4 papers · 2 filters
A global existence result on weak solutions for the 3D Navier-Stokes-plate system with no contact
Mario Bukal, Igor Kukavica, Linfeng Li +1
We consider the three-dimensional fluid-structure interaction system modeling a system consisting of a viscous incompressible fluid and an elastic plate forming its moving upper bo…
Stability threshold of close-to-Couette shear flows with no-slip boundary conditions in 2D
Jacob Bedrossian, Siming He, Sameer Iyer +2
In this paper, we develop a stability threshold theorem for the 2D incompressible Navier-Stokes equations on the channel, supplemented with the no-slip boundary condition. The init…
A no-contact result for a plate-fluid interaction system in dimension three
Mario Bukal, Igor Kukavica, Linfeng Li +1
We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described…
Nodal set for the Schrödinger equation under a local growth condition
Igor Kukavica, Linfeng Li
We address the upper bound on the size of the nodal set for a solution of the Schrödinger equation in an open set in , where the coeffic…