Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Kelliher, James P."'
Autor:
Kelliher, James P., Lacave, Christophe, Filho, Milton C. Lopes, Lopes, Helena J. Nussenzveig, Titi, Edriss S.
We study the three-dimensional incompressible Navier-Stokes equations in a smooth bounded domain $\Omega$ with initial velocity $u_0$ square-integrable, divergence-free and tangent to $\partial \Omega$. We supplement the equations with the Navier fri
Externí odkaz:
http://arxiv.org/abs/2303.03489
We study vortex patches for the 2D incompressible Euler equations. Prior works on this problem take the support of the vorticity (i.e., the vortex patch) to be a bounded region. We instead consider the horizontally periodic setting. This includes bot
Externí odkaz:
http://arxiv.org/abs/2209.14481
We establish short-time existence of solutions to the surface quasi-geostrophic equation in both the H\"{o}lder spaces $C^r(\mathbb{R}^2)$ for $r>1$ and the uniformly local Sobolev spaces $H^s_{ul}(\mathbb{R}^2)$ for $s\geq 3$. Using methods similar
Externí odkaz:
http://arxiv.org/abs/2206.05861
The 3D incompressible Euler equations in a bounded domain are most often supplemented with impermeable boundary conditions, which constrain the fluid to neither enter nor leave the domain. We establish the well-posedness of solutions with inflow, out
Externí odkaz:
http://arxiv.org/abs/2203.15180
In 1983, Antontsev, Kazhikhov, and Monakhov published a proof of the existence and uniqueness of solutions to the 3D Euler equations in which on certain inflow boundary components fluid is forced into the domain while on other outflow components flui
Externí odkaz:
http://arxiv.org/abs/2203.14410
Publikováno v:
In Journal of Differential Equations 15 August 2023 364:107-151
Autor:
Cozzi, Elaine, Kelliher, James P.
We prove the uniqueness and finite-time existence of bounded-vorticity solutions to the 2D Euler equations having velocity growing slower than the square root of the distance from the origin, obtaining global existence for more slowly growing velocit
Externí odkaz:
http://arxiv.org/abs/1709.07422
Autor:
Gie, Gung-Min, Kelliher, James P., Filho, Milton C. Lopes, Mazzucato, Anna L., Lopes, Helena J. Nussenzveig
The focus of this paper is on the analysis of the boundary layer and the associated vanishing viscosity limit for two classes of flows with symmetry, namely, Plane-Parallel Channel Flows and Parallel Pipe Flows. We construct explicit boundary layer c
Externí odkaz:
http://arxiv.org/abs/1706.06039
The viscous and inviscid aggregation equation with Newtonian potential models a number of different physical systems, and has close analogs in 2D incompressible fluid mechanics. We consider a slight generalization of these equations in the whole spac
Externí odkaz:
http://arxiv.org/abs/1608.01348
Autor:
Bae, Hantaek, Kelliher, James P.
In 1993, Chemin proved that vorticity possessing negative Holder regularity in directions given by a sufficient family of vector fields (striated regularity) maintains such regularity for all time when measured against the push-forward of those vecto
Externí odkaz:
http://arxiv.org/abs/1508.01915