Cover Image

Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I

We develop new methods for the solution of boundary-value problems in the meridian plane of an antisymmetric potential solenoidal field with regard for the nature and specific features of axisymmetric problems. We determine the solutions of the Dirichlet problems for an axisymmetric potential and th...

Full description

Saved in:

Bibliographic Details
Date:	2000
Main Authors:	Plaksa, S. A., Плакса, С. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2000
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4439
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II
by: Plaksa, S. A., et al.
Published: (2000)

Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane
by: Plaksa, S. A., et al.
Published: (2001)

On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. I
by: Plaksa, S. A., et al.
Published: (2001)

Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane
by: Plaksa, S. A., et al.
Published: (2003)

On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II
by: Plaksa, S. A., et al.
Published: (2001)

On the Solution of the Exterior Dirichlet Problem for an Axisymmetric Potential
by: Plaksa, S. A., et al.
Published: (2002)

Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. I
by: Mel'nichenko, I. P., et al.
Published: (1996)

On perturbation of semi-Noether operators in incomplete spaces. I
by: Plaksa, S. A., et al.
Published: (1993)

About plane field approximation in calculations of the axisymmetric field near a plane boundary surface
by: V. M. Mykhailov, et al.
Published: (2020)

Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. II
by: Mel'nichenko, I. P., et al.
Published: (1996)

Potential fields with axial symmetry and algebras of monogenic functions of vector variables. III
by: Mel'nichenko, I. P., et al.
Published: (1997)

The Dirichlet problem for the Poisson type equations in the plane
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2020)

The Dirichlet problem for the Poisson type equations in the plane
by: Ya. Gutlyanskiĭ, et al.
Published: (2020)

Singular Integral Operators in Spaces of Oscillating Functions on a Rectifiable Curve
by: Plaksa, S. A., et al.
Published: (2003)

On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve
by: Plaksa, S. A., et al.
Published: (1993)

Differentiation of Singular Integrals with Piecewise-Continuous Density and Boundary Values of Derivatives of a Cauchy-Type Integral
by: Plaksa, S. A., et al.
Published: (2005)

Dirichlet problem with measurable data for semilinear equations in the plane
by: Ya. Gutlyanskiĭ, et al.
Published: (2022)

Dirichlet problem with measurable data for semilinear equations in the plane
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2022)

Integral representations of generalized axially symmetric potentials in a simply connected domain
by: Gryshchuk, S. V., et al.
Published: (2009)

On the composition of operators in vector spaces and their Noether property
by: Plaksa, S. A., et al.
Published: (1993)

On perturbation of semi-Noether operators in incomplete spaces. II
by: Plaksa, S. A., et al.
Published: (1993)

Riemann boundary-value problem on an open rectifiable jordan curve. I
by: Kud'yavina, Yu. V., et al.
Published: (2010)

Geopolitics: Eurasian Meridian (Review)
by: E. A. Afonin
Published: (2015)

Conditions of non-uniqueness of solution for Dirichlet problem in a unit disk in terms of differential equation coefficients
by: V. S. Ilkiv
Published: (2012)

On continuous extension to the boundary of a domain of the Cauchy-type integral with parameter-dependent density
by: Plaksa, S., et al.
Published: (2024)

A hypercomplex method for solving piecewise continuous biharmonic problem in domains with corner points
by: Gryshchuk, S., et al.
Published: (2026)

An operator method for the problem of plane wave diffraction by infinitely thin, perfectly conducting half-plane and two disks
by: Ye. Kaliberda, et al.
Published: (2022)

AN OPERATOR METHOD FOR THE PROBLEM OF PLANE WAVE DIFFRACTION BY INFINITELY THIN, PERFECTLY CONDUCTING HALF-PLANE AND TWO DISKS
by: Kaliberda, M. E., et al.
Published: (2023)

Piecewise-continuous Riemann boundary-value problem on a rectifiable curve
by: Vasileva, Yu. V., et al.
Published: (2006)

Vibrations of Shells of Revolution with a Branched Shape Meridian
by: E. I. Bespalova, et al.
Published: (2016)

The Kyiv meridian axial circle with a CCD micrometer
by: Karbovsky, V.
Published: (2005)

О возмущении полунетеровых операторов в неполных пространствах. I
by: Плакса, С.А.
Published: (1993)

Biharmonic potentials and plane isotropic fields of displacement
by: Kovalev , V. F., et al.
Published: (1988)

Задачи Дирихле для осесимметричпых потенциальных полей в круте меридианной плоскости. I
by: Плакса, С.А.
Published: (2000)

Laplacian with respect to measure on a Riemannian manifold and Dirichlet problem. I
by: Bogdanskii, Yu. V., et al.
Published: (2016)

Reduction of the principal biharmonic problem for a quadrant to nonsingular integral equations
by: Mel'nichenko, I. P., et al.
Published: (1995)

Kyiv Meridian Axial Circle Catalogue (KMAC1) of stars in fields with extragalactic radio sources
by: Babenko, Yu., et al.
Published: (2005)

Об интегральных представлениях осесимметричного потенциала и функции тока Стокса в областях меридианной плоскости. I
by: Плакса, С.А.
Published: (2001)

Biharmonic problem in an angle and monogenic functions
by: Gryshchuk, S. V., et al.
Published: (2026)

On the regular growth of Dirichlet series absolutely convergent in a half-plane
by: Stets', Yu. V., et al.
Published: (2011)