论文标题
部分可观测时空混沌系统的无模型预测
The Relative Entropy Method for Inhomogeneous Systems of Balance Laws
论文作者
论文摘要
在相对熵的背景下，研究了所有本构函数中空间和时间上的不均匀性的一般双曲线系统。在这种情况下，开发了一个框架，该框架有助于测量值弱与强唯一性定理，粘液溶液的稳定定理以及粘度参数趋向于零。本文的主要目标是开发可以应用相对熵框架的假设。提出了具有不同特征的不均匀性系统的示例，并在每个示例的设置中讨论了假设。
General hyperbolic systems of balance laws with inhomogeneity in space and time in all constitutive functions are studied in the context of relative entropy. A framework is developed in this setting that contributes to a measure-valued weak vs strong uniqueness theorem, a stability theorem of viscous solutions and a convergence theorem as the viscosity parameter tends to zero. The main goal of this paper is to develop hypotheses under which the relative entropy framework can still be applied. Examples of systems with inhomogeneity that have different charateristics are presented and the hypotheses are discussed in the setting of each example.
