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2024
- T. Mel’nyk and C. Rohde, “Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains,” 2024. [Online]. Available: https://arxiv.org/html/2404.07538v1
- T. Mel’nyk and C. Rohde, “Asymptotic expansion for convection-dominated transport in a thin graph-like junction.,” Analysis and Applications, vol. 22 (05), pp. 833–879, 2024, doi: https://doi.org/10.1142/S0219530524500040.
- T. A. Mel’nyk and T. Durante, “Spectral problems with perturbed Steklov conditions in thick junctions with branched structure.,” Applicable Analysis, pp. 1–26, 2024, doi: https://doi.org/10.1080/00036811.2024.2322644.
- T. Mel’nyk and C. Rohde, “Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks,” J. Math. Anal. Appl., vol. 529, no. 1, Art. no. 1, 2024, doi: 10.1016/j.jmaa.2023.127587.
- T. Mel’nyk and C. Rohde, “Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: strong boundary interactions,” Asymptotic Analysis, vol. 137, pp. 27–52, 2024, doi: 10.3233/ASY-231876.
2023
- T. A. Mel’nyk, Complex Analysis. Springer Nature Switzerland, 2023. doi: https://doi.org/10.1007/978-3-031-39615-1.
- T. A. Mel’nyk, “Asymptotic analysis of spectral problems in thick junctions with the branched fractal structure,” Mathematical Methods in the Applied Sciences, vol. 46, no. 3, Art. no. 3, 2023, doi: https://doi.org/10.1002/mma.8692.