Eduard Marusic-Paloka, professor

DEPARTMENT OF MATHEMATICS UNIVERSITY OF ZAGREB
  Education:
  • 1989 - Bd. in applied mathematics, University of Zagreb
  • 1992 - Md. University of Zagreb. Title of the thesis: Boundary layer effects in homogenization of Stokes Equations (in croatian), under the direction of Prof.I.Aganovic.
  • 1995 - Phd. Universite de St-Etienne. Title of the thesis : Modelisation par homogenisation des ecoulements en milieu poreux fissures, under the direction of Prof.A.Bourgeat (Universite de St-Etienne) and Prof.A.Mikelic (Universite Lyon 1)
SCIENTIFIC ACTIVITIES
 
Papers:
  1. I.Aganovic, E.Marusic-Paloka, Z.Tutek, Slightly Wrinkled Plate, Zeitscrift fur Angewandte Mathematik und Mechanik 75 (1995), 137-138
  2. A.Bourgeat, E.Marusic-Paloka, Loi d'ecoulement non lineaire entre deux plaques ondulees, Comptes Rendus de l'Academie des Sciences Paris, t.321, Serie I (1995), 1115-1120
  3. E.Marusic-Paloka, On the Mixed Boundary Value Problem for Laplace Equation in Thin Domain, Bollettino della Unione Matematica Italiana, (7),7-B (1994), 1-18
  4. I.Aganovic, E.Marusic-Paloka, Z.Tutek, Slightly Wrinkled Plate , Asymptotic Analysis, 13 (1996), 1-29.
  5. A.Bourgeat, E.Marusic-Paloka, A.Mikelic, Weak Non-Linear Corrections for Darcy's Law, Mathematical Models and Methods in Applied Sciences, (6) 8 (1996), 1-13
  6. E.Marusic-Paloka, A.Mikelic, An Error Estimate for Correctors in the Homogenization of the Stokes and Navier-Stokes Equations in a Porous Medium, Bollettino della Unione Matematica Italiana, (7) 10-A (1996), 661-671
  7. I.Aganovic, M.Jurak, E.Marusic-Paloka, Z.Tutek, A Model of Wrinkled Plate, Zeitscrift fur Angewandte Mathematik und Mechanik, 76 (1996), S2
  8. A.Bourgeat, E.Marusic-Paloka, A.Mikelic, Effective Fluid Flow in a Porous Medium Containing a Thin Fissure, Asymptotic Analysis, 11 (1995), 241-262
  9. I.Aganovic, M.Jurak, E.Marusic-Paloka, Z.Tutek, Moderately Wrinkled Plate, Asymptotic Analysis, 16(1998), 273-297.
  10. E.Marusic-Paloka, S.Marusic, Computation of the permeability tensor for the fluid flow through a periodic net of thin channels, Applicable Analysis, 64 (1997), 27-37.
  11. A.Bourgeat, E.Marusic-Paloka, Non-Linear Effects for Flow in Periodically Constricted Channel Caused by High Injection Rate, Mathematical Models and Methods in Applied Sciences, 9(8)(1998), 1-25.
  12. A.Bourgeat, S. Marusic, E.Marusic-Paloka, Ecoulement non newtonien a travers un filtre mince, Comptes Rendus de l'Academie des Sciences Paris, Serie I, t. 324 (1997), 945-950.
  13. E. Marusic-Paloka, Asymptotic Expansion for a Flow in a Periodic Porous Medium, Comptes Rendus de l'Academie des Sciences Paris, Serie II b, t 325 (1997), 369-374.
  14. I.Aganovic, M.Jurak, E.Marusic-Paloka, Z.Tutek, Moderately Wrinkled Plate, Asymptotic Analysis, 16(1998), 273-297.
  15. A.Bourgeat, E.Marusic-Paloka, Non-Linear Effects for Flow in Periodically Constricted Channel Caused by High Injection Rate, Mathematical Models and Methods in Applied Sciences, 9(8)(1998), 1-25.
  16. Bourgeat A., Marusic-Paloka E., Mathematical modelling of a non-Newtonian viscous flow through a thin filter, Comptes Rendus de l'Academie des Sciences Paris, Serie I, t 327 (1998), 607-612.
  17. E.Marusic-Paloka, S.Marusic, Decay of a fluid flow in a weakly permeable domain, Zeitscrift f\"{u}r Angewandte Mathematik und Mechanik, 79 (1999) 6, 427-432.
  18. E.Marusic-Paloka, Two methods for replacing Dirichlet's boundary condition by Robin's condition via penalization, Mathematical Communications, 4(1999), 27-33.
  19. Marusic-Paloka E., Solvability of the Navier-Stokes system with $L^2$ boundary data, Applied Mathematics and Optimization, Vol 41, No 3 (2000), 365-375.
  20. E.Marusic-Paloka, A.Mikelic, The derivation of a nonlinear filtration law including the inertia effects via homogenization, Nonlinear Analysis, Theory Methods and Applications, Vol 42, No 1 (2000), 97-137.
  21. Marusic S., Marusic-Paloka E., Two-scale convergence for thin domains and some applications to lower-dimensional models in fluid mechanics, Asymptotic Analysis, Vol 23, No 1 (2000), 23-58.
  22. A.Duvnjak, E.Marusic-Paloka, Correctors for Reynolds equation describing the process of lubrication of a rotating shaft, Proceedings of STAMM 98 (Symposium on Trends in Applications of Mathematics in Mechanics), Nica, 1998, Chapman and Hall Monographs and Surveys in Pure and Applied Mathematics, 106, Chapman and Hall, 2000, 272-281.
  23. Marusic-Paloka E., Non-Newtonian flow through unbounded channels and pipes, Mathematical Models and Methods in Applied Sciences M3AS, Vol 10, No 9 (2000), 1425-1445.
  24. Duvnjak A., Marusic-Paloka E., Derivation of the Reynolds equation for lubrication of the rotating shaft, Archivum Mathematicum (Brno), t 36, No 4 (2000), 239-253.
  25. Marusic-Paloka E., On the Stokes paradox for power-law fluids, Zeitscrift fur Angewandte Mathematik und Mechanik, 81 (2001), 31-36.
  26. Marusic-Paloka E., Fluid flow through a network of thin pipes, Comptes Rendus de l'Academie des Sciences Paris, S\'{e}rie II b, t 329 (2001),103-108.
  27. Marusic-Paloka E., Averaging the Navier's law on rapidly oscillating boundary, Journal of Mathematical Analysis and Applications 259 (2001), 685-701.
  28. S.Marusic, E.Marusic-Paloka, Reduction of dimension for parabolic equations via two-scale convergence, Proceedings of ApplMat 99, Dubrovnik, 1999, Department of Mathematics, University of Zagreb, 2001., 155-164.
  29. Marusic-Paloka E., The effects of flexion and torsion on a fluid flow through a curved pipe, Applied Mathematics & Optimization, 44 (2001), 254-272.
  30. Bourgeat A., Gipouloux O., Marusic-Paloka E.,Mathematical modelling and numerical simulation of a non-newtonian viscous flow through a thin filter, SIAM Journal on Applied Mathematics, Vol 62, No 2 (2002), 597-626.
  31. Bourgeat A., Gipouloux O., Marusic-Paloka E., Mathematical modeling of an array of nuclear waste containers, Comptes Rendus de l'Academie des Sciences Paris, Mecanique, 330 (2002), 371-376.
  32. Gipouloux O., Marusic-Paloka E., Asymptotic Behaviour of the Incompressible Newtonian Flow Through Thin Constricted Fracture, proceedings of "Multiscale problems in science and technology", Dubrovnik, 2000., Springer.
  33. Marusic-Paloka E., Incompressible newtonian flow through thin pipes, to appear in proceedings of "Applied Mathematics and Computation", Dubrovnik 2001., Birkha\"{u}ser
  34. Marusic-Paloka E., A note on slip condition on corrugated boundary, to appear in proceedings of "Applied Mathematics and Computation", Dubrovnik 2001., Birkhauser
  35. Marusic-Paloka E., Analysis of nonlinear evolutional Reynolds model for air lubrication of magnetic hard disc via elliptic regularization, Nonlinear Analysis: Series B Real World Applications, 4 (2003), 325-333
  36. Bourgeat A., Gipouloux O., Marusic-Paloka E., Filtration law for polymer flow through porous media, Multi-Scale Modeling and Simulation - SIAM, Vol 1, No 3 (2003), 432-457.
  37. Bourgeat A., Gipouloux O.,Marusic-Paloka E., Modeling of an underground waste disposal site by upscaling, Mathematical Models in Applied Sciences, 27 (2004), 381-403.
  38. Marusic-Paloka E., Existence and regularity of purely viscous polymer flow, Applicable Analysis, 81, 4 (2002), 939-950
  39. Bourgeat A., Marusic-Paloka E., A homogenized model of an underground waste repository including a disturbed zone, Multi-Scale Modeling and Simulation - SIAM, Vol 3, No 4 (2005), 918-939.
  40. E. Marusic-Paloka, A. Piatnitski, Homogenization of nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection, Journal of the London mathematical society, Vol 72, No 2 (2005), 391-409.
  41. E. Marusic-Paloka, M.Starcevic, Rigorous justification of the Reynolds equation for gas lubrication, Comptes Rendus Mecanique, Paris, 333 (2005), 534-541.
  42. E. Marusic-Paloka, I.Pazanin, Effective flow of a viscous liquid through a helical pipe, Comptes Rendus Mecanique, Paris, 332 (2004), 973-978.
  43. E. Marusic-Paloka, I.Pazanin, Mathematical modelling of the fluid flow through helical pipe, to appear in ZAMP Zeitschrift fur Angewandte Mathematik und Physik
  44. Marusic-Paloka E., Rigorous justification of the Kirchhoff law for junction of thin pipes filled with viscous fluid, 33(1) (2003), 51-66. Asymptotic Analysis
 
E-mail: emarusic@cromath.math.hr