A boundary-value problem for a first-order hyperbolic system in a two-dimensional domain

2017 ◽  
Vol 81 (3) ◽  
pp. 542-567 ◽  
Author(s):  
N A Zhura ◽  
A P Soldatov
Keyword(s):  
Boundary Value Problem ◽  
Hyperbolic System ◽  
Boundary Value ◽  
Two Dimensional ◽  
First Order ◽  
Dimensional Domain

scholarly journals Homogenization of an interface highly oscillating between two concentric ellipses

2012 ◽  
Vol 34 (2) ◽  
pp. 113-121
Author(s):  
Do Xuan Tung ◽  
Pham Chi Vinh ◽  
Nguyen Kim Tung
Keyword(s):  
Boundary Value Problem ◽  
Explicit Form ◽  
Boundary Value ◽  
Homogenization Method ◽  
Two Dimensional ◽  
Practical Applications ◽  
Dimensional Domain

The main purpose of this paper is to find the homogenized equation and the associate continuity conditions in the explicit form of a boundary-value problem in a two-dimensional domain with an interface oscillating rapidly between two concentric ellipses. This boundary-value problem originates from various problems in practical applications. By the homogenization method and following the technique presented recently by Vinh and Tung [P. C. Vinh and D. X. Tung, Mech. Res.Comm. 37 (2010), 285-288; P. C. Vinh, D. X. Tung, ASME J. Appl. Mech., 78 (2011), 041014-1;  P. C. Vinh and D. X. Tung, Acta Mech. 218 (2011), 333-348], the homogenized equation and the associate continuity conditions in the explicit form are derived.

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

On the Boundary Value Problem in A Dihedral Angle for Normally Hyperbolic Systems of First Order

1998 ◽  
Vol 5 (2) ◽  
pp. 121-138
Author(s):  
O. Jokhadze
Keyword(s):  
Partial Differential Equations ◽  
Boundary Value Problem ◽  
Principal Part ◽  
Hyperbolic Systems ◽  
Boundary Value ◽  
Three Dimensional ◽  
Order System ◽  
First Order ◽  
Dimensional Boundary ◽  
Class Of Functions

Abstract Some structural properties as well as a general three-dimensional boundary value problem for normally hyperbolic systems of partial differential equations of first order are studied. A condition is given which enables one to reduce the system under consideration to a first-order system with the spliced principal part. It is shown that the initial problem is correct in a certain class of functions if some conditions are fulfilled.

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