01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords:
Analytical function,
Cristoffel–Schwarz formula,
variational principles of conformal mappings. conformal mapping,
fluid filtration,
incompressible liquid,
simple polygon,
deformation of a polygon,
existence of solution,
òunknown free boundary,
local uniqueness,
approximation of an integral operator,
a priori estimates,
method of continuity,
unbounded porous layer,
contact problems,
convergence rate,
cavitation.
Contact Problems of Fluid Filtration, Shallow–Water Equations.
Biography
June 1996: Gorno-Altaisk State University, Gorno–Altaisk, Russia
Teacher of Mathematic and Informatics
November 2001: Gorno-Altaisk State University, Gorno-Altaisk, Russia
Ph.D. Mathematics (Advisor: Professor, Academician of the Academy of Sciences of Russia Valentin N. Monakhov)
Main publications:
E. V. Gubkina, V. N. Monakhov, “Optimizatsiya form prepyatstvii, obtekaemykh s otryvom strui”, Prikladnaya mekhanika i tekhnicheskaya fizika, 48:3 (2007), 30–39
Y. V. Gubkina, I. B. Davydkin, V. N. Monakhov, “Numerical solution of a problem about the parameters of a conformal mapping”, J. Appl. Industr. Math., 1:2 (2007), 193–200
Y. V. Gubkina, V. N. Monakhov, “Numerical approximation of contact problems of fluid filtration”, Comput. Math. Math. Phys., 44:5 (2004), 894–902
E. V. Gubkina, V. N. Monakhov, “Filtratsiya zhidkosti v neogranichennom plaste s naklonnym vodouporom”, Prikladnaya mekhanika i tekhnicheskaya fizika, 44:1 (2003), 83–94
E. V. Gubkina, “Algoritm chislennoi realizatsii konformnykh otobrazhenii so svobodnymi granitsami”, Dinamika sploshnoi sredy, 2000, no. 116, 26–35
E. V. Gubkina, E. A. Kuzmichyov, M. A. Prokhorovich, A. V. Savvateev, “«Mathematics is Simple» Popularization of Mathematics in Internet”, Math. Ed., 2019, no. 2(90), 46–53
2015
2.
E. V. Gubkina, M. A. Prokhorovich, Ya. M. Radyna, “Generalized Hajłasz–Sobolev classes on ultrametric measure spaces with doubling condition”, Siberian Math. J., 56:5 (2015), 822–826
2013
3.
E. V. Gubkina, M. A. Prokhorovich, E. M. Radyno, “Tochki Lebega i skorost skhodimosti srednikh Steklova dlya klassov Soboleva na ultrametricheskikh prostranstvakh s usloviem udvoeniya”, Doklady NAN Belarusi, 57:2 (2013), 17–19bas-net.by
4.
E. V. Gubkina, K. V. Zabello, M. A. Prokhorovich, E. M. Radyno, “Approksimatsiya Luzina funktsii iz klassov Soboleva na prostranstve mnogomernogo $p$-adicheskogo argumenta”, Problemy fiziki, matematiki i tekhniki, 2013, no. 2, 58–65
E. V. Gubkina, D. N. Oleshkevich, M. A. Prokhorovich, E. M. Radyno, “Approksimatsiya Luzina funktsii iz klassov Soboleva na prostranstve $p$-adicheskikh vektorov”, Doklady NAN Belarusi, 56:3 (2012), 16–18bas-net.by
2009
6.
Y. V. Gubkina, “Numerical algorithm for constructing jet flows of a liquid of the hydrodynamic”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2009, no. 3, 5–13
7.
E. V. Gubkina, “K voprosu o postroenii chislennogo algoritma nekotorykh struinykh techenii”, Mir nauki, kul¬tury, obrazovaniya, 2009, no. 6, 206–210
2008
8.
E. V. Gubkina, V. N. Monakhov, “Optimalnoe upravlenie kavitatsiei”, Doklady Akademii Nauk, 420:2 (2008), 172–175
9.
E. V. Gubkina, V. N. Monakhov, “Beznapornaya nelineinaya filtratsiya zhidkosti v oblastyakh s nepronitsaemymi vklyucheniyami”, Doklady Akademii Nauk, 420:4 (2008), 451–454
2007
10.
E. V. Gubkina, V. N. Monakhov, “Razreshimost nelineinykh granichnykh zadach gidrodinamiki”, Doklady Akademii Nauk, 415:4 (2007), 458–460
11.
E. V. Gubkina, V. N. Monakhov, “Optimizatsiya form prepyatstvii, obtekaemykh s otryvom strui”, Prikladnaya mekhanika i tekhnicheskaya fizika, 48:3 (2007), 30–39
12.
V. N. Monakhov, E. V. Gubkina, “Optimization of the shapes of obstacles in jet-separation flow”, J. Appl. Mech. Tech. Phys., 48:3 (2007), 322–330
2006
13.
E. V. Gubkina, V. N. Monakhov, “Asimptotika svobodnoi granitsy pri filtratsii zhidkosti v neogranichennom poristom plaste”, Doklady Akademii Nauk, 408:5 (2006), 605–608
2007
14.
Y. V. Gubkina, I. B. Davydkin, V. N. Monakhov, “Numerical solution of a problem about the parameters of a conformal mapping”, J. Appl. Industr. Math., 1:2 (2007), 193–200
2004
15.
Y. V. Gubkina, V. N. Monakhov, “Numerical approximation of contact problems of fluid filtration”, Comput. Math. Math. Phys., 44:5 (2004), 894–902
2003
16.
E. V. Gubkina, V. N. Monakhov, “Korrektnost zadachi o parametrakh struinykh techenii idealnoi zhidkosti”, Doklady Akademii Nauk, 391:5 (2003), 595–597
17.
E. V. Gubkina, V. N. Monakhov, “Filtratsiya zhidkosti v neogranichennom plaste s naklonnym vodouporom”, Prikladnaya mekhanika i tekhnicheskaya fizika, 44:1 (2003), 83–94
18.
E. V. Gubkina, V. N. Monakhov, “Liquid filtration in an unbounded water-bearing stratum with an inclined confining bed”, J. Appl. Mech. Tech. Phys., 44:1 (2003), 69–78
2002
19.
E. V. Gubkina, V. N. Monakhov, “Postroenie barernoi krivoi v kontaktnykh zadachakh filtratsii zhidkosti”, Dinamika sploshnoi sredy, 2002, no. 120, 16–21
2001
20.
E. V. Gubkina, V. N. Monakhov, “Prikladnye kontaktnye zadachi filtratsii v poristykh sredakh”, Dinamika sploshnoi sredy, 2001, no. 118, 21–34
2000
21.
E. V. Gubkina, “Algoritm chislennoi realizatsii konformnykh otobrazhenii so svobodnymi granitsami”, Dinamika sploshnoi sredy, 2000, no. 116, 26–35
22.
E. V. Gubkina, V. N. Monakhov, “Ob odnoznachnoi razreshimosti odnogo klassa zadach filtratsii zhidkosti so svobodnymi granitsami v poristykh sredakh”, Regionalnye problemy Sibiri i Dalnego Vostoka. Sbornik nauchnykh trudov. Novosibirsk: In–t matematiki SO RAN, 2000, 9–16
23.
E. V. Gubkina, V. N. Monakhov, “Filtratsiya zhidkosti so svobodnymi granitsami v neogranichennykh oblastyakh”, Prikladnaya mekhanika i tekhnicheskaya fizika, 41:5 (2000), 188–195
24.
E. V. Gubkina, “Metod nepreryvnosti v pri¬kladnykh zadachakh filtratsii zhidkosti v poristykh sredakh”, Matematicheskie zametki YaGU, 2000, no. 2, 13–22
25.
E. V. Gubkina, V. N. Monakhov, “Filtration of a liquid with free boundaries in unbounded regions”, J. Appl. Mech. Tech. Phys., 41:5 (2000), 930–936
2019
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