Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board Member: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

4 Issues per year

IMPACT FACTOR 2016: 0.290
5-year IMPACT FACTOR: 0.430

CiteScore 2016: 0.46

SCImago Journal Rank (SJR) 2016: 0.401
Source Normalized Impact per Paper (SNIP) 2016: 0.927

Mathematical Citation Quotient (MCQ) 2016: 0.20

See all formats and pricing
More options …
Volume 19, Issue 1 (Jan 2012)


Explicit solutions of the boundary value problems of the theory of consolidation with double porosity for the half-plane

Mikheil Basheleishvili
  • I. Vekua Institute of Applied Mathematics, I. Javakhishvili Tbilisi State University, 2 University St., Tbilisi 0186, Georgia
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Lamara Bitsadze
Published Online: 2012-02-29 | DOI: https://doi.org/10.1515/gmj-2012-0002


The purpose of this paper is to consider a two-dimensional version of the Aifantis equation of statics of the theory of consolidation with double porosity and effectively solve the basic BVPs for the half-plane. We extend the potential method and the theory of integral equations to BVPs of the theory of consolidation with double porosity. For all problems, we construct Fredholm type integral equations. For the Aifantis equation of statics we construct a particular solution and reduce the solution of the basic BVPs of the theory of consolidation with double porosity to the solution of the basic BVPs for the equation for an isotropic body. A Poisson type formula is constructed for the solution of the first and of the second boundary value problem for the half-plane.

Keywords.: Porous media; double porosity; consolidation; fundamental solution

About the article

Received: 2010-12-28

Published Online: 2012-02-29

Published in Print: 2012-03-01

Citation Information: Georgian Mathematical Journal, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/gmj-2012-0002.

Export Citation

© 2012 by Walter de Gruyter Berlin Boston. Copyright Clearance Center

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Lamara Bitsadze and Natela Zirakashvili
Advances in Mathematical Physics, 2016, Volume 2016, Page 1
L. Giorgashvili, D. Burchuladze, and K. Skhvitaridze
Journal of Mathematical Sciences, 2016, Volume 216, Number 4, Page 538

Comments (0)

Please log in or register to comment.
Log in