doc. RNDr. Jana Kopfová, Ph.D.

Email: jana.kopfova@math.slu.cz

Position:

Associate Professor

Curriculum vitae:

  • Undergraduate study at the Comenius University, Bratislava, Department of Mathematical Analysis (1985–1990).
  • Diploma Thesis: "Solution of non-linear diffusion problems using linear approximations" (in Slovak, Bratislava, 1990).
  • Graduate study at the University of Alberta, Edmonton, Department of Mathematical Sciences (1993–1998).
  • Ph.D. Thesis: "Differential Equations involving Hysteresis" (Edmonton, 1998).
  • Sessional instructor at the University of Alberta, Edmonton, Department of Mathematical Sciences (1998–1999).
  • Mathematical Institute of the Silesian University in Opava (since 1999).
  • Research: Functional methods in non-linear partial differential equations.

Publikační činnost

List of publications

  • J. Kopfová, Solution of Nonlinear Diffusion Problems by Linear Approximations, Proceedings of the International Students' Conference, Prague (1989).
  • J. Kopfová, Semigroup Approach to the Question of Stability for a Partial Differential Equation with Hysteresis, J. of Math. Anal. and Appl., 223 272–287, (1998). Full text
  • Jana Kopfová, Uniqueness Theorem for a Cauchy problem with Hysteresis, Proc. AMS, 127 (12), 3527–3532, (1999). Full-text in PDF
  • J. Kopfová and T. Kopf, Differential equations, hysteresis, and time delay. Z. Angew. Math. Phys. 53, no. 4, 676–691, (2002). Full-text in PDF
  • J. Kopfová, Periodic solutions and asymptotic behaviour of a PDE with hysteresis in the source term, Rocky Mountain J. Math. 36, no. 2, 539–554, (2006). Full-text in PDF
  • J. Kopfová, Entropy condition for a quasilinear hyperbolic equation with hysteresis, Differential and Integral Equations 18, 451–467, (2005). Full-text in PDF
  • J. Kopfová, Hysteresis in a first order hyperbolic equation, Dissipative phase transitions, Ser. Adv. Math. Appl. Sci., 71, World Sci. Publ., Hackensack, NJ, 141–150, (2006).
  • J. Kopfová, Hysteresis in biological models, Proceedings of the conference "International Workshop on Multi-rate processess and hysteresis", Journal of Physics, Conference Series, 130–134, (2007). Full-text in PDF
  • J. Kopfová, A convergence result for spatially inhomogeneous Preisach operators, ZAMP, Vol. 57, 1–7, (2006). Full-text in PDF
  • J. Kopfová, A homogenization result for a parabolic equation with Preisach hysteresis, ZAMM 87, Issue 5, pp. 352–359, (2007). Full-text in PDF
  • M. Eleuteri, J. Kopfová, P. Krejčí, On a model with hysteresis arising in magnetohydrodynamics, Physica B 403, pp 448–450, (2008). Full-text in PDF
  • J. Kopfová, Nonlinear Semigroup methods in problems with hysteresis, Proceedings of the 6th AIMS International Conference (Poitiers, France), DCDS Supplement 2007, 580–589. Full-text in PDF
  • J. Kopfová, T. Aiki, A mathematical model for bacterial growth, Recent Advances in Nonlinear Analysis, the proceedings of the international conference on nonlinear analysis, World Scientific, 2008, pp. 1–10.
  • M. Eleuteri, J. Kopfová, On a parabolic equation with hysteresis and convection: a uniqueness result, Journal of Physics: Conference series 138, (2008), International Workshop on Multi-Rate Processes and Hysteresis. Full-text in PDF
  • M. Eleuteri, J. Kopfová, P. Krejčí, Magnetohydrodynamic flow with hysteresis, SIAM J. MATH. ANAL. (2009) Society for Industrial and Applied Mathematics, Vol. 41, No. 2, 435-464, (2009). Full-text in PDF
  • J. Kopfová, M. Eleuteri, Uniqueness and decay estimates for a class of parabolic partial differential equations with hysteresis and convection, Nonlinear Analysis 73, 48–65, (2010).
  • J. Kopfová, P. Krejčí, A Preisach type model for temperature driven hysteresis memory erasure in shape memory materials, Continuum Mechanics and Thermodynamics, Volume 23, Number 2, 125–137, 2011.
  • J. Kopfová, A uniqueness result for a first order nonhomogeneous hyperbolic equation with hysteresis, RATE-INDEPENDENT EVOLUTIONS AND MATERIAL MODELING, (Special Section of EQUADIFF 2007) Eds.: T. Roubicek, U. Stefanelli. Pubblicazione IMATI-CNR, 29PV10/27/0, Pavia, 2010, pp.11–16, ISSN 1772-8964
  • M. Eleuteri, J. Kopfová, P. Krejčí: A thermodynamic model for material fatigue under cyclic loading, Physica B: Physics of condensed matter 407 (2012), pp. 1415–1416.
  • M. Eleuteri, J. Kopfová and P. Krejčí, Fatigue accumulation in rotating plate, Discrete Cont. Dynam. Syst. – Ser. S., Volume 6, Number 4, August 2013, 909–923, ISSN 1937–1632. Full text in PDF
  • M. Eleuteri, J. Kopfová, P. Krejčí, Non-isothermal cyclic fatigue in an oscillating elastoplastic beam, Communication in Pure and Applied Analysis, Volume 12, Number 6, November 2013. Full text in PDF
  • J.Kopfová, P. Sander, Non-isothermal cyclic fatigue model in an oscillating elastoplastic beam with phase transition, Physica B: Condensed Matter (2014), 31–33. Full text in PDF
  • Stefano Bosia, Michela Eleuteri, Jana Kopfová, Pavel Krejčí: Phase transitions and hysteresis: new perspectives and results, Physica B: Condensed Matter (2014), 1–3. Full text in PDF
  • M. Eleuteri, J. Kopfová, P. Krejčí: Fatigue accumulation in a thermo-visco-elastoplastic plate, Discrete and Continuous Dynamical Systems – Series B, 19 No. 7, (2014), 2091–2109. Full text in PDF
  • M. Eleuteri, J. Kopfová, P. Krejčí: “A new phase field model for material fatigue in an oscillating elastoplastic”, Discrete and Continuous Dynamical Systems – A, Volume 35, Issue 6, June 2015, 2465–2495.
  • J. Kopfová : “Thermodynamic consistency: A mystery or?”, Discrete and Continuous Dynamical Systems - Series S (DCDS-S), Volume 8, Issue 4, August 2015 , 757–767.
  • M. Eleuteri, J. Kopfová, P. Krejčí: “A new phase field model for material fatigue in an oscillating elastoplastic”, Discrete and Continuous Dynamical Systems – A, Volume 35, Issue 6, June 2015, 2465–2495.
  • K. Hasík, J. Kopfová, P. Nábělková, S. Trofimchuk, Travelling waves in the nonlocal KPP-Fischer equation: An interplay between the past and the future, J. Dif. Equ. 260 (2016), 6130–6175. ISSN 0022-0396 (USA).
  • J. Kopfová and V. Recupero, BV-norm continuity of sweeping processes driven by a set with constant shape, J. Dif. Equ 261 (2016), 5875–5899. ISSN 0022-0396 (NL).
  • M. Eleuteri, J. Kopfová, Elasto-plastic contact problems with heat exchange and fatigue., Journal of Mathematical Analysis and Applications, 459 (2018) 82–111.
  • M. Eleuteri, J. Kopfová, On a new model for fatigue and phase transition in an oscillating elastoplastic plate, J. Differential Equations 265 (2018), no. 5, 1839–1874.

Other publications

  • J. Kopfová, M. C. Escher, zborník Letnej školy z teórie vyučovania matematiky, (2006). Full-text in PDF
  • Jana Kopfová, Ivan Masaryk: Počítanie do 11111 alebo… Ľudia sa delia na 10 skupín, na tých, ktorí poznajú dvojkovú sústavu a na tých, ktorí ju nepoznajú… Zborník príspevkov z letnej školy z teórie vyučovania matematiky PYTAGORAS 2009, (vysiel 2010)
  • Jana Kopfová: O šnurovaní topánok alebo… ukážka aplikovanej matematiky pre deti Zborník príspevkov z letnej školy z teórie vyučovania matematiky PYTAGORAS 2009, (vysiel 2010) ISBN:978-80-89370-01-6
  • Jana Kopfová: Matematika a její tajemství, Pokroky matematiky, fyziky a astronomie, ročník 58 (2013), č.4, 346–347. Full-text in PDF
  • Jan Chleboun, Jana Kopfová: Pokroky matematiky, fyziky a astronomie, Vol. 59 (2014), No. 3, 259–260. Full-text in PDF
  • Jana Kopfová: Soutěž o největší fraktál, Matematika – fyzika – informatika, ročník 24 (2015), č. 4, 266–270. Full-text in PDF
  • Tajemství ukrytá v pravoúhlém trojúhelníku, Sborník z konference Ani jeden matematický talent nazmar (2015), ISBN 978-80-905756-4-6.
  • Spolupodílela jsem sa taky na publikaci “Matematika A, Matematika B, pracovní sešit pro 2. stupeň ZŠ a víceletá gymnázia, Hejného metoda” (2016 a 2017).