Persons: Goncharov, Aleksey Leonidovich

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Goncharov, Aleksey Leonidovich

Candidate of physico-mathematical sciences (2002)

Speciality:

01.01.04 (Geometry and topology)

Birth date:

08.02.1968

E-mail:

Keywords:

bendings theory, Cauchy–Riemann type equations, singular coefficients, generelized analytic functions.

UDC:

513, 517

Subject:

Bendings theory, Cauchy–Riemann type equations with singular coefficients.

Main publications:

Ob izgibaniyakh poverkhnostei polozhitelnoi krivizny s izolirovannoi tochkoi uploscheniya.
O privedenii k kanonicheskomu vidu ellipticheskoi sistemy s izolirovannoi singulyarnoi tochkoi.
Ob izgibaniyakh modelnoi poverkhnosti polozhitelnoi krivizny s izolirovannoi tochkoi uploscheniya.
Ob izgibaniyakh poverkhnostei polozhitelnoi krivizny s izolirovannoi tochkoi uploscheniya.
O postroenii nelokalnykh reshenii obobschennykh sistem Koshi–Rimana s singulyarnoi tochkoi.
O suschestvovanii spetsialnykh izometricheskikh koordinat na poverkhnosti v okrestnosti tochki uploscheniya.
Analog teoremy Liuvillya dlya odnogo klassa sistem tipa Koshi–Rimana s singulyarnymi koeffitsientami.
O razreshimosti osnovnogo integralnogo uravneniya teorii obobschennykh sistem Koshi–Rimana s singulyarnoi tochkoi.
Ob otsenkakh koeffitsientov vtoroi kvadratichnoi formy poverkhnosti polozhitelnoi krivizny s tochkoi uploscheniya.
O gladkosti regulyarnykh reshenii obobschennykh sistem tipa Koshi–Rimana.

	Publications in Math-Net.Ru	Citations
	2006
1.	A. L. Goncharov, “Breakdown of a Liouville theorem for generalized systems of Cauchy-Riemann type with singular coefficients”, Vladikavkaz. Mat. Zh., 8:1 (2006), 22–26
	2005
2.	A. L. Goncharov, S. B. Klimentov, Z. D. Usmanov, “An analogue of Liouville's theorem for a class of systems of Cauchy-Riemann type with singular coefficients”, Vladikavkaz. Mat. Zh., 7:4 (2005), 7–16	2
	1988
3.	A. L. Goncharov, I. V. Fryazinov, “Difference schemes on a nine-point “cross” pattern for solving the Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 28:6 (1988), 867–878 ; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 164–172	4

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