Uniform time bounds on the amplitude of nonlinear plane air waves in the presence of viscosity

Alfredo Marzocchi

doi:10.1142/S0218202597000499

Uniform time bounds on the amplitude of nonlinear plane air waves in the presence of viscosity

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Abstract

Asymptotic behavior in time for a model of nonlinear plane air waves when a viscosity term is present is investigated. The existence of a uniform bound of several norms is established, and in particular the continuity of the solution, which implies the nonexistence of shock waves.

Original language	English
Pages (from-to)	993-1003
Number of pages	11
Journal	Mathematical Models and Methods in Applied Sciences
Volume	7
DOIs	https://doi.org/10.1142/S0218202597000499
Publication status	Published - 1997

Keywords

Asymptotic behaviour

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10.1142/S0218202597000499

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title = "Uniform time bounds on the amplitude of nonlinear plane air waves in the presence of viscosity",

abstract = "Asymptotic behavior in time for a model of nonlinear plane air waves when a viscosity term is present is investigated. The existence of a uniform bound of several norms is established, and in particular the continuity of the solution, which implies the nonexistence of shock waves.",

keywords = "Asymptotic behaviour, Asymptotic behaviour",

author = "Alfredo Marzocchi",

year = "1997",

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language = "English",

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AU - Marzocchi, Alfredo

PY - 1997

Y1 - 1997

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AB - Asymptotic behavior in time for a model of nonlinear plane air waves when a viscosity term is present is investigated. The existence of a uniform bound of several norms is established, and in particular the continuity of the solution, which implies the nonexistence of shock waves.

KW - Asymptotic behaviour

UR - http://hdl.handle.net/10807/268515

U2 - 10.1142/S0218202597000499

DO - 10.1142/S0218202597000499

M3 - Article

SN - 0218-2025

VL - 7

SP - 993

EP - 1003

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

ER -

Uniform time bounds on the amplitude of nonlinear plane air waves in the presence of viscosity

Abstract

Keywords

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