4 papers
Quantitative vanishing-regularization limits for degenerate cross-diffusion with changing boundary strata
E. Yu. Shchetinin, A. A. Shevchuk, S. I. Salpagarov
We study a vanishing-regularization limit for a degenerate cross-diffusion system on the simplex when the active boundary stratum of a smooth reference solution may change in space…
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…
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 m…
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…