Reconstruction of turbulent data with deep generative models for semantic inpainting from TURB-Rot database
We study the applicability of tools developed by the computer vision community for feature
learning and semantic image inpainting to perform data reconstruction of fluid turbulence …
learning and semantic image inpainting to perform data reconstruction of fluid turbulence …
Reconstructing occluded elevation information in terrain maps with self-supervised learning
Accurate and complete terrain maps enhance the awareness of autonomous robots and
enable safe and optimal path planning. Rocks and topography often create occlusions and …
enable safe and optimal path planning. Rocks and topography often create occlusions and …
Real-time neural dense elevation mapping for urban terrain with uncertainty estimations
Having good knowledge of terrain information is essential for improving the performance of
various downstream tasks on complex terrains, especially for the locomotion and navigation …
various downstream tasks on complex terrains, especially for the locomotion and navigation …
[HTML][HTML] Decay characterization of solutions to Navier–Stokes–Voigt equations in terms of the initial datum
CJ Niche - Journal of Differential Equations, 2016 - Elsevier
Abstract The Navier–Stokes–Voigt equations are a regularization of the Navier–Stokes
equations that share some of its asymptotic and statistical properties and have been used in …
equations that share some of its asymptotic and statistical properties and have been used in …
Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data
We propose a data assimilation algorithm for the 2D Navier-Stokes equations, based on the
Azouani, Olson, and Titi (AOT) algorithm, but applied to the 2D Navier-Stokes-Voigt …
Azouani, Olson, and Titi (AOT) algorithm, but applied to the 2D Navier-Stokes-Voigt …
Analysis of a general family of regularized Navier–Stokes and MHD models
We consider a general family of regularized Navier–Stokes and Magnetohydrodynamics
(MHD) models on n-dimensional smooth compact Riemannian manifolds with or without …
(MHD) models on n-dimensional smooth compact Riemannian manifolds with or without …
Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit
The Navier-Stokes-Voigt model of viscoelastic incompressible fluid has been recently
proposed as a regularization of the three-dimensional Navier-Stokes equations for the …
proposed as a regularization of the three-dimensional Navier-Stokes equations for the …
A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization
We report the results of a computational investigation of two blow-up criteria for the 3D
incompressible Euler equations. One criterion was proven in a previous work, and a related …
incompressible Euler equations. One criterion was proven in a previous work, and a related …
Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations
We prove existence, uniqueness, and higher-order global regularity of strong solutions to a
particular Voigt-regularization of the three-dimensional inviscid resistive …
particular Voigt-regularization of the three-dimensional inviscid resistive …
A Navier–Stokes–Voight model with memory
CG Gal, T Tachim Medjo - Mathematical Methods in the …, 2013 - Wiley Online Library
In this article, we consider a three‐dimensional Navier–Stokes–Voight model with memory
where relaxation effects are described through a distributed delay. We prove the existence …
where relaxation effects are described through a distributed delay. We prove the existence …