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Position
| Associate Professor
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Address
| Mathematical Institute
Silesian University in Opava
Na Rybnicku 1
746 01 Opava, Czech Republic
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Phone
| +420 553 684 690
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Fax
| +420 553 684 680
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E-mail
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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
- 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 in PDF
- 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
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 aplikovanje matematiky pre deti Zborník príspevkov z letnej školy z teórie vyučovania matematiky PYTAGORAS 2009, (vysiel 2010) ISBN:978-80-89370-01-6
Conferences
- Models of hysteresis, Levico, Italy, June 1996.
- Systems with hysteresis, Berlin, Germany, September 1999, přednáška Differential equations, hysteresis, and time delay.
- Partial differential equations, theory and numerical solutions, Praha, 1998, přednáška Semigroup Approach to the Question of Stability for a Partial Differential Equation with Hysteresis.
- Dissipative Models in Phase Transitions, Cortona, Italy, September 2004, přednáška Entropy condition for a quasilinear hyperbolic equation with hysteresis.
- Free Boundary Problems, Coimbra, Portugal, June 2005, přednáška Entropy condition for a quasilinear hyperbolic equation with hysteresis.
- EQUADIFF, Bratislava, July 2005, přednáška Quasilinear hyperbolic equations with hysteresis.
- International Workshop on Multi-rate Processes and Hysteresis, Cork, Ireland, April 2006, přednáška Biological models with hysteresis.
- 6th AIMS International conference on dynamical systems, differential equations and applications, Poitiers, France, June 2006, přednáška Nonlinear Semigroup methods in problems with hysteresis.
- HMM (Hysteresis modeling and micromagnetics), Neapol, June 2007, On a model with hysteresis arising in magnetohydrodynamics.
- EQUADIFF, Vienna, August 2007, přednáška Magnetohydrodynamic flow with hysteresis, an existence result.
- International Workshop on Multi-rate Processes and Hysteresis, Cork, Ireland, April 2008, přednáška Magnetohydrodynamic flow with hysteresis, an existence and uniqueness result.
- 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.
- 8th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Květen 2010, Dresden, Německo, přednáška Temperature dependent Preisach hysteresis model.
- MUPHYS 2010, Pecs, Maďarsko, červen 2010, přednáška A temperature-dependent Preisach shape memory model.
- BIRS Rate-independent systems: Modeling, Analysis, and Computations, Banff, Canada, August 2010, přednáška: A Model from Thermoplasticity with Temperature-Dependent Preisach hysteresis
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