caa a22 4500 469100222 CHVBK 20180323133042.0 cr unu---uuuuu 170328e19920101xx s 000 0 eng 10.1007/BF01054184 doi (NATIONALLICENCE)springer-10.1007/BF01054184 Exact solutions of model BGK Boltzmann equation in temperature jump and weak evaporation problems [Elektronische Daten] [E. Dolgosheina, A. Latyshev, A. Yushkanov] An exact solution to the model Boltzmann equation with Bhatnagar-Gross-Krook (BGK) collision operator is obtained in the problems of weak evaporation and temperature and density jumps of a rarefied gas in a half-space. Case's method is used to find generalized eigenvectors of the corresponding characteristic equation. An existence and uniqueness theorem for the solution of the posed problems with boundary conditions on a flat surface and far from it is proved. For this, we develop a formalism of diagonalization and factorization of the vector Riemann-Hilbert boundary-value problem with matrix coefficient whose diagonalizing matrix has branch points in the complex plane. Plenum Publishing Corporation, 1992 Dolgosheina E. Moscow aut Latyshev A. Moscow aut Yushkanov A. Moscow aut Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/1(1992-01-01), 122-128 0015-4628 27:1<122 1992 27 10697 https://doi.org/10.1007/BF01054184 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01054184 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dolgosheina E. Moscow aut NATIONALLICENCE 700 1- Latyshev A. Moscow aut NATIONALLICENCE 700 1- Yushkanov A. Moscow aut NATIONALLICENCE 773 0- Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/1(1992-01-01), 122-128 0015-4628 27:1<122 1992 27 10697 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer