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Studying a numerical model of filling two-layer porous shells with gas. (English. Russian original) Zbl 1436.76057

Mosc. Univ. Comput. Math. Cybern. 35, No. 4, 151-158 (2011); translation from Vestn. Mosk. Univ., Ser. XV 2011, No. 4, 3-10 (2011).
Summary: The authors propose and analytically study a numerical model of filling laser targets with hydrogen isotopes. The model presents the singularly perturbed initial boundary-value problem for a set of semilinear parabolic equations. An approximate solution of the problem is constructed using the small parameter method. Researchers from the Thermonuclear Target Laboratory at the Lebedev Physical Institute, Russian Academy of Sciences, used this result to develop a module of unsupported target formation.

MSC:

76S05 Flows in porous media; filtration; seepage
76N15 Gas dynamics (general theory)
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
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