GLOBAL SOLUTIONS FOR THE 1-D COMPRESSIBLE EULER EQUATIONS WITH TIME-DEPENDENT DAMPING

被引：0
作者：
Chen, Shaohua [1 ]
机构：
[1] Cape Breton Univ, Sch Sci & Technol, Sydney, NS B1P 6L2, Canada
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2024年 / 23卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Compressible Euler equations; hyperbolic p-system; Time-gradually-degenerate damping; Global existence; NONLINEAR DIFFUSION WAVES; HYPERBOLIC CONSERVATION-LAWS; CONVERGENCE-RATES; P-SYSTEM; SINGULARITY FORMATION; ASYMPTOTIC-BEHAVIOR; POISSON EQUATIONS; EXISTENCE;
D O I：
10.3934/cpaa.2023125
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the Cauchy problem for the 1-D compressible Euler equations with time-dependent damping. We prove the existence of global solutions under the assumptions that the derivatives of initial data are suitable small and the initial specific volume is large without the condition of small perturbations to the constant initial data. Our approach is based on estimates of the derivatives of Riemann invariants along two characteristic curves.
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页码：1 / 20
页数：20
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