Publications
[1] E. Bauer, V.A. Kovtunenko, P. Krejcí and G.A. Monteiro, Rate Type hypoplastic differential equations under mixed stress-strain control in biaxial test, in: Modern Achievements in Symmetries of Differential Equations (Symmetry 2022), E. Schulz, S. Moyo and S.V. Meleshko (Eds.), Suranaree University of Technology in Nakhon Ratchasima, Thailand (2023), 59-68 [pdf]
[2] V.A. Kovtunenko, P. Krejci, G.A. Monteiro and J. Runczikova, Hysteresis of implicit equations in hypoplasticity for soil materials with granular hardness degradation, J. Math. Sci. 280 (2024), 3, 453-467 [pdf]
[3] O. Atlasiuk, A. Heibig and A. Petrov, Weak solutions for a singular beam equation, hal-04578854 (2024) [pdf]
[4] J. Runczikova, J. Chleboun, C. Gavioli and P. Krejci, Some remarks on a mathematical model for water flow in porous media with competition between transport and diffusion, arXiv:2405.10751 (2024) [pdf]
[5] C. Gavioli and P. Krejci, Long-time behaviour of a porous medium model with degenerate hysteresis, Phil. Trans. R. Soc. A 382 (2024), 2277, 20230299 [pdf]
[6] C. Gavioli and P. Krejci, Diffusion in porous media with hysteresis and bounded speed of propagation, Z. Angew. Math. Phys. 76 (2025), 3, 118 [pdf]
[7] C. Gavioli and P. Krejci, Degenerate diffusion in porous media with hysteresis-dependent permeability, Discrete Contin. Dyn. Syst. 45 (2025), 5, 1523-1542 [pdf]
[8] C. Gavioli and P. Krejci, Deformable porous media with degenerate hysteresis in gravity field, Math. Eng. 7 (2025), 1, 35-60 [pdf]
[9] E. Bauer, V.A. Kovtunenko, P. Krejci, G.A. Monteiro, L. Paoli and A. Petrov, Modeling the railway track ballast behavior with hypoplasticity, J. Math. Sci. (2025), doi:10.1007/s10958-025-07602-w [pdf]
[10] V.A. Kovtunenko and Y. Renard, Convergence analysis of semi-smooth Newton method for mixed FEM approximations of dynamic two-body contact and crack problems, J. Comput. Appl. Math. 471 (2025), 116722 [pdf]
[11] N. Ayhan, V.A. Kovtunenko, P. Krejci and B.Q. Tang, Time span for dispersive effect in generalized KdV equations, in: Inverse Problems: Modelling and Simulation (Extended Abstracts of the IPMS Conference 2024), A. Hasanov Hasanoglu, R. Novikov, K. Van Bockstal (Eds.) Birkhauser, Cham (2025), submitted [pdf]
[12] V.A. Kovtunenko and Y. Renard, FEM approximation of dynamic contact problem for fracture under fluid volume control using generalized HHT-a and semi-smooth Newton methods, submitted [pdf]
[13] V.A. Kovtunenko and O. Atlasiuk, Poroelastic medium with non-penetrating crack driven by hydraulic fracture: FEM approximation using HHT-a and semi-smooth Newton methods, submitted [pdf]
[14] V.A. Kovtunenko, A. Petrov and Y. Renard, Space-time FEM solution of dynamic contact problem with discontinuous velocity for multiple impact of deformed bar using PDAS method, submitted [pdf]
[15] E. Bauer, V.A. Kovtunenko, P. Krejci, G.A. Monteiro, L. Paoli and A. Petrov, Non-convex sweeping processes in contact mechanics, submitted [pdf]