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    O djelatniku


    prof. dr. sc. Josipa Pina Milišić

    Redoviti profesor, Zavod za primijenjenu matematiku

    Konzultacije:

     zimski semestar ak.god. 2024./2025., srijeda 12:00 

    Lokacija:
    D-180
    Telefon:
    +385 1 6129 939
    Telefon kućni:
    E-mail:
    E-mail

    Preprinti

    1. 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

    2. E. S. Daus, J.P. Milišić, N. Zamponi. Nonisothermal Richards flow in porous media with cross diffusion. https://arxiv.org/abs/2102.00455

    Objavljeni radovi

    1. 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.
    2. 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.
    3. J.P. Milišić. The unsaturated flow in porous media with dynamic capillary pressure, Journal of differential equations, 264 (2018), 5629-5658.
    4.  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.
    5. 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.
    6. A. Juengel, J. P. Milišić. Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Kinetic Related Models 4 (3), (2011).
    7. A. Juengel, J. P. Milišić. A simplified quantum energy-transport model for semiconductors. Nonlinear Analysis Series B: Real World Applications 12 (2011), 1033-1046.
    8. 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.
    9. B. Duering, D. Matthes, J. P. Milišić. A gradient flow scheme for nonlinear fourth order equations. DCDS-B 14  (2010), 935-959.
    10. A.Juengel, J. P. Milišić. A sixth-order nonlinear parabolic equation for quantum systems. SIAM J. Math. Anal. 4 (2009), 1472-1490.
    11. A. Juengel, J. P. Milišić.  Physical and numerical viscosity for quantum hydrodynamics.  Commun. Math. Sci. 5 (2007), 447-471.
    12. A. Juengel, J.P. Milišić.  Macroscopic quantum models with and without collisions. Proceedings of the Sixth International Workshop on Mathematical Aspects of Fluid and Plasma Dynamics, Kyoto, Japan. Bulletin Inst. Math. Academia Sinica 2 (2007), 251-279.
    13.  A. Juengel, D. Matthes, J.P. Milišić.  Derivation of new quantum hydrodynamic equations using entropy minimization. SIAM J. Appl. Math. 67 (2006), 46-68.

    Zbornici radova

    1. 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.

    Nastava

    Sveučilišni preddiplomski

    Sveučilišni diplomski

    Poslijediplomski doktorski

    Kompetencije

    • Mathematics
      Machine learning algorithms Partial differential equations Finite difference methods Finite element analysis Functional analysis Gradient methods Mathematical model Nonlinear systems Convergence of numerical methods
    • Computers and information processing
      Mathematics computing Scientific computing
    • Electron devices
      Semiconductor device modeling Resonant tunneling devices

    Profesionalni interesi i članstva

    • Hrvatsko matematičko društvo (HMD)
    • IEEE hrvatska sekcija

    Osobni podaci

    Godina diplomiranja:
    1998.
    Godina magistriranja:
    2003.
    Godina doktoriranja:
    2007.
    Na zavodu od:
    2002.

    Izabrani projekti

    • 𝟤𝟢𝟤𝟩 𝖡𝖨𝖱𝖲-𝖨𝖬𝖠𝖦 𝖺𝖼𝖼𝖾𝗉𝗍𝖾𝖽 𝗉𝗋𝗈𝗉𝗈𝗌𝖺𝗅 
    “𝖲𝗍𝗋𝗎𝖼𝗍𝗎𝗋𝖾, 𝗌𝗂𝗇𝗀𝗎𝗅𝖺𝗋𝗂𝗍𝗒 𝖺𝗇𝖽 𝖼𝗈𝗆𝗉𝗅𝖾𝗑𝗂𝗍𝗒 𝗂𝗇 𝗇𝗈𝗇𝗅𝗂𝗇𝖾𝖺𝗋 𝗉𝖺𝗋𝗍𝗂𝖺𝗅 𝖽𝗂𝖿𝖿𝖾𝗋𝖾𝗇𝗍𝗂𝖺𝗅 𝖾𝗊𝗎𝖺𝗍𝗂𝗈𝗇𝗌”, 𝖴𝗇𝗂𝗏𝖾𝗋𝗌𝗂𝗍𝗒 𝗈𝖿 𝖦𝗋𝖺𝗇𝖺𝖽𝖺.
    • 𝟤𝟢𝟤𝟧 - 𝟤𝟢𝟤𝟪 𝖣𝖾𝗏𝖾𝗅𝗈𝗉𝗆𝖾𝗇𝗍 𝖺𝗇𝖽 𝖢𝗁𝖺𝗋𝖺𝖼𝗍𝖾𝗋𝗂𝗓𝖺𝗍𝗂𝗈𝗇 𝗈𝖿 𝖶𝗂𝖽𝖾𝖻𝖺𝗇𝖽 𝖨𝗇𝖽𝗎𝖼𝗍𝗂𝗏𝖾 𝖲𝖾𝗇𝗌𝗈𝗋𝗌 𝖿𝗈𝗋 
    𝖭𝖾𝖺𝗋 𝖬𝖺𝗀𝗇𝖾𝗍𝗂𝖼 𝖥𝗂𝖾𝗅𝖽 (𝖲̌𝖨𝖮𝖬𝖠𝖦), 𝖧𝖱𝖹𝖹 𝖨𝖯-𝟤𝟢𝟤𝟧-𝟢𝟤-𝟧𝟢𝟢𝟦 (𝖯𝖨: 𝖬. 𝖣𝖺𝖽𝗂𝖼́)
    • 𝟤𝟢𝟤𝟧 - 𝟤𝟢𝟤𝟩 𝖧𝖾𝖺𝗍 𝖼𝗈𝗇𝖽𝗎𝖼𝗍𝗂𝗏𝖾 𝗆𝗎𝗅𝗍𝗂𝖼𝗈𝗆𝗉𝗈𝗇𝖾𝗇𝗍, 𝗆𝗎𝗅𝗍𝗂𝗉𝗁𝖺𝗌𝖾 𝖿𝗅𝗈𝗐 (𝖬𝗎𝗅𝗍𝗂𝖧𝖾𝖥𝗅𝗈). 
    𝖬𝗎𝗅𝗍𝗂𝗅𝖺𝗍𝖾𝗋𝖺𝗅 𝗌𝖼𝗂𝖾𝗇𝗍𝗂𝖿𝗂𝖼 𝖺𝗇𝖽 𝗍𝖾𝖼𝗁𝗇𝗈𝗅𝗈𝗀𝗂𝖼𝖺𝗅 𝖼𝗈𝗈𝗉𝖾𝗋𝖺𝗍𝗂𝗈𝗇 𝗂𝗇 𝗍𝗁𝖾 𝖣𝖺𝗇𝗎𝖻𝖾 𝗋𝖾𝗀𝗂𝗈𝗇, 𝖬𝖹𝖮𝖬 (𝖯𝖨: 𝖨. 𝖯𝖺𝗓̌𝖺𝗇𝗂𝗇)
    • 𝟤𝟢𝟤𝟢 -- 𝟤𝟢𝟤𝟦 𝖱𝖾𝗌𝖾𝖺𝗋𝖼𝗁 𝖠𝗌𝗌𝗈𝖼𝗂𝖺𝗍𝖾. 𝖬𝗎𝗅𝗍𝗂𝗌𝖼𝖺𝗅𝖾 𝗉𝗋𝗈𝖻𝗅𝖾𝗆𝗌 𝗂𝗇 𝖿𝗅𝗎𝗂𝖽 𝗆𝖾𝖼𝗁𝖺𝗇𝗂𝖼𝗌. 𝖧𝖱𝖹𝖹 (𝖯𝖨: 𝖨. 𝖯𝖺𝗓̌𝖺𝗇𝗂𝗇)
    • 𝟤𝟢𝟤𝟢 - 𝟤𝟢𝟤𝟦 𝖱𝖾𝗌𝖾𝖺𝗋𝖼𝗁 𝖠𝗌𝗌𝗈𝖼𝗂𝖺𝗍𝖾 𝖳𝗁𝖾 𝖢𝖠𝖫𝖨𝖯𝖤𝖱 𝗉𝗋𝗈𝗃𝖾𝖼𝗍: 𝖫𝗂𝗇𝗄𝗂𝗇𝗀 𝗋𝖾𝗌𝖾𝖺𝗋𝖼𝗁 𝖺𝗇𝖽 𝗂𝗇𝗇𝗈𝗏𝖺𝗍𝗂𝗈𝗇 𝖿𝗈𝗋 𝗀𝖾𝗇𝖽𝖾𝗋 𝖾𝗊𝗎𝖺𝗅𝗂𝗍𝗒, 𝖧𝟤𝟢𝟤𝟢, (𝖨𝗇𝗌𝗍𝗂𝗍𝗎𝗍𝗂𝗈𝗇𝖺𝗅 𝖯𝖨: 𝖠, 𝖭𝖺𝗄𝗂𝖼́)
    • 𝟤𝟢𝟤𝟢 - 𝟤𝟢𝟤𝟤 𝖱𝖾𝗌𝖾𝖺𝗋𝖼𝗁 𝖠𝗌𝗌𝗈𝖼𝗂𝖺𝗍𝖾 𝖲𝗍𝗋𝗎𝖼𝗍𝗎𝗋𝖾-𝖯𝗋𝖾𝗌𝖾𝗋𝗏𝗂𝗇𝗀 𝖭𝗎𝗆𝖾𝗋𝗂𝖼𝖺𝗅 𝖬𝖾𝗍𝗁𝗈𝖽𝗌 𝖿𝗈𝗋 𝖬𝗎𝗅𝗍𝗂𝖼𝗈𝗆𝗉𝗈𝗇𝖾𝗇𝗍 𝖲𝗒𝗌𝗍𝖾𝗆𝗌 𝗂𝗇 𝖡𝗂𝗈𝗅𝗈𝗀𝗒 𝖺𝗇𝖽 𝖯𝗁𝗒𝗌𝗂𝖼𝗌, 𝖬𝖹𝖮𝖲 𝖺𝗇𝖽 𝖮𝖤𝖠𝖣, (𝖯𝖨: 𝖣. 𝖡𝗈𝗃𝖺𝗇𝗃𝖺𝖼)
    • 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)