Interaction of shock waves in gas dynamics: Uniform in time asymptotics

M. G. García-Alvarado; R. Flores-Espinoza; G. A. Omel'yanov

doi:10.1155/IJMMS.2005.3111

Interaction of shock waves in gas dynamics: Uniform in time asymptotics

M. G. García-Alvarado, R. Flores-Espinoza, G. A. Omel'yanov

Departamento de Matemáticas

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We construct a uniform in time asymptotics describing the interaction of two isothermal shock waves with opposite directions of motion. We show that any smooth regularization of the problem implies the realization of the stable scenario of interaction.

Original language	American English
Pages (from-to)	3111-3126
Number of pages	16
Journal	International Journal of Mathematics and Mathematical Sciences
DOIs	https://doi.org/10.1155/IJMMS.2005.3111
State	Published - 1 Dec 2005

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@article{a21251a5e73d4eddbb945872edb43495,

title = "Interaction of shock waves in gas dynamics: Uniform in time asymptotics",

abstract = "We construct a uniform in time asymptotics describing the interaction of two isothermal shock waves with opposite directions of motion. We show that any smooth regularization of the problem implies the realization of the stable scenario of interaction.",

author = "Garc{\'i}a-Alvarado, {M. G.} and R. Flores-Espinoza and Omel'yanov, {G. A.}",

year = "2005",

month = dec,

day = "1",

doi = "10.1155/IJMMS.2005.3111",

language = "American English",

pages = "3111--3126",

journal = "International Journal of Mathematics and Mathematical Sciences",

issn = "0161-1712",

publisher = "Hindawi Publishing Corporation",

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T1 - Interaction of shock waves in gas dynamics: Uniform in time asymptotics

AU - García-Alvarado, M. G.

AU - Flores-Espinoza, R.

AU - Omel'yanov, G. A.

PY - 2005/12/1

Y1 - 2005/12/1

N2 - We construct a uniform in time asymptotics describing the interaction of two isothermal shock waves with opposite directions of motion. We show that any smooth regularization of the problem implies the realization of the stable scenario of interaction.

AB - We construct a uniform in time asymptotics describing the interaction of two isothermal shock waves with opposite directions of motion. We show that any smooth regularization of the problem implies the realization of the stable scenario of interaction.

U2 - 10.1155/IJMMS.2005.3111

DO - 10.1155/IJMMS.2005.3111

M3 - Article

SP - 3111

EP - 3126

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

SN - 0161-1712

ER -

Interaction of shock waves in gas dynamics: Uniform in time asymptotics

Abstract

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