Publications

• M. Bathory: On compatibility of natural outflow boundary conditions with non-trivial outlet geometry. (in preparation).
• M. Bathory, M. Bulíček and J. Málek: Coupling the Navier-Stokes-Fourier equations with the Johnson-Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis. (accepted in M3AS)
• M. Bathory and U. Stefanelli: Variational resolution of outflow boundary conditions for incompressible Navier-Stokes, Nonlinearity, 35 (2022), 5553.
• M. Bathory: Sharp nonlinear estimates for multiplying derivatives of positive definite tensor fields, Math. Inequal. Appl. 25 (2022), no. 3, 751--769.
• M. Bathory, M. Bulíček and J. Málek: Large data existence theory for a three dimensional unsteady flow of rate-type viscoelastic fluids with stress diffusion, Adv. Nonlinear Anal., 10, 1 (2021), 501--521.
• M. Bathory, M. Bulíček and O. Souček: Existence and qualitative theory for nonlinear elliptic systems with a nonlinear interface condition used in electrochemistry, Z. Angew. Math. Phys. 71 (2020), no. 3, 74.
• M. Bathory, M. Bulíček: Optimal outflow boundary condition for a stationary flow of an incompressible fluid, 2018. (preprint)
• M. Bathory: Outflow Boundary Condition Leading to Minimal Energy Dissipation for an Incompressible Flow, WDS'17 Proceedings, Prague, Matfyzpress, pp. 7–12, 2017.
• M. Bathory: Joint weak type interpolation on Lorentz-Karamata spaces, Math. Inequal. Appl., 21, 2 (2018), 385--419.