The problems of the project are presented in local press:
Scientific papers:
1. G. Panasenko, K. Pileckas, B. Vernescu. Steady state non-Newtonian flow in thin tube structure: equation on the graph. Algebra i Analiz, 33:2, 197–214 , 2021.
2. R. Juodagalvytė, G. Panasenko, K. Pileckas. Steady-State Navier-Stokes Equations in Thin Tube Structure with the Bernoulli Pressure Inflow Boundary Conditions: Asymptotic Analysis, Mathematics 2021, 9(19). https://doi.org/10.3390/math9192433
3. C. Bertoglio, D. Nolte, G. Panasenko, K. Pileckas. Reconstruction of the Pressure in the Method of Asymptotic Partial Decomposition for the Flows in Tube Structures. SIAM J. Appl. Math., 81(5), 2083–2110, 2021. https://doi.org/10.1137/20M1388462
4. G. Panasenko, K. Pileckas, B. Vernescu. Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition, Mathematical Models of Natural Phenomena, Vol. 17, 2022, 36 pages. https://doi.org/10.1051/mmnp/2022005
5. É. Canon, F. Chardard, G. Panasenko, O. Štikonienė. Asymptotics and discretization of a weakly singular kernel: Application to viscous flows in a network of thin tubes, Journal of Computational Physics, Vol. 491, 2023, 35 pages. https://doi.org/10.1016/j.jcp.2023.112327
6. G. Panasenko, K. Pileckas. Non-stationary Poiseuille flow of a non-Newtonian fluid with the shear rate dependent viscosity, Advances in Nonlinear Analysis, vol. 12, no. 1, 2023, pp. 20220259. https://doi.org/10.1515/anona-2022-0259
7. G. Panasenko, K. Pileckas. Partial asymptotic dimension reduction for steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure. Journal of Mathematical Fluid Mechanics, vol. 25, No.11, 2023. https://doi.org/10.1007/s00021-022-00749-5
8. K. Kaulakytė, N. Kozulinas, G. Panasenko, K. Pileckas, V. Šumskas. Poiseuille-Type Approximations for Axisymmetric Flow in a Thin Tube with Thin Stiff Elastic Wall. Mathematics 2023, 11(9), 2106. https://doi.org/10.3390/math11092106
9. G. Panasenko, K. Pileckas. Pressure boundary conditions for viscous flows in thin tube structures: Stokes equations with locally distributed Brinkman term, Mathematical Models of Natural Phenomena, 2023. https://doi.org/10.1051/mmnp/2023016
10. G. Panasenko, N. Kozulinas, K. Pileckas, V. Šumskas. Numerical study of the equation on the graph for the steady state non-Newtonian flow in thin tube structure, Journal Mathematical Modelling and Analysis, Vol. 28, No. 4, 2023. https://doi.org/10.3846/mma.2023.18311
11. G. Panasenko, R. Stavre. Asymptotic Solution for a Visco-Elastic Thin Plate; Quasistatic and Dynamic Cases. Mathematics, 2023, 11(13), 2847. https://doi.org/10.3390/math11132847
12. Amosov A., Gomez D., Panasenko G., Perez M.E. Asymptotic domain decomposition method for approximation of the diffusion operator in a domain containing thin tubes, Mathematics, 11, 2023, 3592. https://doi.org/10.3390/math11163592
13. Panasenko G., Paoli L., Stavre R. Micropolar fluid-thin elastic structure interaction: variational analysis, Mathematical Modelling and Analysis, 29, 4, 2024, 641-668. https://doi.org/10.3846/mma.2024.20053
14. Krier M, Orlik J., Panasenko G., Steiner K. Asymptotically proved numerical coupling of a 2D flexural porous plate, SIAM Multiscale Modeling and Simulation, 22,4, 2024, 1608-1645. https://doi.org/10.1137/23M1627687
15. Bouchnita A., Volpert V., Kozulinas N., Belyaev A., Panasenko G. Multiphase patient-specific simulations to study fibrillation-induced thrombosis in the left atrium appendage, Physics of Fluids, 36, 071912, 2024. https://doi.org/10.1063/5.0216196
16. Amosov A., Gomez D., Panasenko G., Perez M.E. Approximation of eigenvalues and eigenfunctions of the diffusion equation in a domain containing thin tubes by asymptotic domain decomposition method, Applicable Analysis, 2024.https://doi.org/10.1080/00036811.2024.2368699
17. Aidietis A., Aidietienė S., Ardatov O., Borodinas S., Katkus R., Kaulakytė K., Kozulinas N., Panasenko G., Pileckas K., Račkauskas G. Efficient Computation of Blood Velocity in the Left Atrial Appendage: A Practical Perspective (submitted). https://drive.mif.vu.lt/s/YZWoMmzja6kPMpi
Books:
1. G. Panasenko. Introduction to Multiscale Mathematical Modeling, World Scientific, New Jersey/London/Singapore/Beijing/Shanghai/Hong Kong/Taipei/Chennai/Tokio, 2022, 158 pp.
2. G. Panasenko, K. Pileckas. Multiscale Analysis of Viscous Flows in Thin Tube Structures, Birkhauser, Springer Nature Switzerland, 2024, 488 pp.
3. M. Korobkov, K. Pileckas, R. Russo. The Steady Navier-Stokes System, Birkhauser, Springer Nature Switzerland, 2024, 285 pp.
