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- W2004202911 abstract "Abstract A one-dimensional, nonstationary flow of a mixture of gas containing a dispersion of solid particles is used to investigate the correctness of the Cauchy problem within the framework of a two-fluid model /1/. The analysis is carried out with and without the volume occupied by the particles, taken into account. In both cases the norms are defined within which the problem is correct, even when the “fine ripples” appearing on the initial data cause the intersection of the particle trajectories upon which their volume density becomes infinite. The possibility of introducing the norms within which a problem, incorrect in some norm /2/, becomes correct without changing the model, is of major importance, since the correctness of the Cauchy problem, which does not represent another (straight) problem posed in different formulation, is considered as a natural requirement for the mathematical models of real processes /3,4/." @default.
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- W2004202911 date "1982-01-01" @default.
- W2004202911 modified "2023-10-17" @default.
- W2004202911 title "On correctness of the cauchy problem for a two-fluid model of a gas flow containing particles" @default.
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- W2004202911 doi "https://doi.org/10.1016/0021-8928(82)90107-1" @default.
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