Geodesic
Study of steady-state heat distribution in a plane with a crack in the case of variable internal thermal conductivity
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 4, pp. 695-703 Cet article a éte moissonné depuis la source Math-Net.Ru

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The existence of a solution to the problem modeling a steady-state heat distribution in an inhomogeneous plane with a crack is proved. The singular terms of an asymptotic expansion of the heat flux near the ends of the crack are obtained in closed form. 
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A. V. Glushko; E. A. Loginova; V. E. Petrova; A. S. Ryabenko. Study of steady-state heat distribution in a plane with a crack in the case of variable internal thermal conductivity. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 4, pp. 695-703. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_4_a15/

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