A double layer potentials for generalized bi-axially symmetric equation
نویسنده
چکیده
were constructed in R 2 = {(x, y) : x > 0, y > 0} . In the present paper (in case of λ = 0) using the constructed fundamental solutions, a double layer potentials are defined and investigated. Limiting theorems are proved, and integral equations concerning a denseness of potentials of a double layer are found. MSC: Primary 35J15, 35J70.
منابع مشابه
The Dirichlet Problem for the Generalized Bi-axially Symmetric Helmholtz Equation
Abstract. In [18], fundamental solutions for the generalized bi-axially symmetric Helmholtz equation were constructed in R 2 = {(x, y) : x > 0, y > 0} . They contain Kummer’s confluent hypergeometric functions in three variables. In this paper, using one of the constructed fundamental solutions, the Dirichlet problem is solved in the domain Ω ⊂ R 2 . Using the method of Green’s functions, solut...
متن کاملDevendra Kumar APPROXIMATION OF GROWTH NUMBERS OF GENERALIZED BI - AXIALLY SYMMETRIC POTENTIALS
The paper deals with growth and approximation of solutions (not necessarily entire) of certain elliptic partial differential equations. These solutions are called Generalized Bi-Axially Symmetric Potentials (GBASP′s). The GBASP′s are taken to be regular in a finite hyperball and influence of the growth of their maximum moduli on the rate of decay of their approximation errors in sup norm is stu...
متن کاملAxially Symmetric Vibrations of a Liquid-Filled Poroelastic Thin Cylinder Saturated with Two Immiscible Liquids Surrounded by a Liquid
This paper studies axially symmetric vibrations of a liquid-filled poroelastic thin cylinder saturated with two immiscible liquids of infinite extent that is surrounded by an inviscid elastic liquid. By considering the stress free boundaries, the frequency equation is obtained. Particular case, namely, liquid-filled poroelastic cylinder saturated with single liquid is discussed. When the waven...
متن کاملInfluence of viscosity on the scattering of an air pressure wave by a rigid body: a regular boundary integral formulation.
This paper gives a regular vector boundary integral equation for solving the problem of viscous scattering of a pressure wave by a rigid body. Firstly, single-layer viscous potentials and a generalized stress tensor are introduced. Correspondingly, generalized viscous double-layer potentials are defined. By representing the scattered field as a combination of a single-layer viscous potential an...
متن کاملDevelopment of a novel method in TRMC for a Binary Gas Flow Inside a Rotating Cylinder
A new approach to calculate the axially symmetric binary gas flow is proposed Dalton’s law for partial pressures contributed by each species of a binary gas mixture (argon and helium) is incorporated into numerical simulation of rarefied axially symmetric flow inside a rotating cylinder using the time relaxed Monte-Carlo (TRMC) scheme and the direct simulation Monte-Carlo (DSMC) method. The res...
متن کامل