Existence of a Global Solution for a Scalar Conservation Law with a Source Term
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- 作者：Naoki Tsuge
- 关键词：Scalar conservation law ; Source term ; Compensated compactness ; Vanishing viscosity method ; Invariant region
- 刊名：Acta Applicandae Mathematicae
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：147
- 期：1
- 页码：177-186
- 全文大小：
- 刊物主题：Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics;
- 出版者：Springer Netherlands
- ISSN：1572-9036
- 卷排序：147
文摘
We are concerned with a scalar conservation law with a source term. This equation is proposed to describe the qualitative behavior of waves for a general system in resonance with the source term by T.P. Liu. In addition to this, the scalar conservation law is used in various areas such as fluid dynamics, traffic problems etc.