We establish weak–strong uniqueness and stability properties of renormalized solutions to a class of energy-reaction-diffusion systems. The systems considered are motivated by thermodynamically consistent models, and their formal entropy structure allows us to use as a key tool a suitably adjusted relative entropy method. The weak–strong uniqueness principle holds for dissipative renormalized solutions, which in addition to the renormalized formulation obey suitable dissipation inequalities consistent with previous existence results. We treat general entropy-dissipating reactions without growth restrictions, and certain models with a non-integrable diffusive flux.

The results also apply to a class of (isoenergetic) reaction-cross-diffusion systems.

我们为一类能量反应扩散系统建立了重整化解的弱-强唯一性和稳定性属性。所考虑的系统受到热力学一致模型的推动，它们的正式熵结构使我们能够将适当调整的相对熵方法用作关键工具。弱-强唯一性原则适用于耗散重整化解，除了重整化公式之外，它还遵循与先前存在结果一致的适当耗散不等式。我们处理没有增长限制的一般熵耗散反应，以及具有不可积扩散通量的某些模型。

该结果也适用于一类（等能）反应-交叉扩散系统。