Zobrazeno 1 - 10
of 24 169
pro vyhledávání: '"Sales P"'
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
Autor:
Freundlich, Jonathan, Sharma, Gauri, Thater, Sabine, Das, Mousumi, Famaey, Benoit, Freese, Katherine, Korsaga, Marie, Lavalle, Julien, Ma, Chung Pei, Mogotsi, Moses, Popescu, Cristina, Rizzo, Francesca, Sales, Laura V., Sanchez-Conde, Miguel A., van de Ven, Glenn, Zhao, Hongsheng, Zocchi, Alice
Dark matter is one of the pillars of the current standard model of structure formation: it is assumed to constitute most of the matter in the Universe. However, it can so far only be probed indirectly through its gravitational effects, and its nature
Externí odkaz:
http://arxiv.org/abs/2411.07605
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
Autor:
Elliott, Charles M., Sales, Thomas
In this paper we study semi-discrete and fully discrete evolving surface finite element schemes for the Cahn-Hilliard equation with a logarithmic potential. Specifically we consider linear finite elements discretising space and backward Euler time di
Externí odkaz:
http://arxiv.org/abs/2411.05650
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
Autor:
Elliott, Charles M., Sales, Thomas
We consider the existence of suitable weak solutions to the Cahn-Hilliard equation with a non-constant (degenerate) mobility on a class of evolving surfaces. We also show weak-strong uniqueness for the case of a positive mobility function, and under
Externí odkaz:
http://arxiv.org/abs/2410.24147
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