Basic Boundary-Value Problems for a Solid Body with Double Porosity and Two Nonintersecting Spherical Cavities

Verfasser / Beitragende:
[L. Giorgashvili, G. Karseladze, M. Kharashvili]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 206/4(2015-04-01), 371-392
Format:
Artikel (online)
ID: 605524319
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024 7 0 |a 10.1007/s10958-015-2318-4  |2 doi 
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245 0 0 |a Basic Boundary-Value Problems for a Solid Body with Double Porosity and Two Nonintersecting Spherical Cavities  |h [Elektronische Daten]  |c [L. Giorgashvili, G. Karseladze, M. Kharashvili] 
520 3 |a In this paper, we examine the basic boundary-value problems for a three-dimensional space filled with a solid body having double porosity and two nonintersecting spherical cavities. We search for a solution of the problem by using the representation of a general solution of a system of homogeneous differential equations of statics, which is expressed in terms of four harmonic and one metaharmonic functions. The solution of the problem is reduced to the investigation of an infinite system of linear algebraic equations. It is shown that the obtained system is of normal type. Solutions of the considered problems are obtained in the form of absolutely and uniformly convergent series. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Giorgashvili  |D L.  |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia  |4 aut 
700 1 |a Karseladze  |D G.  |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia  |4 aut 
700 1 |a Kharashvili  |D M.  |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/4(2015-04-01), 371-392  |x 1072-3374  |q 206:4<371  |1 2015  |2 206  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2318-4  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2318-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Giorgashvili  |D L.  |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Karseladze  |D G.  |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kharashvili  |D M.  |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/4(2015-04-01), 371-392  |x 1072-3374  |q 206:4<371  |1 2015  |2 206  |o 10958