Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Lopes, H J"'
Lei and Lin have recently given a proof of a global mild solution of the three-dimensional Navier-Stokes equations in function spaces based on the Wiener algebra. An alternative proof of existence of these solutions was then developed by Bae, and thi
Externí odkaz:
http://arxiv.org/abs/2205.12383
In this article we study the limit when $\alpha \to 0$ of solutions to the $\alpha$-Euler system in the half-plane, with no-slip boundary conditions, to weak solutions of the 2D incompressible Euler equations with non-negative initial vorticity in th
Externí odkaz:
http://arxiv.org/abs/2002.09879
In this article, we study the homogenization limit of a family of solutions to the incompressible 2D Euler equations in the exterior of a family of $n_k$ disjoint disks with centers $\{z^k_i\}$ and radii $\varepsilon_k$. We assume that the initial ve
Externí odkaz:
http://arxiv.org/abs/1510.05864
This note addresses the question of energy conservation for the 2D Euler system with an $L^p$-control on vorticity. We provide a direct argument, based on a mollification in physical space, to show that the energy of a weak solution is conserved if $
Externí odkaz:
http://arxiv.org/abs/1509.03213
We consider the $\alpha$-Euler equations on a bounded three-dimensional domain with frictionless Navier boundary conditions. Our main result is the existence of a strong solution on a positive time interval, uniform in $\alpha$, for $\alpha$ sufficie
Externí odkaz:
http://arxiv.org/abs/1509.01625
Publikováno v:
Ann. IHP Anal non-Lin. 26 (2009), 2521-2537
We study the limiting behavior of viscous incompressible flows when the fluid domain is allowed to expand as the viscosity vanishes. We describe precise conditions under which the limiting flow satisfies the full space Euler equations. The argument i
Externí odkaz:
http://arxiv.org/abs/0810.3255
Publikováno v:
Comm. Math. Phys. 287 (2009), 99-115
In this article we consider viscous flow in the exterior of an obstacle satisfying the standard no-slip boundary condition at the surface of the obstacle. We seek conditions under which solutions of the Navier-Stokes system in the exterior domain con
Externí odkaz:
http://arxiv.org/abs/0801.4935
Publikováno v:
Bull. Braz. Math. Soc. v. 39 (2008), 471-513
We continue the work of Lopes Filho, Mazzucato and Nussenzveig Lopes [LMN], on the vanishing viscosity limit of circularly symmetric viscous flow in a disk with rotating boundary, shown there to converge to the inviscid limit in $L^2$-norm as long as
Externí odkaz:
http://arxiv.org/abs/0709.2056
Publikováno v:
Quart. Appl. Math v. 65 (2007) 499-521
In [Math. Meth. Appl. Sci. 19 (1996) 53-62], C. Marchioro examined the problem of vorticity confinement in the exterior of a smooth bounded domain. The main result in Marchioro's paper is that solutions of the incompressible 2D Euler equations with c
Externí odkaz:
http://arxiv.org/abs/math/0608541
Publikováno v:
Math. Ann. v. 336 (2006), 449-489
In this work we study the asymptotic behavior of viscous incompressible 2D flow in the exterior of a small material obstacle. We fix the initial vorticity $\omega_0$ and the circulation $\gamma$ of the initial flow around the obstacle. We prove that,
Externí odkaz:
http://arxiv.org/abs/math/0509354