Solvability of the two-dimensional boundary problem for stokes' system of equations in a domain with zero external cusp. I

1984 ◽  
Vol 23 (3) ◽  
pp. 302-307
Author(s):  
K. Samaitis
Keyword(s):  
Boundary Problem ◽  
Stokes System ◽  
System Of Equations ◽  
Two Dimensional ◽  
Dimensional Boundary

A New Boundary Problem for the Two Dimensional Navier-Stokes System

2009 ◽  
Vol 135 (4) ◽  
pp. 737-750 ◽  
Author(s):  
Efim Dinaburg ◽  
Dong Li ◽  
Yakov G. Sinai
Keyword(s):  
Boundary Problem ◽  
Stokes System ◽  
Navier Stokes ◽  
Two Dimensional

scholarly journals Explicit Solution of Elastostatic Boundary Value Problems for the Elastic Circle with Voids

2018 ◽  
Vol 2018 ◽  
pp. 1-6 ◽  
Author(s):  
Ivane Tsagareli
Keyword(s):  
General Solution ◽  
Boundary Value Problems ◽  
Simple Structure ◽  
Boundary Value ◽  
System Of Equations ◽  
Two Dimensional ◽  
System Of Differential Equations ◽  
Elementary Functions ◽  
Regular Solutions ◽  
Dimensional Boundary

We solve the static two-dimensional boundary value problems for an elastic porous circle with voids. Special representations of a general solution of a system of differential equations are constructed via elementary functions which make it possible to reduce the initial system of equations to equations of simple structure and facilitate the solution of the initial problems. Solutions are written explicitly in the form of absolutely and uniformly converging series. The question pertaining to the uniqueness of regular solutions of the considered problems is investigated.

On the solution to a two-dimensional boundary value problem of heat conduction in a degenerating domain

2020 ◽  
Vol 98 (2) ◽  
pp. 100-109
Author(s):  
Minzilya T. Kosmakova ◽  
◽  
Valery G. Romanovski ◽  
Dana M. Akhmanova ◽  
Zhanar M. Tuleutaeva ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Two Dimensional ◽  
Dimensional Boundary
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