Geodesic
Determination the possibility of a~rock burst in a~coal seam
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 4, pp. 35-43

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The paper presents an algorithm for computing the value serving as a criterion for the decision about a possible rock burst in a coal seam. This value is proposed to be sought for in the two step. The first step solves an inverse problem for finding the necessary quantities, and the second step solves a boundary value problem for the biharmonic equation. The inverse problem can be solved by minimizing the objective functional. Its strong convexity is shown.
Keywords: rock burst, coal seam, plane problem of the theory of elasticity, biharmonic equation. 
@article{SJIM_2017_20_4_a4,
     author = {A. L. Karchevsky},
     title = {Determination the possibility of a~rock burst in a~coal seam},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {35--43},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2017_20_4_a4/}
}
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A. L. Karchevsky. Determination the possibility of a~rock burst in a~coal seam. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 4, pp. 35-43. http://geodesic.mathdoc.fr/item/SJIM_2017_20_4_a4/