摘要
研究具有一般边界条件的带退化粘性项的单个守恒律,导出了在流函数为凸的条件下其解渐近衰减到稀疏波的一个L2-衰减估计,从而澄清了一般边界条件对衰减率的影响.
The With the general boundary data problem for scalar conservation law with degenerate viscosity is concerned. Under the condition that the flux function is convex, using L1-estimate derives a L2-decay rate of the rarefaction wave for scalar conservation law with degenerate viscosity. From this decay rate estimate, the effect of the general boundary data on the decay rate is clarified.
出处
《暨南大学学报(自然科学与医学版)》
CAS
CSCD
北大核心
2010年第5期442-447,共6页
Journal of Jinan University(Natural Science & Medicine Edition)
基金
国家自然科学基金资助项目(10871082)