Position Associate Professor
Address Mathematical Institute
Silesian University in Opava
Na Rybnicku 1
746 01 Opava, Czech Republic
Phone +420 553 684 690
Fax +420 553 684 680
E-mail

Curriculum

- 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.

List of publications

  1. J. Kopfová, Solution of Nonlinear Diffusion Problems by Linear Approximations, Proceedings of the International Students' Conference, Prague (1989).
  2. 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 in PDF
  3. Jana Kopfová, Uniqueness Theorem for a Cauchy problem with Hysteresis, Proc. AMS, 127 (12), 3527–3532, (1999). Full-text in PDF
  4. 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
  5. 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
  6. J. Kopfová, Entropy condition for a quasilinear hyperbolic equation with hysteresis, Differential and Integral Equations 18, 451–467, (2005). Full-text in PDF
  7. 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).
  8. 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
  9. J. Kopfová, A convergence result for spatially inhomogeneous Preisach operators, ZAMP, Vol. 57, 1–7, (2006). Full-text in PDF
  10. J. Kopfová, A homogenization result for a parabolic equation with Preisach hysteresis, ZAMM 87, Issue 5, pp. 352–359, (2007). Full-text in PDF
  11. 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
  12. 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
  13. 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.
  14. 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
  15. 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
  16. 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).
  17. 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.
  18. 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

Other publications

  1. J. Kopfová, M. C. Escher, zborník Letnej školy z teórie vyučovania matematiky, (2006). Full-text in PDF
  2. 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)
  3. Jana Kopfová: O šnurovaní topánok alebo... ukážka aplikovanje matematiky pre deti Zborník príspevkov z letnej školy z teórie vyučovania matematiky PYTAGORAS 2009, (vysiel 2010) ISBN:978-80-89370-01-6

Conferences

  1. Models of hysteresis, Levico, Italy, June 1996.
  2. Systems with hysteresis, Berlin, Germany, September 1999, přednáška Differential equations, hysteresis, and time delay.
  3. Partial differential equations, theory and numerical solutions, Praha, 1998, přednáška Semigroup Approach to the Question of Stability for a Partial Differential Equation with Hysteresis.
  4. Dissipative Models in Phase Transitions, Cortona, Italy, September 2004, přednáška Entropy condition for a quasilinear hyperbolic equation with hysteresis.
  5. Free Boundary Problems, Coimbra, Portugal, June 2005, přednáška Entropy condition for a quasilinear hyperbolic equation with hysteresis.
  6. EQUADIFF, Bratislava, July 2005, přednáška Quasilinear hyperbolic equations with hysteresis.
  7. International Workshop on Multi-rate Processes and Hysteresis, Cork, Ireland, April 2006, přednáška Biological models with hysteresis.
  8. 6th AIMS International conference on dynamical systems, differential equations and applications, Poitiers, France, June 2006, přednáška Nonlinear Semigroup methods in problems with hysteresis.
  9. HMM (Hysteresis modeling and micromagnetics), Neapol, June 2007, On a model with hysteresis arising in magnetohydrodynamics.
  10. EQUADIFF, Vienna, August 2007, přednáška Magnetohydrodynamic flow with hysteresis, an existence result.
  11. International Workshop on Multi-rate Processes and Hysteresis, Cork, Ireland, April 2008, přednáška Magnetohydrodynamic flow with hysteresis, an existence and uniqueness result.
  12. 6th European Conference on Elliptic and Parabolic Problems, Gaeta, Itálie, Květen 2009, přednáška Uniqueness and asymptotic behaviour for a class of parabolic partial differential equations with hysteresis and convection.
  13. 8th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Květen 2010, Dresden, Německo, přednáška Temperature dependent Preisach hysteresis model.
  14. MUPHYS 2010, Pecs, Maďarsko, červen 2010, přednáška A temperature-dependent Preisach shape memory model.
  15. BIRS Rate-independent systems: Modeling, Analysis, and Computations, Banff, Canada, August 2010, přednáška: A Model from Thermoplasticity with Temperature-Dependent Preisach hysteresis