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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2020, Volume 12, Issue 1, Pages 24–30 (Mi vyurm435)

Inverse problem of unsteady incompressible fluid flow in a pipe with a permeable wall
Kh. M. Gamzaev

References

1. E.A. Marshall, E.A. Trowbridge, “Flow of a Newtonian Fluid through a Permeable Tube: The application to the Proximal Renal Tubule”, Bulletin of Mathematical Biology, 36:5–6 (1974), 457–476  crossref
2. S.M. Ross, “A mathematical model of mass transport in a long permeable tube with radial convection”, Journal of Fluid Mechanics, 63:1 (1974), 157–175  crossref
3. C. Pozrikidis, “Stokes flow through a permeable tube”, Archive of Applied Mechanics, 80:4 (2010), 323–333  crossref
4. Q. Zhang, Z. Wang, “Modeling Study on Fluid Flow in Horizontal Perforated Pipes with Wall Influx”, International Journal of Fluid Mechanics Research, 41:6 (2014), 556–566  crossref
5. M. Elshahed, “Blood flow in capillary under starling hypothesis”, Applied Mathematics and Computation, 149:2 (2004), 431–439  crossref
6. P. Muthu, T. Berhane, “Mathematical model of flow in renal tubules”, International Journal of Applied Mathematics and Mechanics, 6:20 (2010), 94–107
7. N.K. Mariamma, S.N. Majhi, “Flow of a Newtonian Fluid in a Blood Vessel with Permeable Wall — A theoretical model”, Computers & Mathematics with Applications, 40:12 (2000), 1419–1432  crossref
8. Kabanikhin S.I., Inverse and Ill-Posed Problems. Theory and Applications, De Gruyter, Germany, 2011, 459 pp.
9. Samarskiy A.A., Vabishchevich P.N., Numerical Methods for Solving Inverse Problems of Mathematical Physics, URSS, LKI Publ., M., 2014, 478 pp. (in Russ.)
10. P.N. Vabishchevich, V.I. Vasil'ev, “Computational algorithms for solving the coefficient inverse problem for parabolic equations”, Inverse Problems in Science and Engineering, 24:1 (2016), 42–59  crossref
11. Kh.M. Gamzaev, “Numerical Solution of Combined Inverse Problem for Generalized Burgers Equation”, Journal of Mathematical Sciences, 221:6 (2017), 833–839  crossref


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