Zobrazeno 1 - 10
of 794
pro vyhledávání: '"Henrique P. Oliveira"'
This work presents a comprehensive study of the microlocal energy decomposition and propagation of singularities for semiclassically adjusted dissipative pseudodifferential operators. The analysis focuses on the behavior of energy dissipation in turb
Externí odkaz:
http://arxiv.org/abs/2412.10449
This paper introduces a novel mathematical framework for examining the regularity and energy dissipation properties of solutions to the stochastic Navier-Stokes equations. By integrating Sobolev-Besov hybrid spaces, fractional differential operators,
Externí odkaz:
http://arxiv.org/abs/2411.09888
This article presents an innovative extension of the Smagorinsky model incorporating dynamic boundary conditions and advanced regularity methods. We formulate the modified Navier-Stokes equations with the Smagorinsky term to model dissipation in turb
Externí odkaz:
http://arxiv.org/abs/2411.06230
This paper enhances the classic Smagorinsky model by introducing an innovative, adaptive dissipation term that adjusts dynamically with distance from boundary regions. This modification addresses a known limitation of the standard model over dissipat
Externí odkaz:
http://arxiv.org/abs/2411.05640
Enhanced diffusion, which describes the accelerated spread of passive scalars due to the interaction between advection and molecular diffusion, has been extensively studied in simplified geometries, such as uniform shear and radial flows. However, ma
Externí odkaz:
http://arxiv.org/abs/2411.00244
This work presents a comprehensive framework for enhanced diffusion modeling in fluid-structure interactions by combining the Immersed Boundary Method (IBM) with stochastic trajectories and high-order spectral boundary conditions. Using semi-Lagrangi
Externí odkaz:
http://arxiv.org/abs/2410.22579
This article proposes a hybrid adaptive numerical method based on the Dual Reciprocity Method (DRM) to solve problems with non-linear boundary conditions and large-scale problems, named Hybrid Adaptive Dual Reciprocity Method (H-DRM). The method uses
Externí odkaz:
http://arxiv.org/abs/2410.21567
This article presents a comprehensive analysis of the formation and dissipation of vortices within chaotic fluid flows, leveraging the framework of Sobolev and Besov spaces on Riemannian manifolds. Building upon the Navier-Stokes equations, we introd
Externí odkaz:
http://arxiv.org/abs/2410.20052
This research explores the development and application of the High-Order Dynamic Integration Method for solving integro-differential equations, with a specific focus on turbulent fluid dynamics. Traditional numerical methods, such as the Finite Diffe
Externí odkaz:
http://arxiv.org/abs/2410.17063
Autor:
Santos, Rômulo Damasclin Chaves dos, Sales, Jorge Henrique de Oliveira, Silva, Erickson F. M. S.
This paper presents an innovative framework for analyzing the regularity of solutions to the stochastic Navier-Stokes equations by integrating Sobolev-Besov hybrid spaces with fractional operators and quantum-inspired dynamics. We propose new regular
Externí odkaz:
http://arxiv.org/abs/2410.13154