Publications

Preprints

  1. K. Burazin; M. Erceg; M. Waurick. G-convergence of Friedrichs systems revisited. (2023)
  2. M. Erceg; D. Mitrović. Degenerate parabolic equations - compactness and regularity of solutions. (2023)
  3. A. Vrbaški. Homogenization result for two-phase two-component flow in porous medium. (2021)
  4. A. Vrbaški; A. Žgaljić Keko. An existence result for two-phase two-component flow in porous medium by the concept of the global pressure. (2020)
  5. A. Vrbaški. Mathematical analysis of Barenblatt’s model of non-equilibrium two-phase flow in porous media. (2019)

Journal papers

  1. M. Jurak; L. Pankratov; A. Vrbaški. Some remarks on simplified double porosity model of immiscible incompressible two-phase flow. Accepted for publication in Asymptotic Analysis (2023), 14 pages.
  2. M. Erceg; M. Mišur; D. Mitrović. Velocity averaging for diffusive transport equations with discontinuous flux. Journal of the London Mathematical Society (2022),  https://doi.org/10.1112/jlms.12694.
  3. M. Bukal; B. Muha. Justification of a nonlinear sixth-order thin-film equation as the reduced model for a fluid-structure interaction problem. Nonlinearity 35 (2022), 4695-4726.
  4. M. Erceg; D. Mitrović. Strong traces to degenerate parabolic equations. SIAM J. Math. Analysis 54 (2022), 1775-1796.
  5. M. Bukal. The concavity of generalized entropy powers. IEEE Transactions on Information Theory 68 (2022), 7054 - 7059, 10.1109/TIT.2022.3181379. (arXiv)
  6. M. Bukal. Well-posedness and convergence of a numerical scheme for the corrected Derrida-Lebowitz-Speer-Spohn equation using the Hellinger distance. Discr. Cont. Dyn. Sys. 41 (2021), 3389-3414. (arXiv)
  7. M. Bukal; B. Muha. Rigorous Derivation of a Linear Sixth-Order Thin-Film Equation as a Reduced Model for Thin Fluid-Thin Structure Interaction Problems. Appl. Math. Optim. 84 (2021), 2245-2288. (arXiv)

Book chapters

  1. M. Bukal; B. Muha. A Review on Rigorous Derivation of Reduced Models for Fluid–Structure Interaction Systems. In: Bodnár T., Galdi G.P., Nečasová Š. (eds) Waves in Flows. Advances in Mathematical Fluid Mechanics. Birkhäuser, Cham. 2021, pages 171 - 199. (arXiv)

Conference proceedings

  1. M. Jurak; L. Pankratov; A. Vrbaški. Discretization schemes for the two simplified global double
    porosity models of immiscible incompressible two-phase flow    . (2023), submitted.

 

Selected background publications

  1. Antonić, Nenad; Erceg, Marko; Lazar, Martin. Localisation principle for one-scale H-measures. // Journal of functional analysis. 272 (2017) , 8; 3410-3454.
  2. Bukal, Mario. A family of fourth-order q-logarithmic equations. // Journal of mathematical analysis and applications. 438 (2016) , 1; 142-161.
  3. 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
  4. Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar. Entropy stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. // Numerische Mathematik. 127 (2014) , 2; 365-396.