Conditions on the pressure for vanishing velocity in the incompressible fluid flows [PDF]
arXiv, 2011 In this paper we derive various sufficient conditions on the pressure for vanishing velocity in the incompressible Navier-Stokes and the Euler equations in $\Bbb R^N$.
arxiv
Inertial forces in the Navier-Stokes equation [PDF]
arXiv, 2011 We estimate the inertial force field in the 3d Euler/Navier-Stokes equation in function of |u|_\infty and |\nabla u |_\infty and provide an application to the well-posed ...
arxiv
Existence of Strong Solutions for the 3D Navier-Stokes System [PDF]
arXiv, 2012 Regularity properties of strong solutions are considered.
arxiv
Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems [PDF]
arXiv, 2014 We present a Lagrangian-Eulerian strategy for proving uniqueness and local existence of solutions in path spaces of limited smoothness for a class of incompressible hydrodynamic models including Oldroyd-B type complex fluid models and zero magnetic resistivity magneto-hydrodynamics equations.
arxiv
A fundamental solution to the time-periodic Stokes equations [PDF]
arXiv, 2015 The concept of a fundamental solution to the time-periodic Stokes equations in dimension $n\geq 2$ is introduced. A fundamental solution is then identified and analyzed. Integrability and pointwise estimates are established.
arxiv
Uniqueness of the Leray-Hopf solution for a dyadic model [PDF]
arXiv, 2015 The dyadic problem $\dot u_n + \lambda^{2n} u_n - \lambda^{\beta n} u_{n-1}^2 + \lambda^{\beta(n+1)} u_n u_{n+1} = 0$ with "smooth" initial data is considered. The uniqueness of the Leray-Hopf solution is proved.
arxiv
A Liouville Type Theorem for Steady-State Navier-Stokes Equations [PDF]
arXiv, 2016 A Liouville type theorem is proven for the steady-state Navier-Stokes equations. It follows from the corresponding theorem on the Stokes equations with the drift. The drift is supposed to belong to a certain Morrey space.
arxiv
COMPUTING ILL-POSED TIME-REVERSED 2D NAVIER-STOKES EQUATIONS, USING A STABILIZED EXPLICIT FINITE DIFFERENCE SCHEME MARCHING BACKWARD IN TIME. [PDF]
Inverse Probl Sci Eng, 2020 Carasso AS.
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A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient
Open Mathematics, 2014 Bosia Stefano +2 more
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STABLE EXPLICIT STEPWISE MARCHING SCHEME IN ILL-POSED TIME-REVERSED 2D BURGERS' EQUATION. [PDF]
Inverse Probl Sci Eng, 2019 Carasso AS.
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