Ryszard Wojnar, PhD 

Doctoral thesis
1973  Liniowa mechanika statystyczna uogólnionej dyfuzji

Recent publications
1. 
Wojnar R., Kinetic equation for the dilute Boltzmann gas in an external field,
ACTA PHYSICA POLONICA B, ISSN: 05874254, DOI: 10.5506/APhysPolB.49.905, Vol.49, No.5, pp.905920, 2018 Abstract:
 
2. 
Wojnar R., Heuristic derivation of Brinkman's seepage equation,
Technical Sciences, ISSN: 15054675, Vol.20, No.4, pp.359374, 2017 Abstract: Keywords:
 
3. 
Wojnar R., Bielski W.^{♦}, Laminar flow past the bottom with obstacles – a suspension approximation,
BULLETIN OF THE POLISH ACADEMY OF SCIENCES: TECHNICAL SCIENCES, ISSN: 02397528, DOI: 10.1515/bpasts20150080, Vol.63, No.3, pp.685695, 2015 Abstract: Keywords:
 
4. 
Gambin B., Kruglenko E., Gałka A.A.^{♦}, Wojnar R., Macroscopic thermal properties of quasilinear cellular medium on example of the liver tissue,
COMPUTER ASSISTED METHODS IN ENGINEERING AND SCIENCE, ISSN: 22993649, Vol.22, No.4, pp.329346, 2015 Abstract: Keywords:
 
5. 
Wojnar P.^{♦}, Zieliński M.^{♦}, Janik E.^{♦}, Zaleszczyk W.^{♦}, Wojciechowski T.^{♦}, Wojnar R., Szymura M.^{♦}, Kłopotowski Ł.^{♦}, Baczewski L.T.^{♦}, Pietruchik A.^{♦}, Wiater M.^{♦}, Kret S.^{♦}, Karczewski G.^{♦}, Wojtowicz T.^{♦}, Kossut J.^{♦}, Straininduced energy gap variation in ZnTe/ZnMgTe core/shell nanowires,
APPLIED PHYSICS LETTERS, ISSN: 00036951, DOI: 10.1063/1.4873355, Vol.104, pp.16311115, 2014 Abstract: Keywords:
 
6. 
Wojnar R., Flow of Stokesian fluid through a cellular medium and thermal effects,
BULLETIN OF THE POLISH ACADEMY OF SCIENCES: TECHNICAL SCIENCES, ISSN: 02397528, DOI: 10.2478/bpasts20140031, Vol.62, No.2, pp.321329, 2014 Abstract: Keywords:
 
7. 
Wojnar R., Wojnar P.^{♦}, Kret S.^{♦}, Elastic State Induced Energy Gap Variation in ZnTe/ZnMgTe Core/Shell Nanowires,
TECHNISCHE MECHANIK, ISSN: 02323869, Vol.34, pp.233245, 2014 Abstract:
 
8. 
Wojnar R., Random Walk, Diffusion and Wave Equation,
ACTA PHYSICA POLONICA B, ISSN: 05874254, DOI: 10.5506/APhysPolB.44.1067, Vol.44, No.5, pp.10671084, 2013 Abstract:
 
9. 
Wojnar R., Random walk, RayleighKac’ scheme and diffusion equation,
REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, Vol.72, No.3, pp.321332, 2013 Abstract: Keywords:
 
10. 
Wojnar R., Rayleigh's Distribution, Wigner's Surmise and Equation of the Diffusion,
ACTA PHYSICA POLONICA A, ISSN: 05874246, DOI: 10.12693/APhysPolA.123.624, Vol.123, No.3, pp.624628, 2013 Abstract:
 
11.  Wojnar R., Student’s tdistribution versus Zeldovich–Kompaneets solution of diffusion problem, ACTA PHYSICA POLONICA A, ISSN: 05874246, Vol.121, No.2B, pp.133136, 2012  
12.  Wojnar R., Twolevel diffusion, random walk and uniqueness, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, Vol.68, No.1, pp.8596, 2011  
13.  Wojnar R., Boussinesq equation for flow in an aquifer with time dependent porosity, BULLETIN OF THE POLISH ACADEMY OF SCIENCES: TECHNICAL SCIENCES, ISSN: 02397528, Vol.58, No.1, pp.165170, 2010  
14.  Wojnar R., Kinetic equation for a gas with attractive forces as a functional equation, Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, ISSN: 2081545X, Vol.8, pp.91116, 2009  
15.  Wojnar R., Structural control in tissue development, JOURNAL OF THEORETICAL AND APPLIED MECHANICS, ISSN: 14292955, Vol.43, No.4, pp.805812, 2005  
16. 
Telega J.J., Wojnar R., Piezoelectric effects in biological tissues,
JOURNAL OF THEORETICAL AND APPLIED MECHANICS, ISSN: 14292955, Vol.40, No.3, pp.723759, 2002 Abstract: Keywords:
 
17. 
Wojnar R., Homogenization of piezoelectric solid and thermodynamics,
REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(97)859083, Vol.40, No.3, pp.585598, 1997 Abstract:
 
18. 
Gałka A.^{♦}, Telega J.J., Wojnar R., Some computational aspects of homogenization of thermopiezoelectric composites,
Computer Assisted Mechanics and Engineering Sciences, ISSN: 1232308X, Vol.3, No.2, pp.133154, 1996 Abstract:
 
19. 
Telega J.J., Wojnar R., Main Polish Historical and Modern Sources on Applied Mechanics,
Applied Mechanics Reviews, ISSN: 00036900, DOI: 10.1115/1.3101933, Vol.49, No.8, pp.401432, 1996 Abstract:
 
20.  Gałka A.^{♦}, Wojnar R., Dynamiczne naprężenia cieplne w półprzestrzeni sprężystej wywołane przez impuls laserowy, Prace IPPT  IFTR Reports, ISSN: 22993657, No.25, pp.153, 1993  
21.  Gałka A.^{♦}, Telega J.J., Wojnar R., Thermodiffusion in Heterogeneous Elastic Solids and Homogenization, Prace IPPT  IFTR Reports, ISSN: 22993657, No.14, pp.176, 1993  
22. 
Gałka A.^{♦}, Telega J.J., Wojnar R., Homogenization and thermopiezoelectricity,
Mechanics Research Communications, ISSN: 00936413, DOI: 10.1016/00936413(92)90050K, Vol.19, No.4, pp.315324, 1992 Abstract:
 
23. 
Wojnar R., Uniqueness of displacementheat flux and stresstemperature problems in thermoelasticity with one relaxation time,
JOURNAL OF THERMAL STRESSES, ISSN: 01495739, DOI: 10.1080/01495738508942242, Vol.8, No.4, pp.351364, 1985 Abstract:
 
24.  Wojnar R., Twierdzenie o jednoznaczności dla pewnego układu naprężeniowych równań ruchu liniowej teorii sprężystości, Prace IPPT  IFTR Reports, ISSN: 22993657, No.70, pp.110, 1972  
25.  Wojnar R., O jednoznaczności rozwiązań naprężeniowych równań ruchu typu BeltramiegoMichella, Prace IPPT  IFTR Reports, ISSN: 22993657, No.63, pp.111, 1972  
26.  Wojnar R., O wyznaczeniu naprężeń zmiennych w czasie z obrazów elastooptycznych, Prace IPPT  IFTR Reports, ISSN: 22993657, No.33, pp.112, 1970 
List of chapters in recent monographs
1. 
Wojnar R., Postępy w badaniach fizykochemicznych  wybrane zagadnienia, rozdział: Helisa BoerdijkaCoxetera  w geometrii, biologii, fizyce, ..., Wydawnictwo Naukowe TYGIEL Sp. z o.o., Lublin, pp.180197, 2019  
2. 
Bielski W.^{♦}, Wojnar R., Applicable Solutions in Nonlinear Dynamical Systems, rozdział: Gravity waves in channels with corrugated bottom: asymptotic approaches, Wydawnictwo Politechniki Łódzkiej, Łódź, pp.7586, 2019  
3. 
Wojnar R., Bielski W.^{♦}, Modern Problems in Applied Analysis. Trends in Mathematics, rozdział: Gravity Driven Flow Past the Bottom with Small Waviness, Birkhauser – Springer International Publishing AG, part of Springer Nature 2018, Piotr Drygaś and Sergei Rogosin (Eds.), pp.181202, 2018  
4. 
Bielski W.^{♦}, Wojnar R., Dynamical Systems in Theoretical Perspective. Springer Proceedings in Mathematics & Statistics, rozdział: Stokes Flow Through a Tube with Wavy Wall, Springer International Publishing AG, part of Springer Nature 2018, Jan Awrejcewicz (Ed.), 248, pp.379390, 2018  
5. 
Bielski W.^{♦}, Wojnar R., Vibration, Control and Stability of Dynamical Systems  DSTA 2017, rozdział: Stokes flow through a tube with wavy wall, Jan Awrejcewicz, Marek Kaźmierczak, Jerzy Mrozowski, Paweł Olejnik (Eds.), Department of Automation, Biomechanics and Mechatronics, ARSA Druk i Reklama, Łódź, pp.8394, 2017  
6. 
Bielski W.^{♦}, Kowalczyk P.^{♦}, Wojnar R., The Book of Abstracts of the Numerical Heat Transfer 2015  Eurotherm Seminar No. 109, rozdział: Twotemperature heat transfer in metal films, Institute of Thermal Technology, Silesian University of Technology, Gliwice, Poland and Institute of Heat Engineering, Warsaw University of Technology, Warsaw, Poland, Editors: Andrzej J. Nowak, Jerzy Banaszek, and Bozidar Sarler, pp.2930, 2015  
7. 
Rylko N.^{♦}, Wojnar R., Geometry, Integrability, Mechanics and Quantization, rozdział: Resurgence edge effects in composites: fortuity and geometry, Ivailo M. Mladenov, Mariana Hadzhilazova and Vasyl Kovalchuk (Editors), Avangard Prima, Sofia, pp.342349, 2015  
8. 
Wojnar R., Geometry, Integrability, Mechanics and Quantization, rozdział: Bohmian picture of the wave function and the gauge invariance, Ivailo M. Mladenov, Mariana Hadzhilazova and Vasyl Kovalchuk (Editors), Avangard Prima, Sofia, pp.411424, 2015  
9. 
Bielski W.^{♦}, Kowalczyk P.^{♦}, Wojnar R., The Conference Proceedings of the Numerical Heat Transfer 2015  Eurotherm Seminar No. 109, rozdział: Twotemperature heat transfer in metal films, Institute of Thermal Technology, Silesian University of Technology, Gliwice, Poland and Institute of Heat Engineering, Warsaw University of Technology, Warsaw, Poland, Editors: Andrzej J. Nowak, Jerzy Banaszek, and Bozidar Sarler, pp.5767, 2015  
10. 
Bielski W.^{♦}, Wojnar R., PCMCMM2015  3rd Polish Congress of Mechanics & 21st Computer Methods in Mechanics, rozdział: Laminar flow past the bottom with obstacles  from suspension to porous medium, Polish Society of Theoretical and Applied Mechanics, Drukarnia WIB Piotr Winczewski, Gdańsk, Poland, Editors: Michał Kleiber, Tadeusz Burczyński, Krzysztof Wilde, Jarosław Górski, Karol Winkelmann, and Łukasz Smakosz, Vol. 1, 1, pp.207208, 2015  
11. 
Wojnar R., PCMCMM2015  3rd Polish Congress of Mechanics & 21st Computer Methods in Mechanics, rozdział: Modelling polycrystalline structure of collagen fibrils dense packing by the most uniform concentric pattern, Polish Society of Theoretical and Applied Mechanics, Drukarnia WIB Piotr Winczewski, Gdańsk, Poland, Editors: Michał Kleiber, Tadeusz Burczyński, Krzysztof Wilde, Jarosław Górski, Karol Winkelmann, and Łukasz Smakosz, Vol. 1, 1, pp.269270, 2015  
12. 
Wojnar R., Bielski W.^{♦}, Complex Analysis and Potential Theory with Applications, rozdział: Flow in the canal with plants on the bottom, Cambridge Scientific Publishers, T. Aliev Azerogly, A. Golberg, S.V. Rogosin (Eds.), pp.167183, 2014  
13. 
Wojnar R., Piezoelectric nanomaterials for biomedical applications. Nanomedicine and Nanotoxicology, rozdział: Piezoelectric phenomena in biological tissues, Springer, Gianni Ciofani and Arianna Menciassi (Eds.), pp.173185, 2012  
14. 
Wojnar R., Biomechanics of hard tissues: Modeling, testing and materials, rozdział: Bone and cartilage  its structure and physical properties, WileyVCH Verlag GmbH&Co. KGaA, Weinheim, pp.176, 2010  
15. 
Wojnar R., More Progresses In Analysis: Proceedings of the 5th International Isaac Congres, rozdział: Strains in tissue development: a vortex description, World Scientific Publishing Co., Begehr H.G.W., Nicolosi F. (Eds.), pp.12711281, 2009  
16. 
Bielski W.^{♦}, Wojnar R., Analytic Methods of Analysis and Differential Equations, rozdział: Homogenisation of flow through double scale porous medium, Cambridge Scientific Publishers, Cambridge UK, Kilbas A.A., Rogosin S.V. (Eds.), pp.2743, 2008 
Conference papers
1.  Wojnar R., Complex dielectric coefficients and maxwell’s averaging, 8th International ISAAC Congress, 20110822/0827, Moscow (RU), pp.17, 2011 
Conference abstracts
1.  Wojnar R., Kapsydy wirusów jako wielościany, XII Interdyscyplinarna Konferencja Naukowa TYGIEL 2020. Interdyscyplinarność kluczem do rozwoju., 20200924/0927, Lublin (PL), pp.6060, 2020  
2.  Wojnar R., Moments of the Van Hove dynamic scattering law, Symposium on Statistical Physics, 20201203/1204, Kraków (PL), pp.6464, 2020  
3.  Wojnar R., Rozkład BosegoEinsteina i prawo Pareta, XII Interdyscyplinarna Konferencja Naukowa TYGIEL 2020. Interdyscyplinarność kluczem do rozwoju., 20200924/0927, Lublin (PL), pp.225, 2020  
4.  Wojnar R., Helisy i piezoelektryczność, XII Interdyscyplinarna Konferencja Naukowa TYGIEL 2020. Interdyscyplinarność kluczem do rozwoju., 20200924/0927, Lublin (PL), pp.89, 2020  
5.  Bielski W.^{♦}, Wojnar R., Brinkman's regulatization of Darcian seepage, PCMCMM, 4th Polish Congress of Mechanics, 23rd International Conference on Computer Methods in Mechanics, 20190908/0912, Kraków (PL), pp.396MS12CR, 2019  
6.  Wołowicz J.^{♦}, Lissowski A.^{♦}, Wojnar R., How to Construct BC Helix From the Simplest Children's Toy: The Equilateral Triangle, World Congress on Physics, 20191017/1018, Berlin (DE), pp.14, 2019  
7.  Wojnar R., Kinetic equation for the pair distribution function in the Boltzmann gas, 32nd Marian Smołuchowski Symposium on Statistical Physics, 20190918/0920, Kraków (PL), pp.35, 2019  
8.  Bielski W.^{♦}, Wojnar R., Plane flow through the porous medium with chessboardlike distribution of permeability, 2nd Workshop on Porous Media, 20180628/0630, Olsztyn (PL), pp.7, 2018  
9.  Wojnar R., Movement of coincidence grain boundaries with sigma = 7,13,19,...,49,...,91,...: from isotropy to anisotropy, SolMech 2018, 41st SOLID MECHANICS CONFERENCE, 20180827/0831, Warszawa (PL), pp.250251, 2018  
10.  Bielski W.^{♦}, Kowalczyk P.^{♦}, Wojnar R., Thermal stresses and two temperature heat transfer, SolMech 2018, 41st SOLID MECHANICS CONFERENCE, 20180827/0831, Warszawa (PL), pp.234235, 2018  
11. 
Gambin B., Kruglenko E., Wojnar R., Macroscopic thermal properties of quasilinear cellular medium on example of the liver tissue,
NHT 2015, Numerical Heat Transfer 2015 – Eurotherm Seminar No. 109, 20150927/0930, Warszawa (PL), pp.177178, 2015 Abstract: Keywords:
 
12. 
Wojnar R., Gambin B., Thermal properties of biomaterials on the example of the liver,
PCMCMM 2015, 3rd Polish Congress of Mechanics and 21st Computer Methods in Mechanics, 20150908/0911, Gdańsk (PL), pp.267268, 2015 Abstract: Keywords:
 
13.  Wojnar R., Budowa kolagenu: geometria i fizyka, III National Conference of Nano and Micromechanics, 20120704/0706, Warszawa (PL), pp.169170, 2012 