Josipa Pina Milisic

Assistant Professor

E-mail : pina.milisicATfer.hr
Office : D 180
Phone : +385 1 6129939
Fax : +385 1 6129946

Research Associate

E-mail : pina.milisicATuniv-pau.fr
Office : 211
Fax : +33 1 6129946

Research interests

• Quantum macroscopic models for semiconductors
  (drift-diffusion, hydrodynamic, energy-transport models)
• Nonlinear PDEs of higher order
• Multiphase flow through porous media
• Mathematical homogenization and upscaling

Education

• 2007 Ph.D. University Johannes Gutenberg, Mainz, Germany
• 2003 M.Sc. University of Zagreb, Croatia
• 1998 Diploma, Graduate Study of Applied Mathematics, University of Zagreb, Croatia

Extended Curriculum Vitae

Preprints

• Generalized nonequilibrium capillary relations for two-phase flow through heterogeneous media (with B. Amaziane, M. Panfilov and L. Pankratov)
  Physical Review E, 2012.

• Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. (with A.Juengel)
  Kinetic Related Models 4 (3), (2011).

• Quantum Navier-Stokes equations. (with A.Juengel)
  Progress in Industrial Mathematics at ECMI 2010, Mathematics in Industry, Vol. 17 Guenther, M.; Bartel, A.; Brunk, M.; Schoeps, S.; Striebel, M. (Eds.), Januar 2012.

• A simplified quantum energy-transport model for semiconductors. (with A.Juengel)
  Nonlin. Anal.: Real-World Appl., 12 (2011), 1033-1046.

• Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schroedinger-Cauchy problems. (with D. Zubrinic and V. Zupanovic)
  EQJDE 60 (2010), 1-32.

• A gradient flow scheme for nonlinear fourth order equations. (with B. Duering, D. Matthes)
  Discrete Contin. Dyn. Syst. Ser. B 14(3) (2010), 935-959.

• A sixth-order nonlinear parabolic equation for quantum systems. (with A. Juengel)
  SIAM J. Math. Anal. 41 (2009), 1472-1490.

• Derivation of new quantum hydrodynamic equations using entropy minimization. (with D. Matthes, A. Juengel)
  SIAM J. Appl. Math. 67 (2006), 46-68.

• Physical and numerical viscosity for quantum hydrodynamics. (with A. Juengel)
  Commun. Math. Sci. 5 (2007), 447-471.

• Macroscopic quantum models with and without collisions. (with A. Juengel)
  Bulletin Inst. Math., Academia Sinica 2 (2007), 251-279