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Título:
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Mathematical analysis of the discharge of a laminar hot gas in a colder atmosphere
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Antontsev, S.N.
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Tipo de documento:
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texto impreso
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Editorial:
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Real Academia Ciencias Exactas Físicas Y Naturales, 2007
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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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 >= 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.
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En línea:
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https://eprints.ucm.es/id/eprint/15292/1/38.pdf
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