发表机构
Technische Universität Darmstadt（达姆施塔特工业大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该论文证明了三元Maxwell-Stefan扩散系统在有界区域上无需小性条件的全局强适定性，通过谱根分解、熵稳定截断和Schauder估计等技术，确保各组分正质量严格为正。
AI 中文摘要
我们在有界$C^{2+\alpha_0}$区域上证明了归一化等温、等压三元Maxwell-Stefan扩散系统的全局强适定性，该系统适用于任意正常数二元摩擦力和相容的非负初始数据，且无需小性条件。对于不同的摩擦力，迹-行列式变量产生两个分离的谱根，满足具有反对称二次耦合的标量抛物方程。由混合熵稳定的Euler-Poisson-Darboux单侧截断，给出了边界De Giorgi振荡衰减和正时间Hölder正则性。随后，混合熵Hessian矩阵提供了一个局部对称化子；余法Schauder估计给出均匀$C^{1+a}$控制，而冻结最大$L_p$-正则性产生均匀的终端迹界，排除了有限时间破裂。重复摩擦力可简化为三角标量抛物系统。每个具有正守恒质量的组分在正时间内严格为正。
英文摘要
We prove global strong well-posedness for the normalized isothermal, isobaric ternary Maxwell-Stefan diffusion system on bounded $C^{2+α_0}$ domains, for arbitrary positive constant binary frictions and compatible nonnegative initial data, without a smallness condition. For distinct frictions, trace--determinant variables produce two separated spectral roots satisfying scalar parabolic equations with antisymmetric quadratic coupling. Euler-Poisson-Darboux one-sided truncations, stabilized by the mixing entropy, yield boundary De Giorgi oscillation decay and positive-time Hölder regularity. The mixing-entropy Hessian then provides a local symmetrizer; conormal Schauder estimates give uniform $C^{1+a}$ control, and frozen maximal $L_p$-regularity yields a uniform terminal trace bound excluding finite-time breakdown. Repeated frictions reduce to triangular scalar parabolic systems. Every component with positive conserved mass is strictly positive for positive time.
