Vít Průša

Academic and personal data

• Curriculum vitae
• List of publications (Web of Science, Scopus, MathSciNet, Google Scholar, ResearchGate)

Links

• Teaching
• Study programme Mathematical Modelling at Faculty of Mathematics and Physics, Charles University in Prague
• University centre for mathematical modelling, applied analysis and computational mathematics (MathMAC)
• ERC-CZ project Implicitly constituted material models: from theory through model reduction to efficient numerical methods
• Nečas centre for mathematical modelling
• Nečas centre for mathematical modelling -- Lecture notes

List of publications

• Průša, V., Rajagopal, K. R., and Wineman, A.: Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters. Math. Mech. Solids, 0(0):10812865221081519, 2022. 10.1177/10812865221081519.
• Dostalík, M. and Průša, V.: Non-linear stability and non-equilibrium thermodynamics--there and back again. J. Non-Equilib. Thermodyn., 47(2):205--215, 2022. 10.1515/jnet-2021-0076.
• Pražák, D., Průša, V., and Tůma, K.: A note on parametric resonance induced by a singular parameter modulation. Int. J. Non-Linear Mech., 139:103893, 2022. 10.1016/j.ijnonlinmec.2021.103893.
• Dostalík, M., Průša, V., and Rajagopal, K. R.: Unconditional finite amplitude stability of a fluid in a mechanically isolated vessel with spatially non-uniform wall temperature. Contin. Mech. Thermodyn., 33:515--543, 2021. 10.1007/s00161-020-00925-w.
• Dostalík, M., Průša, V., and Stein, J.: Unconditional finite amplitude stability of a viscoelastic fluid in a mechanically isolated vessel with spatially non-uniform wall temperature. Math. Comput. Simulat., 189:5--20, 2021. 10.1016/j.matcom.2020.05.009.
• Bulíček, M., Málek, J, Průša, V., and Süli, E.: On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response. SIAM J. Math. Anal., 53(4):3985--4030, 2021. 10.1137/20M1384452.
• Dostalík, M., Matyska, C., and Průša, V.: Weakly nonlinear analysis of Rayleigh--Bénard convection problem in extended Boussinesq approximation. Appl. Math. Comput., 408:126374, 2021. 10.1016/j.amc.2021.126374.
• Průša, V. and Tůma, K.: Temperature field and heat generation at the tip of a cutout in a viscoelastic solid body undergoing loading. Appl. Eng. Sci., 6:100054, 2021. 10.1016/j.apples.2021.100054.
• Průša, V. and Rajagopal, K. R.: Implicit type constitutive relations for elastic solids and their use in the development of mathematical models for viscoelastic fluids. Fluids, 6(3), 2021. 10.3390/fluids6030131.
• Dostalík, M., Málek, J., Průša, V., and Süli, E.: A simple construction of a thermodynamically consistent mathematical model for non-isothermal flows of dilute compressible polymeric fluids. Fluids, 5(3):133, 2020. 10.3390/fluids5030133.
• Cichra, D. and Průša, V.: A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation. Math. Mech. Solids, 25(12):1081286520932205, 2020. 10.1177/1081286520932205.
• Cehula, J. and Průša, V.: Computer modelling of origami-like structures made of light activated shape memory polymers. Int. J. Eng. Sci., 150:103235, 2020. 10.1016/j.ijengsci.2020.103235.
• Průša, V., Rajagopal, K. R., and Tůma, K.: Gibbs free energy based representation formula within the context of implicit constitutive relations for elastic solids. Int. J. Non-Linear Mech., 121:103433, 2020. 10.1016/j.ijnonlinmec.2020.103433.
• Dostalík, M., Průša, V., and Tůma, K.: Finite amplitude stability of internal steady flows of the Giesekus viscoelastic rate-type fluid. Entropy, 21(12), 2019. 10.3390/e21121219.
• Bulíček, M., Málek, J., and Průša, V.: Thermodynamics and stability of non-equilibrium steady states in open systems. Entropy, 21(7), 2019. 10.3390/e21070704.
• Janečka, A., Málek, J., Průša, V., and Tierra, G.: Numerical scheme for simulation of transient flows of non-newtonian fluids characterised by a non-monotone relation between the symmetric part of the velocity gradient and the Cauchy stress tensor. Acta Mech., 230(3):729--747, 2019. 10.1007/s00707-019-2372-y.
• Tůma, K., Stein, J., Průša, V., and Friedmann, E.: Motion of the vitreous humour in a deforming eye--fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid. Appl. Math. Comput., 335:50--64, 2018. 10.1016/j.amc.2018.04.030.
• Málek, J., Průša, V., Skřivan, T., and Süli, E.: Thermodynamics of viscoelastic rate-type fluids with stress diffusion. Phys. Fluids, 30(2):023101, 2018. 10.1063/1.5018172.
• Hron, J., Miloš, V., Průša, V., Souček, O., and Tůma, K.: On thermodynamics of viscoelastic rate type fluids with temperature dependent material coefficients. Int. J. Non-Linear Mech., 95:193--208, 2017. 10.1016/j.ijnonlinmec.2017.06.011.
• Průša, V., Řehoř, M., and Tůma, K.: Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots. Z. angew. Math. Phys., 68(1):1--13, 2017. 10.1007/s00033-017-0768-x.
• Řehoř, M., Průša, V., and Tůma, K.: On the response of nonlinear viscoelastic materials in creep and stress relaxation experiments in the lubricated squeeze flow setting. Phys. Fluids, 28(10):103102, 2016. 10.1063/1.4964662.
• Janečka, A., Průša, V., and Rajagopal, K. R.: Euler--Bernoulli type beam theory for elastic bodies with nonlinear response in the small strain range. Arch. Mech., 68:3--25, 2016.
• Průša, V. and Rajagopal, K. R.: On the response of physical systems governed by nonlinear ordinary differential equations to step input. Int. J. Non-Linear Mech., 81:207--221, 2016. 10.1016/j.ijnonlinmec.2015.10.013.
• Řehoř, M. and Průša, V.: Squeeze flow of a piezoviscous fluid. Appl. Math. Comput., 274(C):414--429, 2016. 10.1016/j.amc.2015.11.008.
• Yuan, Z., Průša, V., Rajagopal, K. R., and Srinivasa, A.: Vibrations of a lumped parameter mass–spring–dashpot system wherein the spring is described by a non-invertible elongation-force constitutive function. Int. J. Non-Linear Mech., 76:154--163, 2015. 10.1016/j.ijnonlinmec.2015.06.009.
• Perlácová, T. and Průša, V.: Tensorial implicit constitutive relations in mechanics of incompressible non-Newtonian fluids. J. Non-Newton. Fluid Mech., 216:13--21, 2015. 10.1016/j.jnnfm.2014.12.006.
• Souček, O., Průša, V., Málek, J., and Rajagopal, K. R.: On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures. Acta Mech., 225(11):3157--3186, 2014. 10.1007/s00707-013-1038-4.
• Janečka, A. and Průša, V.: The motion of a piezoviscous fluid under a surface load. Int. J. Non-Linear Mech., 60:23--32, 2014. 10.1016/j.ijnonlinmec.2013.12.006.
• Průša, V. and Rajagopal, K. R.: On models for viscoelastic materials that are mechanically incompressible and thermally compressible or expansible and their Oberbeck--Boussinesq type approximations. Math. Models Meth. Appl. Sci., 23(10):1761--1794, 2013. 10.1142/S0218202513500516.
• Průša, V., Rajagopal, K. R., and Saravanan, U.: Fidelity of the estimation of the deformation gradient from data deduced from the motion of markers placed on a body that is subject to an inhomogeneous deformation field. J. Biomech. Eng., 135(8):081004, 2013. 10.1115/1.4023629.
• Průša, V. and Rajagopal, K. R.: A note on the modelling of incompressible fluids with material moduli dependent on the mean normal stress. Int. J. Non-Linear Mech., 52:41--45, 2013. 10.1016/j.ijnonlinmec.2013.01.003.
• Průša, V. and Rajagopal, K. R.: On implicit constitutive relations for materials with fading memory. J. Non-Newton. Fluid Mech., 181--182:22--29, 2012. 10.1016/j.jnnfm.2012.06.004.
• Průša, V., Rajagopal, K. R., and Srinivasan, S.: Role of pressure dependent viscosity in measurements with falling cylinder viscometer. Int. J. Non-Linear Mech., 47(7):743--750, 2012. 10.1016/j.ijnonlinmec.2012.02.001.
• Průša, V. and Rajagopal, K. R.: Flow of an electrorheological fluid between eccentric rotating cylinders. Theor. Comput. Fluid Dyn., 26:1--21, 2012. 10.1007/s00162-011-0224-z.
• Průša, V. and Rajagopal, K. R.: A note on the decay of vortices in a viscous fluid. Meccanica, 46(4):875--880, 2011. 10.1007/s11012-010-9347-3.
• Průša, V. and Rajagopal, K. R.: Jump conditions in stress relaxation and creep experiments of Burgers type fluids: A study in the application of Colombeau algebra of generalized functions. Z. angew. Math. Phys., 62(4):707--740, 2011. 10.1007/s00033-010-0109-9.
• Karra, S., Průša, V., and Rajagopal, K. R.: On Maxwell fluids with relaxation time and viscosity depending on the pressure. Int. J. Non-Linear Mech., 46(6):819--827, 2011. 10.1016/j.ijnonlinmec.2011.02.013.
• Hron, J., Málek, J., Průša, V., and Rajagopal, K. R.: Further remarks on simple flows of fluids with pressure-dependent viscosities. Nonlinear Anal.-Real World Appl., 12(1):394--402, 2011. 10.1016/j.nonrwa.2010.06.025.
• Málek, J., Průša, V., and Rajagopal, K. R.: Generalizations of the Navier--Stokes fluid from a new perspective. Int. J. Eng. Sci., 48(12):1907--1924, 2010. 10.1016/j.ijengsci.2010.06.013.
• Průša, V.: Revisiting Stokes first and second problems for fluids with pressure dependent viscosities. Int. J. Eng. Sci., 48(12):2054--2065, 2010. 10.1016/j.ijengsci.2010.04.009.
• Průša, V.: On the influence of boundary condition on stability of Hagen--Poiseuille flow. Comput. Math. Appl., 57(5):763--771, 2009. 10.1016/j.camwa.2008.09.043.
• Průša, V.: Sufficient conditions for monotone linear stability of steady and oscillatory Hagen--Poiseuille flow. SIAM J. Appl. Math., 67(2):354--363, 2007. 10.1137/060652506.

Last modified: 13 June 2022