Panasenko , Ruxandra Stavre
Comptes Rendus Mécanique, 2012, 340 (8), pp.590-595
Journal articles hal-00869321v1