Geodesic
On the behavior of the solution of a nonlinear polytropic filtration problem with a source and multiple nonlinearities
Nanosistemy: fizika, himiâ, matematika, Tome 9 (2018) no. 3, pp. 323-329.

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In this paper, we study the global solvability and unsolvability conditions of a nonlinear filtration problem with nonlinear boundary flux. We establish the critical global existence exponent and critical Fujita exponent of nonlinear filtration problem in inhomogeneous medium. An asymptotic representation of the solution with a compact support is obtained, which made it possible to carry out a numerical experiment.
Keywords: blow-up, critical curve, asymptotic behavior, numerical analysis.
Mots-clés : filtration, global solutions 
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     author = {Z. R. Rakhmonov and A. I. Tillaev},
     title = {On the behavior of the solution of a nonlinear polytropic filtration problem with a source and multiple nonlinearities},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {323--329},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2018_9_3_a2/}
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Z. R. Rakhmonov; A. I. Tillaev. On the behavior of the solution of a nonlinear polytropic filtration problem with a source and multiple nonlinearities. Nanosistemy: fizika, himiâ, matematika, Tome 9 (2018) no. 3, pp. 323-329. http://geodesic.mathdoc.fr/item/NANO_2018_9_3_a2/