The problems of the project are presented in local press:


1. C. Bertoglio, C. Conca, D. Nolte, G. Panasenko and K. PileckasJunction of models of different dimension for flows in tube structures by Womersley-type interface conditionsSIAM J. Appl. Math., Vol. 79, No. 3, 959-985, 2019,


2. T. Dobroserdova, F. Liang, G. Panasenko and Y. Vassilevski, Multiscale models of blood flow in the compliant aortic bifurcationApplied Mathematics Letters 93, 98–104, 2019,


3. G. Panasenko, B. Vernescu, Non-Newtonian flows in domains with non-compact boundariesNonlinear Analysis 183, 214–229, 2019,


4. R. JuodagalvytėG. PanasenkoK. Pileckas, Time periodic Navier-Stokes equations in a thin tube structure, Bound Value Probl 202028, 2020) 


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,


6. K. KaulakytėK. PileckasNonhomogeneous 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, 


7. G. PanasenkoK. PileckasPeriodic in time flow in thin structure: equation on the graph, Journal of Mathematical Analysis and Applications 490:2, 2020, 


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,


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,


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,


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,


Additional publication:

G. Panasenko, R. Stavre, Viscous fluid-thin cylindrical elastic body interaction: asymptotic analysis on contrasting propertiesApplicable Analysis, 98:1-2, 162-216, 

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