8 papers
Exponential Decay of Solutions to a Fluid-Plate Model with Small Initial Data
Mario Bukal, Igor Kukavica, Linfeng Li +1
We consider a three-dimensional fluid-structure interaction problem coupling the incompressible Navier-Stokes equations in a time-dependent domain with a square-root damped plate e…
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…
Upper bounds of nodal sets for Gevrey regular parabolic equations
Guher Camliyurt, Igor Kukavica, Linfeng Li
We consider the size of the nodal set of the solution of the second order parabolic-type equation with Gevrey regular coefficients. We provide an upper bound as a function of time.…
On the local existence of solutions to the Navier-Stokes-wave system with a free interface
Igor Kukavica, Linfeng Li, Amjad Tuffaha
We address a system of equations modeling a compressible fluid interacting with an elastic body in dimension three. We prove the local existence and uniqueness of a strong solution…
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…