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

Stanislav Antontsev; Jesús Ildefonso Díaz

RACSAM (2007)

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

## Access Full Article

top## Abstract

top## How to cite

topAntontsev, 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 > 0 and u ≥ ε > 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 > 0 and u ≥ ε > 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.