Mathematical modeling and numerical simulations of processes in thin or porous domains

Publications

Link to Croatian Science Foundation Bibliography.

2014

• Eduard Marušić-Paloka: An analysis of the Stokes system with pressure dependent viscosity, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 46 (2014), pp.123-136.
• I.Pažanin, F.J.Suarez-Grau: Analysis of the thin film flow in a rough domain filled with micropolar fluid, Computers & Mathematics with Applications 68 (2014) 1915-1932.
• I.Pažanin: On the helical-pipe flow with a pressure-dependent viscosity, Theoretical & Applied Mechanics Letters 4, 062006 (2014).
• I.Pažanin: Asymptotic analysis of the lubrication problem with nonstandard boundary conditions for the microrotation, to appear in FILOMAT (15 pp).

2015

• E.Marušić-Paloka, M.Starčević: High-order approximations for an incompressible viscous flow on a rough boundary, Applicable analysis, 94 (2015) 7, 1305-1333.
• E. Ahusborde, B. Amaziane, M. Jurak: Three-dimensional numerical simulation by upscaling of gas migration through engineered and geological barriers for a deep repository for radioactive waste , Geological Society, London, Special Publications, 415, 2015, 123-141.
• Marušić-Paloka, Eduard; Pažanin, Igor. A note on the Kirchhoff's junction rule for power-law fluids. Zeitschrift für Naturforschung. A, A journal of physical sciences. 70 (2015) , 9; 695-702.
• Beneš, Michal; Pažanin, Igor; Suarez-Grau, Francisco Javier. Heat flow through a thin cooled pipe filled with a micropolar fluid. Journal of theoretical and applied mechanics. 53 (2015) , 3; 569-579.
• A. Juengel, J. P. Milišić: Entropy dissipative one-leg multistep time approximations of nonlinear diffusive equations, Numerical Methods for Partial Differential Equations, 31, 4 (2015) 1119-1149.

2016

• Beneš, Michal; Pažanin, Igor. Effective flow of incompressible micropolar fluid through a system of thin pipes. Acta applicandae mathematicae. 143 (2016) , 1; 29-43.
• Ćurković, Andrijana; Marušić-Paloka, Eduard. Existence and uniqueness of solution for fluid-plate interaction problem. Applicable analysis. 95 (2016) , 4; 715-730.
• Jurak, Mladen; Pankratov, Leonid; Vrbaški, Anja. A fully homogenized model for incompressible two-phase flow in double porosity media. Applicable analysis. 95 (2016) , 10; 2280-2299.
• Marušić-Paloka, Eduard; Pažanin, Igor; Radulović, Marko. Flow of a micropolar fluid through a channel with small boundary perturbation. Zeitschrift für Naturforschung. A, A journal of physical sciences. 71 (2016) , 7; 607-619.
• Pažanin, Igor; Pereira, Marcone, Suarez-Grau, Francisco Javier. Asymptotic approach to the generalized Brinkman's equation with pressure-dependent viscosity and drag coefficient. Journal of Applied Fluid Mechanics. 9 (2016) , 6; 3101-3107.
• Marušić-Paloka, Eduard. Effects of small boundary perturbation on flow of viscous fluid. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. (2016) (prihvaćen za objavljivanje).
• Marušić-Paloka, Eduard; Pažanin, Igor. Asymptotic analysis of the fluid flow with a pressure-dependent viscosity in a system of thin pipes. Computational and Applied Mathematics. (2016) (prihvaćen za objavljivanje).
• Fratrović, Tomislav; Marušić-Paloka, Eduard. Boundary perturbation for the Dirichlet boundary value problem. Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti. 20 (2016) , 528; 109-123.

2017

• Beneš, Michal; Pažanin, Igor. Homogenization of degenerate coupled fluid flows and heat transport through porous media. Journal of mathematical analysis and applications. 446 (2017) , 1; 165-192.
• Beneš, Michal; Pažanin, Igor. On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes. Nonlinear analysis : theory, methods and applications. (2017) (prihvaćen za objavljivanje).