On One Nonlinear Boundary-Value Problem in Kinetic Theory of Gases

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2014
• Main Authors: Khachatryan, A.Kh., Khachatryan, Kh.A., Sardaryan, T.H.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106801
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On One Nonlinear Boundary-Value Problem in Kinetic Theory of Gases / A.Kh. Khachatryan, Kh.A. Khachatryan, T.H. Sardaryan // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 3. — С. 320-327. — Бібліогр.: 6 назв. — англ.

In the paper, the solvability of one nonlinear boundary-value problem arising in kinetic theory of gases is studied. We prove the existence of global solvability of a boundary-value problem in the Sobolev space W¹∞ (R+). The limit of the solution is found by using some a'priori estimations. For...