Mathematical analysis of the discharge of a laminar hot gas in a colder atmosphere.

RACSAM (2007)

• Volume: 101, Issue: 1, page 119-124
• ISSN: 1578-7303

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Abstract

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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 ≥ δ &gt; 0 and u ≥ ε &gt; 0 (here δ and ε are given as boundary conditions in the external atmosphere). We also study the limit cases δ = 0 or ε = 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.

How to cite

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Antontsev, Stanislav, and Díaz, Jesús Ildefonso. "Mathematical analysis of the discharge of a laminar hot gas in a colder atmosphere.." RACSAM 101.1 (2007): 119-124. <http://eudml.org/doc/41670>.

@article{Antontsev2007,
abstract = {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 ≥ δ &gt; 0 and u ≥ ε &gt; 0 (here δ and ε are given as boundary conditions in the external atmosphere). We also study the limit cases δ = 0 or ε = 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.},
author = {Antontsev, Stanislav, Díaz, Jesús Ildefonso},
journal = {RACSAM},
keywords = {hyperbolic-parabolic system; localization effects; non-isothermal laminar gas jets; boundary layer approximation; existence and uniqueness; interfaces},
language = {eng},
number = {1},
pages = {119-124},
title = {Mathematical analysis of the discharge of a laminar hot gas in a colder atmosphere.},
url = {http://eudml.org/doc/41670},
volume = {101},
year = {2007},
}

TY - JOUR
AU - Antontsev, Stanislav
AU - Díaz, Jesús Ildefonso
TI - Mathematical analysis of the discharge of a laminar hot gas in a colder atmosphere.
JO - RACSAM
PY - 2007
VL - 101
IS - 1
SP - 119
EP - 124
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 ≥ δ &gt; 0 and u ≥ ε &gt; 0 (here δ and ε are given as boundary conditions in the external atmosphere). We also study the limit cases δ = 0 or ε = 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.
LA - eng
KW - hyperbolic-parabolic system; localization effects; non-isothermal laminar gas jets; boundary layer approximation; existence and uniqueness; interfaces
UR - http://eudml.org/doc/41670
ER -

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