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Traditional session of MIAN-PDMI "Differential Equations and Dynamical Systems"
May 14, 2023 17:20–17:40
 


Достаточные условия S-образности функции Баклея–Леверетта

N. V. Rastegaev

Saint Petersburg State University
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MP4 479.7 Mb

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References
  1. Buckley, S. E. and Leverett, M., “Mechanism of fluid displacement in sands”, Transactions of the AIME, 146:01 (1942), 107–116
  2. Oleinik, O. A., “Razryvnye resheniya nelineinykh differentsialnykh uravnenii”, Uspekhi matematicheskikh nauk, 12:3(75) (1957), 3–73
  3. Gelfand, I. M., “Nekotorye zadachi teorii kvazilineinykh uravnenii”, Uspekhi matematicheskikh nauk, 14:2(86) (1959), 87–158
  4. Johansen, T. and Winther, R., “The solution of the Riemann problem for a hyperbolic system of conservation laws modeling polymer flooding”, SIAM journal on mathematical analysis, 19:3 (1988), 541–566
  5. Castañeda, P., Furtado, F. and Marchesin, D., “The convex permeability three-phase flow in reservoirs”, IMPA Preprint Série E-2258, 2013, 1–34
  6. Bakharev, F., Enin, A., Petrova, Y. and Rastegaev, N., Impact of dissipation ratio on vanishing viscosity solutions of the Riemann problem for chemical flooding model, arXiv preprint, 2021, arXiv: 2111.15001
  7. Castañeda, P., “Dogma: S-shaped”, Math Intelligencer, 38 (2016), 10–13
  8. Rastegaev, N., On the sufficient conditions for the S-shaped Buckley-Leverett function, arXiv preprint, 2023, arXiv: 2303.16803
 
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