标题： 从有限差分方法导出的格子玻尔兹曼方案的非唯一性 显示英文标题

标题： Nonuniqueness of lattice Boltzmann schemes derived from finite difference methods

摘要： 最近，从格子玻尔兹曼方案构造有限差分方案已被严格分析 [Bellotti 等 (2022), 数学. 152, 第 1-40 页]. 因此已知任何格子玻尔兹曼方案都可以用相应的守恒变量上的多步有限差分方案来表示. 在本工作中，我们提供了该猜想的反例，即任何多步有限差分方案都有唯一的格子玻尔兹曼公式. 基于此，我们指出离散化松弛系统的等价类的存在. 显示英文摘要

摘要： Recently, the construction of finite difference schemes from lattice Boltzmann schemes has been rigorously analyzed [Bellotti et al. (2022), Numer. Math. 152, pp. 1-40]. It is thus known that any lattice Boltzmann scheme can be expressed in terms of a corresponding multi-step finite difference scheme on the conserved variables. In the present work, we provide counterexamples for the conjecture that any multi-step finite difference scheme has a unique lattice Boltzmann formulation. Based on that, we indicate the existence of equivalence classes for discretized relaxation systems.