12 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 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…
Observability from a measurable set for functions in a Gevrey class
Igor Kukavica, Linfeng Li
We provide an observability inequality in terms of a measurable set for general Gevrey regular functions. As an application, we establish an observability estimate from a measurabl…
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.…
A regularity result for the free boundary compressible Euler equations of a liquid
Linfeng Li
We derive a priori estimates for the compressible free boundary Euler equations in the case of a liquid without surface tension. We provide a new weighted functional framework whic…
Lagrangian time-analyticity for the Euler equations in a Sobolev domain
Juhi Jang, Igor Kukavica, Linfeng Li
Assuming only Sobolev regularity of the domain, we prove time-analyticity of Lagrangian trajectories for solutions of the Euler equations.
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…
Mach limits in analytic spaces on exterior domains
Juhi Jang, Igor Kukavica, Linfeng Li
We address the Mach limit problem for the Euler equations in an exterior domain with analytic boundary. We first prove the existence of tangential analytic vector fields for the ex…
Mach limits in analytic spaces
Juhi Jang, Igor Kukavica, Linfeng Li
We address the Mach limit problem for the Euler equations in the analytic spaces. We prove that, given analytic data, the solutions to the compressible Euler equations are uniforml…