4 papers
A Non-Commutative Voronovskaya Theorem for Quantum Neural Network Operators
Rômulo Damasclin Chaves dos Santos, Delvonei Alves de Andrade
We prove a complete asymptotic expansion for quantum neural network operators when they approximate arbitrary quantum channels. This is the non-commutative analogue of the classica…
A Sophisticated Analytical Methodology for Refining the Smagorinsky Model in Turbulent Flows
Rômulo Damasclin Chaves dos Santos
In this work, we present three important theorems related to the corrected Smagorinsky model for turbulence in time-dependent domains. The first theorem establishes an improved reg…
Theoretical Refinements of the Smagorinsky Model for Turbulence Simulations
Rômulo Damasclin Chaves dos Santos
This paper presents a rigorous theoretical extension of the Smagorinsky model for turbulence simulations. The author builds on its fundamental framework, addressing known limitatio…
Mathematical Analysis of Axisymmetrization and Enhanced Inviscid Damping in 2D Linearized Euler Flow
Rômulo Damasclin Chaves dos Santos
This paper extends the mathematical theory of axisymmetrization and vorticity depletion within the two-dimensional (2D) Euler equations, with an emphasis on the dynamics of radiall…