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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 1990 Volume 2, Number 6, Pages 55–63 (Mi mm2397)

This article is cited in 4 papers

Mathematical models of phenomena and processes

Exact solution of the weakly evaporation problem for the Boltzmann equation with BGK operator collision

A. V. Latyshev, A. A. Yushkanov

Moscow Region Pedagogical Institute named after N. K. Krupskaya

Abstract: Exact solution of the Boltzmann equation with BGK collision operator in weak evaporation problem from plate surface is obtained. Generalized eigenvectors and eigenvalues of charactetistic equation are found. The theorem about expansion of the solution by eigenvectors is proved. The proof reduced to vector Riemann–Hubert boundary value problem with matrix coefficient. Canonical factor-matrix with normal form at infinity is used.

UDC: 517.958

Received: 16.01.1990



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