Publications

Journal publications:

1. B. Muha, Z. Tutek, On a free piston problem for Stokes and Navier-Stokes equations,  Glasnik Matematicki, Vol. 47 (2), 381-400, 2012 (pdf,  journal)

2. B. Muha, Z. Tutek, Numerical analysis of a free piston problem, Mathematical Communication, Vol. 15 (2), 573-585, 2010 (pdf, journal)

3. B. Muha, Z. Tutek, On a free piston problem for potential ideal fluid flow, Mathematical Methods in the Applied Sciences, Vol. 35 (14), 1721-1736, 2012 (pdf, journal)

4. B. Muha, Z. Tutek, Note on evolutionary free piston problem for Stokes equations with slip boundary conditions,  Communications on Pure and Applied Analysis, Vol. 13 (4), 1629-1639, 2014, (pdf, journal)

5. S. Canic, B. Muha, M. Bukac, Stability of the kinematically coupled b-scheme for fluid-structure interaction problems in hemodynamics,  International Journal of Numerical Analysis & Modeling, Vol. 12 (1), 54-80, 2015 (arXiv, journal)

6. B. Muha, S. Canic, Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls,  Archives for Rational Mechanics and Analysis,  Vol. 207 (3), 919-968, 2013 (arXiv, journal)

7. B. Muha, A note on the Trace Theorem for domains which are locally subgraph of H\" older continuous function, Networks and Heterogeneous Media, Vol. 9 (1), 191-196, 2014 (pdf, journal)

8. B. Muha, S. Canic, Existence of a solution to a  fluid-multi-layered-structure interaction problem, Journal of Differential Equations, Vol. 256 (2), 658-706, 2014 (arXiv, journal)

9. M. Bukac, S. Canic, R. Glowinski, B. Muha, A. Quaini, A Modular, Operator Splitting Scheme for Fluid-Structure Interaction Problems with Thick Structures, International Journal for Numerical Methods in Fluids, Vol. 74 (8), 577-604, 2014 (arXiv, journal)

10. B. Muha, S. Canic, A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data: a constructive existence proof,  Communications in Information and Systems(CIS), Vol. 13 (3), 357-397, 2013, Issue Dedicated to the 70th Birthday of Marshall Slemrod (pdf, journal)

11. M. Bukac, S. Canic, B. Muha, A partitioned scheme for fluid-composite structure interaction problems, Journal of Computational Physics, Vol. 281, 493-517, 2015. (arXiv, journal)

12. B. Muha, A note on optimal regularity and regularizing effects of point mass coupling for a heat-wave system, Journal of Mathematical Analysis and Applications, Vol. 425 (2), 1134–1147, 2015 (arXiv, journal)

13. B. Muha, S. Canic, Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy, Interfaces and Free Boundaries Vol. 17 (4), 465-495, 2015 (pdf, journal)

14. S. Mabuza, S. Canic, B. Muha, Modeling and analysis of reactive solute transport in deformable channels with wall adsorption-desorption,  Mathematical Methods in the Applied Sciences Vol. 39 (7), 1780-1802, 2015  (pdf, journal)

15. B. Muha, S. Canic, Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition,  Journal of Differential Equations Vol. 260 (12), 8550–8589, 2016 (arXiv, journal)

16. M. Bukac, B. Muha, Stability and convergence analysis of the kinematically coupled scheme and its extensions for the fluid-structure interaction, SIAM Journal on Numerical Analysis Vol. 54 (5):3032-3061, 2016 (arXiv, journal)

17. M. Bukac, S. Canic, B. Muha, A nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stents,  Applied Mathematics & Optimization Vol. 73 (3), 433-473, 2016 (pdf, journal)

18. H. Al Baba, N. V. Chemetov, S. Necasova, B. Muha, Strong solutions in L2 framework for fluid-rigid body interaction problem - mixed case, Topological Methods in Nonlinear Analysis 52 (1), 337-350, 2018 (arXiv, journal)

19. N. V. Chemetov, S. Necasova, B. Muha, Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition, Journal of Mathematical Physics 60, 011505 (2019) (arXiv, journal)

20. B. Muha, S. Canic, A generalization of the Aubin-Lions-Simon lemma for problems on moving domains, Journal of Differential Equations Vol. 266 (12):8370-8418, 2019 (arXiv, journal)

21. S. Canic, M. Ljulj, M. Galic, B. Muha, J. Tambaca, Y. Wang, Analysis of a linear 3D fluid-mesh-shell interaction problem, Zeitschrift für Angewandte Mathematik und Physik 70:44, 2019 (pdf, journal)

22. B. Muha, Š. Nečasová, A. Radošević, A uniqueness result for 3D incompressible fluid-rigid body interaction problem, Journal of Mathematical Fluid Mechanics 23, 1 (2021) (arXiv, journal)

23. B. Muha, S. Schwarzacher, Existence and regularity for weak solutions for a fluid interacting with a non-linear shell in three dimensions, Ann. Inst. H. Poincaré Anal. Non Linéaire  vol. 39 (2022), no. 6, pp. 1369–1412   (arXiv, journal)

24. S. Čanić, M. Galić, B. Muha, Analysis of a 3d nonlinear, moving boundary problem describing fluid-mesh-shell interaction, Transactions of the American Mathematical Society Vol. 373 (9):6621-6681, 2020 (arXiv, journal)

25. M. Bukal, B. Muha, Rigorous derivation of a linear sixth-order thin film equation as a reduced model for thin fluid -- thin structure interaction problems,  Applied Mathematics & Optimization  Vol. 84(2), 2245-2288, 2021 (arXiv, journal)

26. G. Avalos, P. G. Geredeli, B. Muha, Wellposedness, Spectral Analysis and Asymptotic Stability of a Multilayered Heat-Wave-Wave System, Journal of Differential Equations Vol. 269 (9):7129-7156, 2020 (arXiv, journal)

27. H. Al Baba, A. Ghosh, B. Muha, S. Necasova, Lp-strong solution to fluid-rigid body interaction system with Navier slip boundary condition, Journal of Elliptic and Parabolic Equations Vol. 7, 439-489 (2021) (arXiv, journal)

28. T. Cieslak, M. Galic, B. Muha, A model in one-dimensional thermoelasticity, Nonlinear Analysis Vol. 216, 112703, 2022 (arXiv, journal)

29. L. Bociu, S. Čanić, B. Muha, J. Webster, Multilayered Poroelasticity Interacting with Stokes Flow, SIAM Journal on Mathematical Analysis Vol. 53(6), 6243–6279, 2021 (arXiv, journal)

30. E. Clark, N. Katzourakis, B. Muha, Vectorial Variational Problems in L∞ Constrained by the Navier-Stokes Equations, Nonlinearity Vol. 35 (1),  470-491, 2022 (arXiv, journal)

31. L. Bociu, B. Muha, J. Webster, Weak Solutions in Nonlinear Poroelasticity with Incompressible Constituents, Nonlinear Analysis: Real World Applications Vol. 67,  Article 103563, 2022 (arXiv, journal)

32. V. Mácha, B. Muha, Š. Nečasová, A. Roy, S. Trifunović, Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange,  Communications in Partial Differential Equations  Vol. 47 (8), 1591–1635, 2022 (extended version - arXiv, journal)

33. M. Bukač, B. Muha, A. Salgado, Analysis of a diffuse interface method for the Stokes-Darcy coupled problem, ESAIM: Mathematical Modelling and Numerical Analysis Vol. 57 (5), 2623 - 2658, 2023 (arXiv, journal)

34. G. Avalos, P. G. Geredeli, B. Muha, Rational Decay of A Multilayered Structure-Fluid PDE System, Journal of Mathematical Analysis and Application vol. 514 (2), Article 126284, 2022 (arXiv, journal)

35. M. Bukal, B. Muha, Justification of a nonlinear sixth-order thin-film equation as the reduced model for a fluid -- structure interaction problem,  Nonlinearity Vol. 35 (8), 4695–4726, 2022 (arXiv, journal)

36. L. Bociu, B. Muha, J. Webster, The Mathematical Effects of Visco-elasticity in Quasi-static Biot Models, submitted,  Journal of Mathematical Analysis and Application Vol. 527 (2), Article 127462, 2023  (arXiv, journal)

37. T. Cieślak, B. Muha, S. Trifunović, Global weak solutions in nonlinear 3D thermoelasticity, Calculus of Variations and Partial Differential Equations Vol. 63, Article no. 26 (2024) (arXiv, journal)

38.  B. Muha,  Š. Nečasová, A. Radošević, On the regularity of weak solutions to the fluid-rigid body interaction problem, Mathematische Annalen  (arXiv, journal)

39. P. Kunštek, M. Bukač, B. Muha, Mass conservation in the validation of fluid-poroelastic structure interaction solvers (pdf)

40. M. Kampschulte, B. Muha, S. Trifunović, Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts, Journal of Differential Equations Vol. 385, 15 March 2024, Pages 280-324 (arXiv, journal)

41.  J. Kuan, S. Čanić, B. Muha, Existence of a weak solution to a regularized moving boundary fluid-structure interaction problem with poroelastic media, Comptes Rendus. Mécanique (journal)

42.  J. Kuan, S. Čanić, B. Muha, Fluid-poroviscoelastic structure interaction problem with nonlinear coupling (arXiv)

Book chapters: 

1. S. Canic, B. Muha, and M. Bukac, Fluid-Structure Interaction in Hemodynamics: Modeling, Analysis and Numerical Simulation, Invited Contribution to Book "Fluid-Structure Interaction in Biomedical Applications" Eds. T. Bodnar, G.P Galdi, S. Necasova. Springer/Birkhouser. 2014 (ISBN 978-3-0348-0821-7), pp. 79-195 

2. M. Bukac, S. Canic, B. Muha and R. Glowinski, An Operator Splitting Approach to the Solution of Fluid-Structure Interaction Problems in Hemodynamics, in Splitting Methods in Communication and Imaging, Science and Engineering Eds. R. Glowinski, S. Osher, and W. Yin,. Springer, Cham, 2016,   pp. 731-772

3. M. Bukal, B. Muha, A review on rigorous derivation of reduced models for fluid-structure interaction systems, Invited contribution to Book "Waves in Flows" Eds. T. Bodnar, G.P Galdi, S. Necasova. Birkhäuser, 2021 (ISBN: 978-3-030-68144-9), pp. 203-237

Conference proceedings:

1. S. Canic, B. Muha, A nonlinear moving-boundary problem of parabolic-hyperbolic-hyperbolic type arising in fluid-multi-layered structure interaction problems, Hyperbolic Problems: Theory, Numerics, Applications ( Eds: F. Ancona, A. Bressan, P. Marcati, A. Marson), American Institute of Mathematical Sciences (AIMS) Publications, 2014, pp. 389-398

2. M. Bukac, S. Canic, B. Muha, A partitioned scheme for fluid-structure and structure-structure with slip, RIMS Kokyuroku Proceedings of the Workshop "Mathematical Analysis of Viscous Incompressible Fluid", November 14-16, 2016, Kyoto. To appear.