dr hab. Piotr Kalita, prof. UJ

Jednostki:

  • Wydział Matematyki i Informatyki UJ
  • Instytut Informatyki i Matematyki Komputerowej
  • Katedra Matematyki Obliczeniowej

Doktorat  Otwarcie: 2004-04-29, Zamknięcie: 2005-06-23

Habilitacja  Otwarcie: 2016-06-30, Zamknięcie: 2016-12-22

Publikacje:

65.
Matheus Cheque Bortolan, Piotr Kalita, Jose Valero Cuadra, Martiza Almeida Brito
Maximal attractors for multivalued semiflows, Revista Matematica Complutense (2025), available online
64.
Matheus Cheque Bortolan, Piotr Kalita, Jose A. Langa, Rafael de Oliveira Moura
A theoretical and computational study of heteroclinic cycles in Lotka-Volterra systems, Journal of Mathematical Biology vol. 90 (2025), 28
63.
Jacek Kubica, Piotr Zgliczyński, Piotr Kalita
The pitchfork bifurcation and heteroclinic connections in the Kuramoto–Sivashinsky PDE, Journal of Computational Dynamics (2025), available online
62.
Ruben Caballero Toro, Piotr Kalita, Jose Valero Cuadra
On $L^{\infty}$-estimates and the structure of the global attractor for weak solutions of reaction-diffusion equations, Communications on Pure and Applied Analysis vol. 24 (2025), 365-388
61.
Juan Garcia-Fuentes, Piotr Kalita, Jose A. Langa, Antonio Suarez
Forwards attractors for non-autonomous Lotka-Volterra cooperative systems: a detailed geometrical description, Discrete and Continuous Dynamical Systems - Series B vol. 30 (2025), 189-221
60.
Pablo Almaraz, Piotr Kalita, Jose A. Langa, Fernando Soler-Toscano
Structural stability of invasion graphs for Lotka-Volterra systems, Journal of Mathematical Biology vol. 88 (2024), article number 64
59.
Juan Garcia-Fuentes, Piotr Kalita, Jose A. Langa
Forwards attractor structures in a planar cooperative non-autonomous Lotka-Volterra system, Qualitative Theory of Dynamical Systems vol. 23 (2024), article number 163
58.
Matheus Cheque Bortolan, Juliana Fernandes, Juan Garcia-Fuentes, Piotr Kalita
On maximal attractors for dynamical systems. Application to a semilinear parabolic problem with controlled growth, Journal of Evolution Equations vol. 24 (2024), Article number 38
57.
Jakub Banaśkiewicz, Piotr Kalita, Piotr Zgliczyński
Computer-assisted validation of the existence of periodic orbit in the Brusselator system, Advances in Differential Equations vol. 29 (2024), 815-862
56.
Piotr Kalita, Everaldo de Mello Bonotto
Long-time behavior for impulsive generalized semiflows, Nonlinear Analysis-Hybrid Systems vol. 51 (2024), 101432
55.
Jakub Banaśkiewicz, Alexandre Nolasco de Carvalho, Juan Garcia-Fuentes, Piotr Kalita
Autonomous and non-autonomous unbounded attractors in evolutionary problems, Journal of Dynamics and Differential Equations vol. 36 (2024), 3481-3534
54.
Jakub Banaśkiewicz, Piotr Kalita
Convergence of Non-autonomous Attractors for Subquintic Weakly Damped Wave Equation, Applied Mathematics and Optimization vol. 84 (2021), 943-978
53.
Piotr Kalita, Piotr Zgliczyński
Rigorous FEM for 1D Burgers Equation, SIAM Journal on Applied Dynamical Systems vol. 20 (2021), 853–907
52.
Anna Denkowska, Piotr Gwiazda, Piotr Kalita
On renormalized solutions to elliptic inclusions with nonstandard growth, Calculus of Variations and Partial Differential Equations vol. 60 (2021), Article number: 21
51.
Piotr Kalita, Grzegorz Łukaszewicz, Jakub Siemianowski
Nonlinear Semigroups and Their Perturbations in Hydrodynamics. Three Examples vol. 325 (2020), "Semigroups of Operators – Theory and Applications ", Springer
50.
Matteo Caggio, Piotr Kalita, Grzegorz Łukaszewicz, Krzysztof Mizerski
Vertical heat transport at infinite Prandtl number for micropolar fluid, Archives of Mechanics vol. 72 (2020), 525-553
49.
Piotr Kalita, Grzegorz Łukaszewicz
Micropolar meets Newtonian in 3D. The Rayleigh-Bénard problem for large Prandtl numbers, Nonlinearity vol. 33 (2020), 5686
48.
Leszek Gasiński, Piotr Kalita
On dynamic contact problem with generalized Coulomb friction, normal compliance and damage, Evolution Equations and Control Theory vol. 9 (2020), 1009-1026
47.
Piotr Kalita, Piotr Zgliczyński
On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions, Proceedings of the Royal Society of Edinburgh Section A: Mathematics vol. 150 (2020), 2025-2054
46.
Everaldo de Mello Bonotto, Piotr Kalita
On attractors of generalized semiflows with impulses, Journal of Geometric Analysis vol. 30 (2020), 1412-1449
45.
Piotr Kalita, Meir Shillor, Paweł Szafraniec
A frictional contact problem with wear diffusion, Zeitschrift für Angewandte Mathematik und Physik vol. 70 (2019), 96
44.
Piotr Kalita, Jose A. Langa, Fernando Soler-Toscano
Informational Structures and Informational Fields as a prototype for the description of postulates of the Integrated Information Theory, Entropy vol. 21 (2019), 493
43.
Piotr Kalita, Jose A. Langa, Grzegorz Łukaszewicz
Micropolar meets Newtonian. The Rayleigh–Bénard problem, Physica D: Nonlinear Phenomena vol. 392 (2019), 57-80
42.
Piotr Kalita, Grzegorz Łukaszewicz, Jakub Siemianowski
On relation between attractors for single and multivalued semiflows for a certain class of PDEs, Discrete and Continuous Dynamical Systems - Series B vol. 24 (2019), 1199-1227
41.
Piotr Kalita, Piotr Kowalski
On multivalued Duffing equation, Journal of Mathematical Analysis and Applications vol. 462 (2018), 1130-1147
40.
Mirelson M. Freitas, Piotr Kalita, Jose A. Langa
Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations, Journal of Differential Equations vol. 264 (2018), 1886-1945
39.
Piotr Kalita, Grzegorz Łukaszewicz, Jakub Siemianowski
Rayleigh-Benard problem for Thermomicropolar Fluids, Topological Methods in Nonlinear Analysis vol. 52 (2018), 477-514
38.
Mikael Barboteu, Leszek Gasiński, Piotr Kalita
Analysis of a dynamic frictional contact problem for hyperviscoelastic material with non-convex energy density , Mathematics and Mechanics of Solids vol. 23 (2018), 359-391
37.
Michele Coti Zelati, Piotr Kalita
Smooth attractors for weak solutions of the SQG equation with critical dissipation, Discrete and Continuous Dynamical Systems - Series B vol. 22 (2017), 1857-1873
36.
Sylwia Dudek, Piotr Kalita, Stanisław Migórski
Steady flow of generalized Newtonian fluid with multivalued rheology and nonmonotone friction law, Computers and Mathematics with Applications vol. 74 (2017), 1813-1825
35.
Robert Filipek, Piotr Kalita, Lucjan Sapa, Krzysztof Szyszkiewicz
On local weak solutions to Nernst–Planck–Poisson system, Applicable Analysis vol. 96 (2017), 2316-2332
34.
Sylwia Dudek, Piotr Kalita, Stanisław Migórski
Stationary Oberbeck-Boussinesq model of generalized Newtonian fluid governed by multivalued partial differential equations, Applicable Analysis vol. 96 (2017), 2192-2217
33.
Piotr Kalita, Stanisław Migórski, Mircea Sofonea
A multivalued variational inequality with unilateral constraints vol. 494 (2016), "System Modeling and Optimization", Springer
32.
Piotr Kalita
On Global Attractor for Parabolic Partial Differential Inclusion and Its Time Semidiscretization, (2016), "Advances in Mathematical Modeling, Optimization and Optimal Control (eds. J.-B. Hiriart-Urruty, A. Korytowski, H. Maurer, and M. Szymkat)", Springer
31.
Andrzej Bielecki, Maciej Gierdziewicz, Piotr Kalita, Kamil Szostek
Construction of a 3D geometric model of a presynaptic bouton for use in modeling of neurotransmitter flow, Lecture Notes in Computer Science vol. 9972 (2016), 377-386
30.
Jose Ramon Fernandez, Piotr Kalita, Stanisław Migórski, Maria del Carmen Muniz, Cristina Nunez
Existence and uniqueness results for a kinetic model in bulk-surface surfactant dynamics , SIAM Journal on Mathematical Analysis vol. 48 (2016), 3065-3089
29.
Piotr Kalita, Grzegorz Łukaszewicz
Navier-Stokes Equations. An introduction with applications, Springer, 2016
28.
Leszek Gasiński, Piotr Kalita
On quasi-static contact problem with generalized Coulomb friction, normal compliance and damage, European Journal of Applied Mathematics vol. 27 (2016), 625-646
27.
Piotr Kalita, Stanisław Migórski, Mircea Sofonea
A class of subdifferential inclusions for elastic unilateral contact problems, Set-Valued and Variational Analysis vol. 24 (2016), 355-379
26.
Krzysztof Bartosz, Piotr Kalita, Stanisław Migórski, Anna Ochal, Mircea Sofonea
History dependent problems with applications to contact models for elastic beams, Applied Mathematics and Optimization vol. 73 (2016), 71-98
25.
Piotr Kalita, Grzegorz Łukaszewicz
Attractors for multivalued processes with weak continuity properties, (2015), "Continuous and Distributed Systems II Theory and Applications, Studies in Systems, Decision and Control, vol. 30, V.A. Sadovnichiy, M.Z. Zgurovsky (eds.)", Springer
24.
Krzysztof Bartosz, Zdzisław Denkowski, Piotr Kalita
Sensitivity of Optimal Solutions to Control Problems for Second Order Evolution Subdifferential Inclusions, Applied Mathematics and Optimization vol. 71 (2015), 379-410
23.
Sylwia Dudek, Piotr Kalita, Stanisław Migórski
Stationary flow of non–Newtonian fluid with nonmonotone frictional boundary conditions, Zeitschrift für Angewandte Mathematik und Physik vol. 66 (2015), 2625-2646
22.
Michele Coti Zelati, Piotr Kalita
Minimality properties of set-valued processes and their pullback attractors, SIAM Journal on Mathematical Analysis vol. 47 (2015), 1530-1561
21.
Piotr Kalita, Grzegorz Łukaszewicz
On Large Time Asymptotics for Two Classes of Contact Problems vol. 33 (2015), "Advances in Variational and Hemivariational Inequalities, Advances in Mechanics and Mathematics, W. Han, S. Migórski, M. Sofonea (eds.)", Springer
20.
Jerzy Czepiel, Piotr Kalita
Numerical solution of a variational-hemivariational inequality modeling simplified adhesion of an elastic body, IMA Journal of Numerical Analysis vol. 35 (2015), 372-393
19.
Mikael Barboteu, Krzysztof Bartosz, Piotr Kalita, Ahmad Ramadan
A Contact Problem with Normal Compliance, Finite Penetration and Nonmonotone Slip Dependent Friction vol. 95 (2015), "Advances in Global Optimization, Springer Proceedings in Mathematics & Statistics, D. Gao, N. Ruan, W. Xing (eds.),", Springer Verlag (połaczony z Kluwer Academic Publishing)
18.
Krzysztof Bartosz, Xiaoliang Cheng, Piotr Kalita, Yuanjie Yu, Cong Zeng
Rothe method for parabolic variational-hemivariational inequalities, Journal of Mathematical Analysis and Applications vol. 423 (2015), 841-862
17.
Mikael Barboteu, Krzysztof Bartosz, Piotr Kalita
A dynamic viscoelastic contact problem with normal compliance, finite penetration and nonmonotone slip rate dependent friction, Nonlinear Analysis: Real World Applications vol. 22 (2015), 452-472
16.
Piotr Kalita, Grzegorz Łukaszewicz
Attractors for Navier-Stokes flows with multivalued and nonmonotone subdifferential boundary conditions, Nonlinear Analysis: Real World Applications vol. 19 (2014), 75-88
15.
Piotr Kalita, Grzegorz Łukaszewicz
Global attractors for multivalued semiflows with weak continuity properties, Nonlinear Analysis, Theory, Methods and Applications vol. 101 (2014), 124-143
14.
Mikael Barboteu, Krzysztof Bartosz, Piotr Kalita, Ahmad Ramadan
Analysis of a contact problem with normal compliance, finite penetration and nonmonotone slip dependent friction, Communications in Contemporary Mathematics vol. 16 (2014), 1350016 [29 pages]
13.
Jose Ramon Fernandez, Piotr Kalita, Stanisław Migórski, Maria del Carmen Muniz, Cristina Nunez
Variational analysis of the Langmuir–Hinshelwood dynamic mixed-kinetic adsorption model, Nonlinear Analysis: Real World Applications vol. 15 (2014), 205–220
12.
Jose Ramon Fernandez, Piotr Kalita, Stanisław Migórski, Maria del Carmen Muniz, Cristina Nunez
Variational and numerical analysis of a mixed kinetic-diffusion surfactant model for the modified the Langmuir-Hinshelwood equation, Proceedings of the 13th International Conference On Computational and Mathematical Methods in Science and Engineering, Cmmse 2013 (2013), 601-614
11.
Mikael Barboteu, Krzysztof Bartosz, Piotr Kalita
An analytical and numerical approach to a bilateral contact problem with nonmonotone friction, International Journal of Applied Mathematics and Computer Science vol. 23 (2013), 263-276
10.
Piotr Kalita
Convergence of Rothe scheme for hemivariational inequalities of parabolic type, International Journal of Numerical Analysis and Modeling vol. 10 (2013), 445-465
9.
Andrzej Bielecki, Piotr Kalita
Dynamical properties of the reaction-diffusion type model of fast synaptic transport, Journal of Mathematical Analysis and Applications vol. 393 (2012), 329–340
8.
Krzysztof Bartosz, Piotr Kalita
Optimal control for a class of dynamic viscoelastic contact problems with adhesion, Dynamic Systems and Applications vol. 21 (2012), 269-292
7.
Piotr Kalita
Regularity and Rothe method error estimates for parabolic hemivariational inequality, Journal of Mathematical Analysis and Applications vol. 389 (2012), 618-631
6.
Piotr Kalita
Decay of energy for second-order boundary hemivariational inequalities with coercive damping, Nonlinear Analysis, Theory, Methods and Applications vol. 74 (2011), 1164-1181
5.
Andrzej Bielecki, Piotr Kalita, Marian Lewandowski, Bartłomiej Siwek
Numerical simulation for a neurotransmitter transport model in the axon terminal of a presynaptic neuron, Biological Cybernetics vol. 102 (2010), 489-502
4.
Bartosz Bierkowski, Piotr Kalita, Igor Podolak, Adam Roman
Algorithm for intelligent prediction of requests in business systems, Lecture Notes in Computer Science vol. 4910 (2008), 696-707
3.
Andrzej Bielecki, Piotr Kalita, Marian Lewandowski, Marek Skomorowski
Compartment model of neuropeptide synaptic transport with impulse control, Biological Cybernetics vol. 99 (2008), 443-458
2.
Piotr Kalita, Robert Schaefer
Mechanical models of artery walls, Archives of Computational Methods in Engineering vol. 15 (2008), 1-36
1.
Andrzej Bielecki, Piotr Kalita
Model of neurotransmitter fast transport in axon terminal of presynaptic neuron, Journal of Mathematical Biology vol. 56 (2008), 559-576

Konferencje:

26.
Piotr Kalita.
ICMC Summer Meeting on Differential Equations 2022 Chapter, University of Sao Paulo, Sao Carlos, Brazylia, 2022-01-31 - 2022-01-31
25.
Piotr Kalita.
ICMC Summer Meeting on Differential Equations 2021 Chapter, Universidade de São Paulo (USP), Sao Carlos, Brazylia, 2021-02-01 - 2021-02-03
24.
Piotr Kalita, Anna Ochal, Klaudiusz Wójcik, Włodzimierz Zwonek, Dominik Kwietniak, Leokadia Białas-Cież, Halszka Tutaj-Gasińska, Sławomir Dinew, Marcin Pitera, Żywomir Dinew, Paweł Borówka, Mateusz Przybylski.
UMI-SIMAI-PTM joint meeting, PTM, Wrocław, Polska, 2018-09-17 - 2018-09-20
23.
Piotr Kalita.
Summer School: Dissipative dynamical systems and applications, Universita degli studi de Modena et Reggio Emilia, Modena, Włochy, 2018-09-03 - 2018-09-07
22.
Piotr Kalita, Roman Srzednicki, Bogdan Batko, Mateusz Przybylski, Michał Lipiński.
DYNAMICS, TOPOLOGY AND COMPUTATIONS 2018 (DyToComp), Stefan Banach International Mathematical Center, Będlewo, Polska, 2018-06-18 - 2018-06-23
21.
Piotr Kalita, Anna Ochal.
Special Workshop on Nonlinear Analysis, Juliusz Schauder Medal Awarding Ceremony, Nicolaus Copernicus University in Toruń, Toruń, Polska, 2018-05-21 - 2018-05-23
20.
Piotr Kalita.
XI Congresso GAFEVOL, Universidade de Brasília, Brasilia, Brazylia, 2017-10-23 - 2017-10-26
19.
Piotr Kalita, Anna Ochal, Michał Jureczka.
Nonlocal PDEs Seminar, UW, UJ, Małe Ciche, Polska, 2017-09-25 - 2017-09-30
18.
Piotr Kalita.
"Analysis and Applications" in honor of Professor Elias M. Stein , Uniwersytet Wrocławski, Wrocław, Polska, 2017-09-04 - 2017-09-08
17.
Piotr Kalita.
XXX-lecie Instytutu Matematyki Stosowanej i Mechaniki, Uniwersytet Warszawski, Warszawa, Polska, 2017-04-20 - 2017-04-22
16.
Piotr Kalita.
Nonstandard Growth Analysis and its Applications 2017, IMPAN, Warszawa, Polska, 2017-03-14 - 2017-03-16
15.
Piotr Kalita.
Mathflows2017, IMPAN, Będlewo, Polska, 2017-01-15 - 2017-01-20
14.
Piotr Kalita.
Winter school CrossFields PDEs, IMPAN, Będlewo, Polska, 2016-12-05 - 2016-12-09
13.
Piotr Kalita.
XIIIeme Colloque Franco-Roumain de Mathématiques Appliquées, Universitatea "Al. I. Cuza" din Iasi, Iasi, Rumunia, 2016-08-25 - 2016-08-29
12.
Piotr Kalita, Anna Ochal.
Tenth Forum on Partial Differential Equations, IM PAN, Będlewo, Poland, 2016-06-19 - 2016-06-24
11.
Piotr Kalita, Anna Ochal.
Dynamical Systems and Applications (IV), Politechnika Łódzka, Łódź, Poland, 2016-06-16 - 2016-06-18
10.
Stanisław Migórski, Piotr Kalita, Anna Ochal, Anna Kulig, Paweł Szafraniec, Tomasz Służalec.
Emerging Trends in Applied Mathematics and Mechanics, The LAboratory of Mathematics and PhySics (LAMPS) of the University of Perpignan Via Domitia, Perpignan, Francja, 2016-05-30 - 2016-06-03
9.
Piotr Kalita.
One Day Workshop on Dynamical Systems and Applications, University of Seville, Sewilla, Hiszpania, 2015-11-19 - 2015-11-19
8.
Stanisław Migórski, Krzysztof Bartosz, Piotr Kalita.
27th IFIP TC7 Conference 2015 on System Modelling and Optimization, Universite Nice, Sophia Antipolis and INRIA Laboratoire J.-A. Dieudonne, Nice, Sophia Antipolis, France, 2015-06-29 - 2015-07-03
7.
Stanisław Migórski, Krzysztof Bartosz, Piotr Kalita, Anna Ochal.
Perpignan's Days on Applied Mathematics, The LAboratory of Mathematics and PhySics (LAMPS) of the University of Perpignan Via Domitia, Perpignan, Francja, 2015-06-10 - 2015-06-12
6.
Piotr Kalita.
"Global dynamics in evolutionary PDEs" the conference on the occasion of Professor Łukaszewicz's 60-th birthday, Uniwersytet Warszawski, Warszawa, Polska, 2015-04-17 - 2015-04-18
5.
Piotr Kalita, Liliana Klimczak.
3rd Conference on Dynamical Systems and Applications, Politechnika Łódzka, Łódź, Polska, 2015-04-16 - 2015-04-16
4.
Krzysztof Bartosz, Leszek Gasiński, Piotr Kalita, Paweł Szafraniec.
Conference on Partial Differential Equations, TUM, Monachium, Niemcy, 2015-03-25 - 2015-03-29
3.
Leszek Gasiński, Piotr Kalita, Tomasz Kapela, Daniel Wilczak, Aleksander Czechowski.
The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications , AIMS, Madryt, Hiszpania, 2014-07-07 - 2014-07-11
2.
Piotr Kalita, Anna Ochal, Tomasz Służalec.
Dynamical Systems and Applications, Politechnika Łódzka, Łódź, Polska, 2014-06-12 - 2014-06-12
1.
Stanisław Migórski, Piotr Kalita.
The 6th German Polish Conference on Optimization - Methods and Applications with special emphasis on Smooth and Nonsmooth Optimization, Variational Problems, Variational Inequalities, and Optimal Control (GPCO6), Technische Universität Bergakademie Freiberg and the Martin-Luther-Universität Halle-Wittenberg, Leucorea in Wittenberg, Germany, 2014-02-28 - 2014-03-04

Konferencje organizowane:

6.
Piotr Kalita.
Singular PDEs, Analytical Tools and Applications, Małe Ciche, 2015-06-24, 2015-06-27
5.
Piotr Kalita.
Małe Ciche 2017, Nonlocal PDEs, Małe Ciche, 2017-09-26, 2017-09-29
4.
Piotr Kalita.
Małe Ciche 2017, Nonlocal PDEs, Małe Ciche, 2017-09-26, 2017-09-29
3.
Piotr Kalita.
Małe Ciche 2017, Nonlocal PDEs, Małe Ciche, 2017-09-26, 2017-09-29
2.
Piotr Kalita.
Nonlocal PDEs, Male Ciche, 2017-09-26, 2017-09-29
1.
Piotr Kalita.
12th Forum of Partial Differential Equations, Będlewo, 2021-09-19, 2021-09-24

Doktoranci (po 27 października 2003 roku)

DoktorantOtwarcieZakonczenie
Mateusz Malik2017-06-29 
Krzysztof Winowski2019-04-252025-01-23
Jakub Banaśkiewicz2024-06-272025-03-27

Granty (realizowane po maju 2009 roku)

Nagrody

RokRodzajRodzaj uhonorowanej działalnościTyp 
2020nagrodainnekrajowaSzczegóły