Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Phone: +7 (38822) 2 64 39
Fax: +7 (38822) 2 67 35
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,
тunknown free boundary,
local uniqueness,
approximation of an integral operator,
a priori estimates,
method of continuity,
unbounded porous layer,
contact problems,
convergence rate,
cavitation.
UDC: 517.946, 517.958, 517.958:531.32, 517.958.532, 519.634 MSC: 30C20, 30C25, 30C30, 30C35, 30C70, 35B37, 35Q35, 35R35, 49K20, 49Q10, 65D32, 65E05, 76B03, 76B07, 76B10, 76B75, 76M30, 76M40, 76S05, 86A05
Subject:
Contact Problems of Fluid Filtration, Shallow–Water Equations.
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
