Publications

Articles in international scientific journals

• M. Dalla Riva, P. Luzzini, P. Musolino. (2022) Multi-parameter analysis of the obstacle scattering problem. Inverse Problems, No.38(5), DOI: 10.1088/1361-6420/ac5eea. Repository Link.
• P. Musolino, G. Mishuris. (2022) Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, No.380, DOI: 10.1098/rsta.2022.0159. Repository Link.
• M. Dalla Riva, P. Luzzini, P. Musolino. (2022) Shape analyticity and singular perturbations for layer potential operators. ESAIM Math. Model. Numer. Anal., No.56(6), p. 1889 - 1910, DOI: 10.1051/m2an/2022057. Repository Link.
• M. J. Nieves, P. Livasov, G. Mishuris. (2022) Dynamic fracture regimes for initially prestressed elastic chains. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, No.380, DOI: 10.1098/rsta.2021.0395. Repository Link.
• M. J. Nieves, A. B. Movchan. (2022) Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, No.380, DOI: 10.1016/j.euromechsol.2023.105070.
• M. J. Nieves, A. B. Movchan. (2022) Meso-scale method of asymptotic analysis of elastic vibrations in periodic and non-periodic multi-structures. The Quarterly Journal of Mechanics and Applied Mathematics, Volume 75, p. 171-214 DOI: 10.1093/qjmam/hbac011.
• V. Maz'ya, M. J. Nieves, A. B. Movchan. (2022) Mesoscale Asymptotic Approximations in the Dynamics of Solids with Defects. Journal of Mathematical Sciences, No.268, p. 443-457 DOI: 10.1007/s10958-022-06214-y.
• G. Mikhasev, M. Botogova, V. Eremeev. (2022) Anti-plane waves in an elastic thin strip with surface energy. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, No.380, DOI: 10.1098/rsta.2021.0373. Repository Link.
• I. B. Movchan, A. A. Yakovleva, V. Frid, A. B. Movchan, Z. I. Shaygallyamova. (2022) Modelling of seismic assessment for large geological systems. Philosophical Transactions of the Royal Society A, No.380, DOI: 10.1098/rsta.2021.0393.
• L. Ephremidze, A. Saatashvili, I. M. Spitkovsky. (2022) ON J‑UNITARY MATRIX POLYNOMIALS. Journal of Mathematical Sciences, No.9, 266, 196–209, DOI: 10.1007/s10958-022-05878-w. Repository Link.
• G. Da Fies, D. Peck, M. Dutko, G. Mishuris. (2022) A temporal averaging–based approach to toughness homogenisation in heterogeneous material. Mathematics and Mechanics of Solids, DOI: 10.1177/10812865221117553.
• V. A. Eremeyev, M. Lazar. (2022) Strong ellipticity within the Toupin–Mindlin first strain gradient elasticity theory. Mechanics Research Communications, Volume 124, 103944, DOI: 10.1016/j.mechrescom.2022.103944.
• A. Nobili, E. Radi. (2022) Hamiltonian/Stroh formalism for anisotropic media with microstructure. Proceedings of the Royal Society A, Volume 380, DOI: 10.1098/rsta.2021.0374.
• V. M. Adukov, N. V. Adukova, G. Mishuris. (2022) An explicit Wiener–Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package. Proceedings of the Royal Society A, Volume 478, DOI: 10.1098/rspa.2021.0941.
• M. Wrobel, M. Dutko, G. Mishuris, P. Papanastasiou. (2023) On crack propagation in weak geomaterials: Revisiting the superdislocation model in the context of hydraulic fracture. International Journal of Engineering Science, No.191, DOI: 10.1016/j.ijengsci.2023.103878. Repository Link.
• G. Vitucci, D. De Tommasi, G. Mishuris. (2023) On the mechanical role of intra-articular pressurization in damaged human joints. European Journal of Mechanics-A/Solids, No.100, DOI: 10.1016/j.euromechsol.2022.104866. Repository Link.
• G. Carta, M.J. Nieves, M. Brun. (2023) Lamb waves in discrete homogeneous and heterogeneous systems: Dispersion properties, asymptotics and non-symmetric wave propagation. European Journal of Mechanics-A/Solids, No.100, DOI: 10.1016/j.euromechsol.2022.104695. Repository Link.
• G. Carta, M.J. Nieves, M. Brun. (2023) Forcing the silence of the Lamb waves: Uni-directional propagation in structured gyro-elastic strips and networks. European Journal of Mechanics - A/Solids, No.101, DOI: 10.1016/j.euromechsol.2023.105070.
• G. Mikhasev, B. Erbaş, V. Eremeyev. (2023) Anti-plane shear waves in an elastic strip rigidly attached to an elastic half-space. International Journal of Engineering Science, No.184, DOI: 10.1016/j.ijengsci.2022.103809. Repository Link.
• V. Eremeyev. (2023) Minimal surfaces and conservation laws for bidimensional structures. Mathematics and Mechanics of Solids, No.28(1), DOI: 10.1177/10812865221108374. Repository Link.
• M. Tzibulsky, V. Frid. (2023) Features of the Physical-Mechanical Properties and Chemical Composition of Chert Gravels. Minerals, No.13(4), 455, DOI: 10.3390/jmse10121923. Repository Link.
• G. Giorgadze, G. Kakulashvili. (2023) On the Parameter Problem of the Schwarz–Christoffel Mapping and Moduli of Quadrilaterals. Computational Methods and Function Theory, DOI: 10.1007/s40315-022-00476-y. Repository Link.
• V. Adukov, G. Mishuris. (2023) Utilization of the ExactMPF package for solving a discrete analogue of the nonlinear Schrödinger equation by the inverse scattering transform method. Proceedings of the Royal Society A, Volume 479, DOI: 10.1098/rspa.2022.0144.
• D. Peck, G. Da Fies. (2023) Impact of the tangential traction for radial hydraulic fracture. European Journal of Mechanics - A/Solids, Volume 100, 104896, DOI: 10.1016/j.euromechsol.2022.104896.
• V. Frid, A. Rabinovitch, D. Bahat, U. Kushnir. (2023) Fracture electromagnetic radiation induced by a seismic active zone (in the vicinity of Eilat City, Southern Israel). Remote Sensing, No.15(14), DOI: 10.3390/rs15143639.
• V. Frid, U. Kushnir. (2023) Spectrum-Based Logistic Regression Modeling for the Sea Bottom Soil Categorization. Appl. Sciences, No.13(14), DOI: 10.3390/app13148131.
• M. Dalla Riva, P. Luzzini, P. Musolino. (2023) Singular behavior for a multi-parameter periodic Dirichlet problem. Asymptotic Analysis, No.134(3), 1-20 DOI: 10.3233/ASY-231831, arXiv link.
• V. A. Eremeyev, D. Scerrato, V. Konopińska-Zmysłowska. (2023) Ellipticity in couple-stress elasticity. Z. Angew. Math. Phys., 74., 18, DOI: 10.1007/s00033-022-01913-7, Repository, mostwiedzy.pl.
• M. Dalla Riva, G. Mishuris, P. Musolino. (2023) A degenerating Robin-type traction problem in a periodic domain. Math. Model. Anal., 28., 3, DOI: 10.3846/mma.2023.17681.
• P. Musolino, M. Dutko, G. Mishuris (2023) Asymptotic analysis of perturbed Robin problems in a planar domain. Electronic Journal of Differential Equations., Volume 23, No.57, 1-21 DOI: 10.58997/ejde.2023.57.
• R. Bramati, M. Dalla Riva, P. Luzzini, P. Musolino (2024) The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation. Adv. Differential Equations., 29(1/2)., 27-68, DOI: 10.57262/ade029-0102-27.
• L. Abatangelo, C. Léna, P. Musolino (2024) Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: The higher dimensional case. Nonlinear Analysis., Volume 238, 113391, DOI: 10.1016/j.na.2023.113391.
• I. Argatov, X. Jin, G. Mishuris (2023) Atomic force microscopy-based indentation of cells: modelling the effect of a pericellular coat. Journal of the Royal Society Interface., Volume 20, 199, DOI: 10.1098/rsif.2022.0857.
• S. Das, V. Frid, A. Rabinovitch, D. Bahat, U. Kushnir (2024) Insights into the Dead Sea Transform Activity through the study of fracture-induced electromagnetic radiation (FEMR) signals before the Syrian-Turkey earthquake (Mw-6.3) on 20.2.2023. Scientific Reports., 14, 4579, DOI: 10.1038/s41598-024-54935-8.
• V. A. Eremeyev (2024) Surface finite viscoelasticity and surface anti-plane waves. International Journal of Engineering Science, Volume 196, 104029, DOI: 10.1016/j.ijengsci.2024.104029.
• E. Reccia, V. A. Eremeyev (2024) On nonlinear rheology of masonries and granular media. International Journal of Engineering Science, Volume 198, 104053, 10.1016/j.ijengsci.2024.104053.
• D. Volchok, V. Danishevskyy, S. Slobodianiuk, I. Kuchyn (2023) Fuzzy sets application in the problems of structural mechanics and optimal design. Acta Mechanica, Volume 234, p. 6191–6204, DOI: 10.1007/s00707-023-03713-0.
• M. Nethercote, A. Kisil, R. Assier (2023) Diffraction of acoustic waves by multiple semi-infinite arrays. The Journal of the Acoustical Society of America, 154, p. 1493–1504, DOI: 10.1121/10.0020844.
• M. Dalla Riva, P. Luzzini, R. Molinarolo, P. Musolino (2024) Multi-parameter perturbations for the space-periodic heat equation. Communications on Pure and Applied Analysis, 23(2), DOI: 10.3934/cpaa.2024004 Repository, arxiv.org.
• M. Nieves, B. Sharma (2024) Interaction of in-plane waves with a structured penetrable line defect in an elastic lattice. International Journal of Engineering Science, Volume 197, 104011, DOI: 10.1016/j.ijengsci.2023.104011 Repository, arxiv.org.
• T. Shugailo, A. Nobili, G. Mishuris. (2023) A mechanical model for thin sheet straight cutting in the presence of an elastic support. International Journal of Engineering Science, Volume 193, 103964, DOI: 10.1016/j.ijengsci.2023.103964.
• V. Eremeyev, I. Elishakoff. (2023) On rotary inertia of microstuctured beams and variations thereof. Mechanics Research Communications, Volume 135, 104239, DOI: 10.1016/j.mechrescom.2023.104239.
• M. Malikan, S. Dastjerdi, V. Eremeyev and H. M. Sedighi. (2023) On a 3D material modelling of smart nanocomposite structures. International Journal of Engineering Science, Volume 193, 103966, DOI: 10.1016/j.ijengsci.2023.103966.
• I. Berinskii, V. Eremeyev. (2023) On dynamics of origami-inspired rod. International Journal of Engineering Science, Volume 193, 103944, DOI: 10.1016/j.ijengsci.2023.103944.
• M. Wichrowski, P. Krzyżanowski, L. Heltai, S. Stupkiewicz. (2023) Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid-structure interaction problems. International Journal for Numerical Methods in Engineering, 124, 5446-5470, DOI: arXiv:2305.08986.
• D. Volchok, V. Danishevskyy, S. Slobodianiuk, I. Kuchyn. (2023) Fuzzy sets application in the problems of structural mechanics and optimal design. Acta Mech, Volume 234, p. 6191–6204, DOI: 10.1007/s00707-023-03713-0, Repository Link.
• Z. Zhuravlova, I. Istenes, D. Peck, Y. Protserov, N. Vaysfeld. (2024) Hidden ring crack in a rotating hollow cylinder under torsion. International Journal of Engineering Science, Volume 194, 103976, DOI: 10.1016/j.ijengsci.2023.103976.
• I. Argatov, X. Jin, G. Mishuris. (2024) AFM-based adhesive indentation of polymer brushes: A phenomenological approach. International Journal of Adhesion and Adhesives, Volume 128, 103555, DOI: 10.1016/j.ijadhadh.2023.103555.
• J. Chróścielewski, V. Eremeyev. (2024) Can we really solve an arch stability problem? International Journal of Engineering Science, Volume 194, 103968, DOI: 10.1016/j.ijengsci.2023.103968.
• V. Eremeyev, K. Naumenko. (2024) M-integral for finite anti-plane shear of a nonlinear elastic matrix with rigid inclusions. International Journal of Engineering Science, Volume 196, 104009, DOI: 10.1016/j.ijengsci.2023.104009, ScienceDirect Link.

Books and book chapters

• G. Da Fies, M. Dutko, D. Peck. (2023) Averaging-Based Approach to Toughness Homogenisation for Radial Hydraulic Fracture. Mechanics of Heterogeneous Materials. Advanced Structured Materials, No.195, p.69-103, DOI: 10.1007/978-3-031-28744-2_5. Repository Link.
• M. J. Nieves, A. B. Movchan. (2023) Asymptotic Theory of Generalised Rayleigh Beams and the Dynamic Coupling. Advanced Structured Materials, Volume 187, DOI: 10.1007/978-3-031-24141-3_11.
• M. Dalla Riva, P. Luzzini, P. Musolino. (2023) A Perturbation Result for a Neumann Problem in a Periodic Domain. Analysis, Applications, and Computations. ISAAC 2021. Trends in Mathematics, p.271–282, DOI: 10.1007/978-3-031-36375-7_20 Repository, arxiv.org.

Publications in local scientific Journals

• L. Ephremidze, A. Gamkrelidze, I. Spitkovsky. (2022) On the spectral factorization of singular, noisy, and large matrices by Janashia-Lagvilava method. Transactions of A. Razmadze Mathematical Institute, Volume 176, (3) p. 361-366 Link to the published paper.
• G. Giorgadze. (2022) On the factorization and partial indices of piecewise constant matrix functions. Transactions of A. Razmadze Mathematical Institute, Volume 176, (3) p. 367-372 Link to the published paper.
• M. Dalla Riva, G. Mishuris, P. Musolino. (2022) Integral equation method for a Robin-type traction problem in a periodic domain. Transactions of A. Razmadze Mathematical Institute, Volume 176, (3) p. 349-360 Link to the published paper, arXiv.
• V.M. Adukov, N.V. Adukova ,G. Mishuris. (2023) Note on exact factorization algorithm for matrix polynomials. Bulletin of the South Ural State Univeristy. Ser. Mathematical Modelling, Programming & Computer Software, Volume 16, (1) p. 48-59.

Supplementary materials and other data

• L. Ephremidze, G. Mishuris, I. Spitkovsky. (2023) On the exact spectral factorization of rational matrix functions with applications to paraunitary filter banks. Cornell University. Journal contribution, DOI: 10.48550/arxiv.2312.03518.
• I. Argatov, X. Jin, G. Mishuris. (2023) Supplimentary material from Atomic force microscopy-based indentation of cells: modelling the effect of a pericellular coat. The Royal Society. Journal contribution, DOI: 10.6084/m9.figshare.22067091.
• V. M. Adukov, G. Mishuris. (2023) Utilization of the ExactMPF package for solving a discrete analogue of the nonlinear Schrödinger equation by the inverse scattering transform method. The Royal Society. Journal contribution, DOI: 10.6084/m9.figshare.21828119.
• M. J. Nieves, A. B. Movchan. (2023) Auxiliary results and data supporting the manuscript from Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions. The Royal Society. Journal contribution, DOI: 10.6084/m9.figshare.20651167.v1, DOI: 10.6084/m9.figshare.20651167.v2.
• V. M. Adukov, N. V. Adukova, G. Mishuris. (2022) test case from An explicit Wiener–Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package. The Royal Society. Journal contribution, DOI: 10.6084/m9.figshare.20130826.
• V. M. Adukov, N. V. Adukova, G. Mishuris. (2022) Example_3.1-3.2 from An explicit Wiener–Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package. The Royal Society. Journal contribution, DOI: 10.6084/m9.figshare.20130829.
• V. M. Adukov, N. V. Adukova, G. Mishuris. (2022) Example_4.4 from An explicit Wiener–Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package. The Royal Society. Journal contribution, DOI: 10.6084/m9.figshare.20130832.
• V. M. Adukov, N. V. Adukova, G. Mishuris. (2022) Example_4.1-4.3 from An explicit Wiener–Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package. The Royal Society. Journal contribution, DOI: 10.6084/m9.figshare.20130835.v1.
• V. M. Adukov, N. V. Adukova, G. Mishuris. (2022) listing from An explicit Wiener–Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package. The Royal Society. Journal contribution, DOI: 10.6084/m9.figshare.20130838.v1.
• V. M. Adukov, N. V. Adukova, G. Mishuris. (2022) Example_4.5 from An explicit Wiener–Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package. The Royal Society. Journal contribution, DOI: 10.6084/m9.figshare.20130841.