Geodesic
On a~free boundary problem for the~relaxation transfer equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 1, pp. 184-202

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We study the free boundary problem with no initial conditions for a third-order relaxation transfer equation. First, we reduce the problem to a second-order equation and prove the uniqueness theorem. The solution of this problem is constructed as a limit of solutions of corresponding problems that are first reduced to a Stefan-type problem with initial conditions. Free boundary behavior is explored.
Keywords: relaxation, transfer, free boundary, a priori estimate, existence and uniqueness of solution. 
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     author = {J. O. Takhirov and M. T. Umirkhonov},
     title = {On a~free boundary problem for the~relaxation transfer equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2021_209_1_a8/}
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J. O. Takhirov; M. T. Umirkhonov. On a~free boundary problem for the~relaxation transfer equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 1, pp. 184-202. http://geodesic.mathdoc.fr/item/TMF_2021_209_1_a8/