6 papers · 1 filter
Mathematical Analysis of Regularity, Bifurcations, and Turbulence in Fluid Dynamics via Sobolev, Besov, and Triebel-Lizorkin Spaces
Rômulo Damasclin Chaves dos Santos
This article presents a comprehensive mathematical framework for the study of regularity, bifurcations, and turbulence in fluid dynamics, leveraging the power of Sobolev and Besov…
Quantum-Inspired Stochastic Modeling and Regularity Analysis in Turbulent Flows
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
This paper introduces a novel mathematical framework for examining the regularity and energy dissipation properties of solutions to the stochastic Navier-Stokes equations. By integ…
Dissipation and Regularity in the Smagorinsky Model with Dynamic Boundaries
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
This article presents an innovative extension of the Smagorinsky model incorporating dynamic boundary conditions and advanced regularity methods. We formulate the modified Navier-S…
Enhanced Diffusion in Anisotropic and Non-uniform Geometries
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
Enhanced diffusion, which describes the accelerated spread of passive scalars due to the interaction between advection and molecular diffusion, has been extensively studied in simp…
Stochastic Trajectories and Spectral Boundary Conditions for Enhanced Diffusion in Immersed Boundary Problems
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
This work presents a comprehensive framework for enhanced diffusion modeling in fluid-structure interactions by combining the Immersed Boundary Method (IBM) with stochastic traject…
Hypercomplex Dynamics and Turbulent Flows in Sobolev and Besov Functional Spaces
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
This paper presents a rigorous study of advanced functional spaces, with a focus on Sobolev and Besov spaces, to investigate key aspects of fluid dynamics, including the regularity…