3 papers
math.AP2026
Noncommutative Anisotropic Diffusion in Hilbert Space. II. Global Closure of the Logarithmic Gradient, Lower Bounds, and Nanosystem Applications
E. Yu. Shchetinin, A. A. Shevchuk, S. I. Salpagarov
This second part of the series develops the statistical and applied layer of the theory built in Part I [1]. Unlike current Hilbert diffusion models [2-5], we focus not only on wel…
math.AP2026
Noncommutative Anisotropic Diffusion in Hilbert Space. I. The Consistent A-Geometry, Mosco Stability, and the Weak Bridge
E. Yu. Shchetinin, A. A. Shevchuk, S. I. Salpagarov
This first part of the series builds the analytic layer of noncommutative anisotropic diffusion in a separable Hilbert space. Let be the reference Gaussian…
math.AP2026
Entropy Geometry and Augmented Mobility for Reactive Maxwell--Stefan Membrane Transport with Finite Occupancy
E. Yu. Shchetinin, A. A. Shevchuk, S. I. Salpagarov
We study a reactive Maxwell--Stefan-type membrane transport system under a finite-occupancy constraint with explicit vacancies. The admissible state space is $\mathcal{D} = \{u \in…