15 citations · 35 across the 40 of their papers we have counts for
5 papers · 2 filters
Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity
Igor Kukavica, Weinan Wang
We address long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity in the cases of the torus, , and on a bounded domain with Lions or Di…
A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension
Marcelo M. Disconzi, Igor Kukavica, Amjad Tuffaha
We consider the three-dimensional incompressible free-boundary Euler equations in a bounded domain and with surface tension. Using Lagrangian coordinates, we establish a priori est…
Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity
Igor Kukavica, Weinan Wang
We address the persistence of regularity for the 2D -fractional Boussinesq equations with positive viscosity and zero diffusivity in general Sobolev spaces, i.e., for $(u_{0}, ρ…
Existence of global weak solutions to the Navier-Stokes equations in weighted spaces
Zachary Bradshaw, Igor Kukavica, Tai-Peng Tsai
We obtain a global existence result for the three-dimensional Navier-Stokes equations with a large class of data allowing growth at spatial infinity. Namely, we show the global exi…
The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary
Igor Kukavica, Vlad Vicol, Fei Wang
We address the inviscid limit for the Navier-Stokes equations in a half space, with initial datum that is analytic only close to the boundary of the domain, and has finite Sobolev…