Global existence, exponential decay, and blow-up in one-dimensional quasilinear hyperbolic systems: A unified approach

Salim Aissa Salah Messaoudi

Global existence, exponential decay, and blow-up in one-dimensional quasilinear hyperbolic systems: A unified approach

Salim Aissa Salah Messaoudi

King Fahd University of Petroleum & Minerals

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

Abstract

Classical solutions for nonlinear hyperbolic systems may decay or blow up depending on the damping factors as well as, the size of the initial data. Here we consider a general Cauchy problem and present unified results, which apply to many special cases.

Original language	English
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
State	Published - 2007

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title = "Global existence, exponential decay, and blow-up in one-dimensional quasilinear hyperbolic systems: A unified approach",

abstract = "Classical solutions for nonlinear hyperbolic systems may decay or blow up depending on the damping factors as well as, the size of the initial data. Here we consider a general Cauchy problem and present unified results, which apply to many special cases.",

author = "Messaoudi, \{Salim Aissa Salah\}",

year = "2007",

language = "English",

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TY - JOUR

T1 - Global existence, exponential decay, and blow-up in one-dimensional quasilinear hyperbolic systems: A unified approach

AU - Messaoudi, Salim Aissa Salah

PY - 2007

Y1 - 2007

N2 - Classical solutions for nonlinear hyperbolic systems may decay or blow up depending on the damping factors as well as, the size of the initial data. Here we consider a general Cauchy problem and present unified results, which apply to many special cases.

AB - Classical solutions for nonlinear hyperbolic systems may decay or blow up depending on the damping factors as well as, the size of the initial data. Here we consider a general Cauchy problem and present unified results, which apply to many special cases.

M3 - Article

SN - 1201-3390

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

ER -

Global existence, exponential decay, and blow-up in one-dimensional quasilinear hyperbolic systems: A unified approach

Abstract

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