In the last years measure-valued solutions started to be considered as a relevant notion of solutions if they satisfy the so-called measure-valued – strong uniqueness principle. This means that they coincide with a strong solution emanating from the same initial data if this strong solution exists. This property has been examined for many systems of mathematical physics, including incompressible and compressible Euler system, compressible Navier-Stokes system et al. and there are also some results concerning general hyperbolic systems. Our goal is to provide a unified framework for general systems, that would cover the most interesting cases of systems, and most importantly, we give examples of equations, for which the aspect of measure-valued – strong uniqueness has not been considered before, like incompressible magnetohydrodynamics and shallow water magnetohydrodynamics.

在过去的几年中，如果度量值解决方案满足所谓的度量值–强唯一性原则，则开始被视为解决方案的相关概念。这意味着，如果存在强大的解决方案，则它们与源自相同初始数据的强大解决方案相吻合。已针对许多数学物理系统检查了此属性，包括不可压缩和可压缩的Euler系统，可压缩的Navier-Stokes系统等。还有一些有关一般双曲系统的结果。我们的目标是为通用系统提供一个统一的框架，该框架将涵盖系统中最有趣的情况，最重要的是，我们提供方程式的示例，在这些示例中，度量值的方面（以前从未考虑过强唯一性），