The problems of the project are presented in local press:
1. C. Bertoglio, C. Conca, D. Nolte, G. Panasenko and K. Pileckas, Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions, SIAM J. Appl. Math., Vol. 79, No. 3, 959-985, 2019, https://epubs.siam.org/doi/abs/10.1137/18M1229572
2. T. Dobroserdova, F. Liang, G. Panasenko and Y. Vassilevski, Multiscale models of blood flow in the compliant aortic bifurcation, Applied Mathematics Letters 93, 98–104, 2019, https://www.sciencedirect.com/science/article/pii/S0893965919300448
3. G. Panasenko, B. Vernescu, Non-Newtonian flows in domains with non-compact boundaries, Nonlinear Analysis 183, 214–229, 2019, https://www.sciencedirect.com/science/article/pii/S0362546X1930015X
4. R. Juodagalvytė, G. Panasenko, K. Pileckas, Time periodic Navier-Stokes equations in a thin tube structure, Bound Value Probl 2020, 28, 2020) https://doi.org/10.1186/s13661-020-01334-3
5. M. V. Korobkov, K. Pileckas, R. Russo, Solvability in a finite pipe of steady-state Navier–Stokes equations with boundary conditions involving Bernoulli pressure, Calc. Var. 59, 32, 2020, https://doi.org/10.1007/s00526-019-1688-8
6. K. Kaulakytė, K. Pileckas, Nonhomogeneous boundary value problem for the time periodic linearized Navier-Stokes system in a domain with outlet to infinity, Journal of Mathematical Analysis and Applications, 2020, https://doi.org/10.1016/j.jmaa.2020.124126
7. G. Panasenko, K. Pileckas, Periodic in time flow in thin structure: equation on the graph, Journal of Mathematical Analysis and Applications 490:2, 2020, https://doi.org/10.1016/j.jmaa.2020.124335
8. R. Čiegis, G. Panasenko, K. Pileckas, V. Šumskas, ADI, scheme for partially dimension reduced heat conduction models, Computers and Mathematics with Applications 80, 1275–1286, 2020, https://doi.org/10.1016/j.camwa.2020.06.012
9. É. Canon, F. Chardard, G. Panasenko, O. Štikonienė, Numerical solution of the viscous flows in a network of thin tubes: equations on the graph, J. Comput. Phys., 435(110262): 1–31, 2021, https://doi.org/10.1016/j.jcp.2021.110262
10. K. Kaulakytė, N. Kozulinas, K. Pileckas, Time-periodic Poiseuille-type solution with minimally regular flow rate, Nonlinear Analysis: Modelling and Control 26 (5), 947–968, 2021, https://doi.org/10.15388/namc.2021.26.24502
11. G. Panasenko, K. Pileckas, B. Vernescu, Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity, Nonlinear Analysis: Modelling and Control, Vol. 26, No. 6, 947–968, 1166-1199, 2021, https://doi.org/10.15388/namc.2021.26.24600
Additional publication:
G. Panasenko, R. Stavre, Viscous fluid-thin cylindrical elastic body interaction: asymptotic analysis on contrasting properties, Applicable Analysis, 98:1-2, 162-216, https://doi.org/10.1080/00036811.2018.1442000
