Multiple viscous solutions for systems of conservation laws
Multiple viscous solutions for systems of conservation laws
复制标题
守恒定律系统的多重粘性解
DOI：
10.1090/s0002-9947-1995-1277093-8
复制
发表时间：
1995
影响因子：
1.3
通讯作者：
D. Marchesin
中科院分区：
文献类型：
--
作者：
A. Azevedo;D. Marchesin
我们展示了一个例子的机制负责多个解决方案的混合椭圆双曲型系统的两个二次多项式守恒律的黎曼问题。在这个例子中，多重解是由黎曼解集合中的折叠产生的。尽管它们都满足粘性剖面熵准则，但仍会出现多重解。这一准则未能提供唯一性，这就证明了在守恒律系统的激波理论中需要改变概念。
We exhibit an example of mechanism responsible for multiple solutions in the Riemann problem for a mixed elliptic-hyperbolic type system of two quadratic polynomial conservation laws. In this example, multiple solutions result from folds in the set of Riemann solutions. The multiple solutions occur despite the fact that they all satisfy the viscous profile entropy criterion. The failure of this criterion to provide uniqueness is evidence in support of a need for conceptual change in the theory of shock waves for a system of conservation laws.