Formation of singularities for multi-dimensional transport equations with nonlocal velocity [PDF]
arXiv, 2021 This paper is concerned with a class of multi-dimensional transport equations with nonlocal velocity. It is shown that the local smooth solution cannot exist globally in time via the De Giorgi iteration technique.
arxiv
Liouville Type Theorem for Stationary Navier-Stokes Equations [PDF]
, 2015 It is shown that any smooth solution to the stationary Navier-Stokes system in $R^3$ with the velocity field, belonging globally to $L_6$ and $BM0^{-1}$, must be zero.
arxiv +1 more source
A remark on weak-strong uniqueness for suitable weak solutions of the Navier-Stokes equations [PDF]
arXiv, 2021 We extend Barker's weak-strong uniqueness results for the Navier--Stokes equations and consider a criterion involving Besov spaces and weighted Lebesgue spaces.
arxiv
A new proof of existence in the L3-setting of solutions to the Navier-Stokes Cauchy problem [PDF]
arXiv, 2022 We investigate on the existence of solutions with initial datum U0 in L3. Our chief goal is to establish the existence interval (0,T) uniquely considering the size and the absolute continuity of |U0(x)|3.
arxiv
Heat and Hall Effect of an Oscillating Plate in a Porous Medium [PDF]
, 2013 An exact solution of the flow of heat and viscous fluid on a porous plate by using perturbation is obtained for the conjugate problem of an electrically conducting fluid in the presence of strong magnetic field by introducing the Hall currents.
Okedoye, A.M.
core
Remarks on Liouville Type Theorems for Steady-State Navier-Stokes Equations [PDF]
, 2017 Liouville type theorems for the stationary Navier-Stokes equations are proven under certain assumptions. These assumptions are motivated by conditions that appear in Liouvile type theorems for the heat equations with a given divergence free drift.
arxiv +1 more source
Cylindrical Symplectic Representation and Global Regular Solution of Incompressible Navier-Stokes Equations in $\mathbb{R}^3$ [PDF]
arXiv, 2023 The existence and uniqueness of global regular solution of incompressible Navier-Stokes equations in $\mathbb{R}^3$ are derived provided the initial velocity vector field holds a special structure.
arxiv
A counterexample to the smoothness of the solution to an equation arising in fluid mechanics [PDF]
, 2002 We analyze the equation coming from the Eulerian-Lagrangian description of fluids. We discuss a couple of ways to extend this notion to viscous fluids. The main focus of this paper is to discuss the first way, due to Constantin.
Montgomery-Smith, Stephen +1 more
core +1 more source
Attractors for a deconvolution model of turbulence [PDF]
arXiv, 2008 We consider a deconvolution model for 3D periodic flows. We show the existence of a global attractor for the model.
arxiv
Extension of a discontinuous Galerkin finite element method to viscous rotor flow simulations [PDF]
, 2005 Heavy vibratory loading of rotorcraft is relevant for many operational aspects of helicopters, such as the structural life span of (rotating) components, operational availability, the pilot's comfort, and the effectiveness of weapon targeting systems.
Boelens, O.J. +4 more
core +4 more sources