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Correctness of the free boundary problem for the microscopic in-situ leaching model | ||
| Journal of Mathematical Modeling | ||
| مقاله 6، دوره 9، شماره 3، آذر 2021، صفحه 415-423 اصل مقاله (281.11 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2021.18402.1581 | ||
| نویسندگان | ||
| Anvarbek Meirmanov1؛ Oleg Galtsev* 2؛ Vladimir Seldemirov1 | ||
| 1National Research University ``Higher School of Economics'', Moscow, Russia | ||
| 2National Research University ``Belgorod State University'', Belgorod, Russia | ||
| چکیده | ||
| We consider initial boundary value problem for in-situ leaching process of rare metals at the microscopic level. This physical process describes by the Stokes equations for the liquid component coupled with the Lame's equations for the solid skeleton and the diffusion-convection equations for acid concentration. Due to the dissolution of the solid skeleton, the pore space has an unknown (free) boundary. For formulated initial boundary-value problem we prove existence and uniqueness of the classical solution. | ||
| کلیدواژه‌ها | ||
| Mathematical models؛ free boundary problems؛ diffusion-convection | ||
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