RT Journal Article
T1 Mathematical analysis of the discharge of a laminar hot gas in a colder atmosphere
A1 Díaz Díaz, Jesús Ildefonso
A1 Antontsev, S.N.
AB We study the boundary layer approximation of the, already classical, mathematical model which describes the discharge of a laminar hot gas in a stagnant colder atmosphere of the same gas. We start by proving the existence and uniqueness of solutions of the nondegenerate problem under assumptions implying that the temperature T and the horizontal velocity u of the gas are strictly positive: T >= delta > 0 and u > epsilon > 0 (here delta and epsilon are given as boundary conditions in the external atmosphere). We also study the limit cases delta = 0 or epsilon = 0 in which the governing system of equations become degenerate. We show that in those cases it appear some interfaces separating the zones where T and U are positive from those where they vanish.
PB Real Academia Ciencias Exactas Físicas Y Naturales
SN 1578-7303
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/49945
UL https://hdl.handle.net/20.500.14352/49945
LA eng
NO DECONT, FCT/MCES (Portugal)
NO Secretaria de Estado de Universidades e Investigación (Spain)
DS Docta Complutense
RD 20 abr 2025