- List of select publications
- Teaching duties
- Research areas
- Personal data
- List of select projects
- J.P. Milišić, D. Žubrinić. Maximally singular solutions of Laplace equations. ArXiv:1805.0258, accepted for publication in RMJ, https://rmmc.eas.asu.edu/rmj/rmj.html
- E. S. Daus, J.P. Milišić, N. Zamponi. Global existence of a two-phase flow model with cross-diffusion, DCDS-B, 25 (3) (2020), 957-979.
- E. S. Daus, J.P. Milišić, N. Zamponi. Analysis of a degenerate and singular volume-filling cross-diffusion system modeling biofilm growth, SIAM J. Math. Anal., 51 (4) (2019), 3569–3605.
- J.P. Milišić. The unsaturated flow in porous media with dynamic capillary pressure, Journal of differential equations, 264 (2018), 5629-5658.
- A. Juengel, J. P. Milišić. Entropy dissipative one-leg multistep time approximations of nonlinear diffusive equations, Numer. Meth. Part. Diff. Eqs. 31 (2015), 1119-1149.
- B. Amaziane, J. P. Milišić, M. Panfilov, L. Pankratov. Generalized nonequilibrium capillary relations for two-phase flow through heterogeneous media, Physical Review E 85 (2012), 18 pages.
- A. Juengel, J. P. Milišić. Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Kinetic Related Models 4 (3), (2011).
- A. Juengel, J. P. Milišić. A simplified quantum energy-transport model for semiconductors. Nonlinear Analysis Series B: Real World Applications 12 (2011), 1033-1046.
- J.P. Milišić, D. Žubrinić, V. Županović. Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schroedinger equation. EQJDE 60 (2010), 1-32.
- B. Duering, D. Matthes, J. P. Milišić. A gradient flow scheme for nonlinear fourth order equations. DCDS-B 14 (2010), 935-959.
- A.Juengel, J. P. Milišić. A sixth-order nonlinear parabolic equation for quantum systems. SIAM J. Math. Anal. 4 (2009), 1472-1490.
- A. Juengel, J. P. Milišić. Physical and numerical viscosity for quantum hydrodynamics. Commun. Math. Sci. 5 (2007), 447-471.
- A. Juengel, J.P. Milišić. Macroscopic quantum models with and without collisions. Bulletin Inst. Math. Academia Sinica 2 (2007), 251-279.
- A. Juengel, D. Matthes, J.P. Milišić. Derivation of new quantum hydrodynamic equations using entropy minimization. SIAM J. Appl. Math. 67 (2006), 46-68.
- A. Juengel, J. P. Milišić. Quantum Navier-Stokes equations. 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.
- Entropy methods for nonlinear diffusive PDEs with cross-diffusion structure
- Analysis of multi-component fluid models
- Multiphase flows in porous media
- 2003 -- 2007 Ph.D. in Applied Mathematics, University of Mainz, Germany. Ph.D. thesis: Quantum Hydrodynamic Models for Semiconductors with and without Collisions (Advisor: A. Juengel)
- 1999 -- 2003 Postgraduate study in Applied Mathematics, University of Zagreb, Croatia. M.Sc. thesis: Continuity of Weak Solutions of Quasilinear Elliptic Equations (Advisor: M. Pašić)
- 1992 -- 1998 Graduate study in Applied Mathematics, University of Zagreb, Croatia. Diploma thesis: Stability of Stationary Solutions for an Ideal Fluid (Advisor: I. Aganović)
- May 2019 -- today Associate Professor, UniZg-FER
- May 2014 -- Apr 2019 Associate Professor, UniZg-FER
- May 2009 -- Apr 2014 Assistant Professor, UniZg-FER
- Sep 2007 -- Apr 2009 Research and Teaching Assistant, UniZg-FER
- Sep 2003 -- Aug 2007 Research Associate, Department of Physics, Mathematics and Computer Science, JoGu-Mainz, Germany
- Mar 2002 -- Aug 2003 Research and Teaching Assistant, UniZg-FER
- Sep 2001 -- Feb 2002 UniZg-SRCE
- Jul 1999 -- Aug 2001 Teaching Assistant, Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Croatia
Postgraduate doctoral study programme
- Nonlinear Optimization (Lecturer in charge)
Partial differential equations Nonlinear systems Numerical analysis
Semiconductor device modeling Resonant tunneling devices
mr.sc. graduation year:
PhD graduation year:
Employed in this institution since:
List of select projects
- 2020 -- 2024 Research Associate. Multiscale problems in fluid mechanics. HRZZ (PI: I. Pažanin)
- 2018 -- 2020 Research Associate. Multi-species biofilm diffusion systems for wastewater treatment. MZOS and OEAD (bilateral project, PI: M.Bukal)
- 2016 -- 2018 Project Leader. Mathematical and Numerical Analysis of Cross-Diffusion Models in Biology. MZOS and OEAD
- 2014 -- 2018 Research Associate. Mathematical Modelling and Numerical Simulations of Processes in Thin or Porous Domains. HRZZ (PI: E. Marušić-Paloka)
- 2010 -- 2011 Research Associate. Modelisation mathematique et simulation numerique de la migration de Gaz dans le systeeme d'un stockage souterrain de dechets radioactifs. MoMaS, France
- 2010 -- 2011 Project Leader. Kinetic wealth distribution models and diffusive limit equations. MZOS and OEAD (bilateral project)
- 2008 -- 2009 Project Leader. Viscous approximations of quantum Euler-Poisson systems. MZOS and OEAD (bilateral project)
- 2007 -- 2009 Research Associate. Nonlinear analysis of differential equations and dynamical systems. MZOS (PI: M. Pašić)
- 2003 -- 2007 Research Associate. Mathematical analysis and numerical approximations of macroscopic models for semiconductors and plasmas. German Exchange Service DAAD (PI: A. Juengel)
- 2001 -- 2003 Research Associate. Nonlinear analysis of differential equations. MZOS (PI: M. Pašić)