Publications

PREPRINTS

  1. P. Hornung, M. Pawelczyk, I. Velčić. Stochastic homogenization of the bending plate model. Submitted. (preprint version)
  2. P. Hornung, I. Velčić. Regularity of intrinsically convex $H^2$ surfaces and the derivation of homogenized bending shell models. submitted. (preprint version)

 

SCIENTIFIC JOURNALS

  1. M. Bukal, I. Velčić. On the simultaneous homogenization and dimension reduction in elasticity and 
    locality of Gamma-closure. Calc. Var. Partial Differential Equations 56 (2017), 1-41. doi: 10.1007/s00526-017-1167-z (preprint version)
  2. M. Bukal, M. Pawelczyk, I. Velčić. Derivation of homogenized Euler-Lagrange equations for von Kármán rods. Journal of Differential Equations 262 (2017), 5565-5605. doi: 10.1016/j.jde.2017.02.009 (preprint)
  3. M. Bukač, B. Muha. Stability and convergence analysis of the kinematically coupled scheme and its extensions for the fluid-structure interaction. SIAM Journal on Numerical Analysis 54 (2016), 3032-3061. doi:10.1137/16M1055396 (preprint version)
  4. B. Muha, S. Čanić. Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition. Journal of Differential Equations 260 (2016), 8550-8589. doi: 10.1016/j.jde.2016.02.029 (preprint)
  5. M. Bukač, S. Čanić, B. Muha. A nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stents. Applied Mathematics & Optimization 73 (2016), 433-473. doi: 10.1007/s00245-016-9343-7 (preprint)
  6. M. Bukal. A family of fourth-order q-logarithmic equations. Journal of Mathematical Analysis and Applications 438 (2016), 142-161. doi:10.1016/j.jmaa.2016.02.002 (preprint)
  7. M. Marohnić, D. Mitrović, A. Novak. On a front evolution in porous media with a source - analysis and numerics. Bulletin of the Brazilian Mathematical Society 47 (2016), 521-532. doi: 10.1007/s00574-016-0166-6 (preprint version)
  8. I. Velčić. On the general homogenization of von Kármán plate equations from 3D nonlinear elasticity. Analysis and Applications 15 (2017), 1-49. doi: 10.1142/S0219530515500244 (preprint version)
  9. M. Marohnić, I. Velčić. Homogenization of bending theory for plates: the case of oscillations in the direction of thickness. Comm. on Pure and Applied Analysis 14 (2015), 2151-2168. (preprint)
  10. B. Muha, S. Čanić. Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy. Interfaces and Free Boundaries 17 (2015), 465-495, doi: 10.4171/IFB/350 (preprint).
  11. S. Mabuza, S. Canic, B. Muha. Modeling and analysis of reactive solute transport in deformable channels with wall adsorption-desorption. Mathematical Methods in the Applied Sciences 39 (2016), 1780-1802. doi: 10.1002/mma.3601 (preprint version)
  12. M. Marohnić, I. Velčić. Non-periodic homogenization of bending-torsion theory for inextensible rods from 3D elasticity. Annali di Matematica Pura ed Applicata 195 (2016), 1055-1079. doi: 10.1007/s10231-015-0504-0 (preprint version)
  13. M. Marohnić, J. Tambača. On a model of a flexural prestressed shell. Mathematical Methods in the Applied Sciences 38 (2015), 5231-5241. doi:10.1002/mma.3451
  14. B. Muha. A note on optimal regularity and regularizing effects of point mass coupling for a heat-wave system. J. Math. Anal. Appl. 425 (2015), 1134–1147, doi:10.1016/j.jmaa.2015.01.018.

 

CONFERENCE PROCEEDINGS