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Teoriya Veroyatnostei i ee Primeneniya, 1969, Volume 14, Issue 1, Pages 148–151
(Mi tvp1128)
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Short Communications
Partial differential equations with random characteristics
R. V. Polovin, V. V. Rozhkov Institute of Physics and Technology of Ukraine Academy of Sciences, Kharkov
Abstract:
A linear partial differential equation with random characteristics is investigated in the case when the corresponding deterministic problem has no solution. Similar problems a rise in the kinetic theory of collisionless shock waves. It is shown that for the problem to be correct some additional variables must be introduced. In so doing the problem is reduced to that for a parabolic kinetic equation.
Received: 01.02.1967
Citation:
R. V. Polovin, V. V. Rozhkov, “Partial differential equations with random characteristics”, Teor. Veroyatnost. i Primenen., 14:1 (1969), 148–151; Theory Probab. Appl., 14:1 (1969), 146–149
Linking options:
https://www.mathnet.ru/eng/tvp1128 https://www.mathnet.ru/eng/tvp/v14/i1/p148
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Abstract page: | 192 | Full-text PDF : | 81 |
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