4 papers
Strong time-periodic solutions for a multilayered fluid-structure interaction system with nonlinear coupling
Felix Brandt, Claudiu Mîndrilă, Arnab Roy
We investigate a time-periodic fully three-dimensional fluid-structure interaction system in which the Navier-Stokes equations for an incompressible viscous fluid are coupled with…
A new approach for the regularity of weak solutions of the 3D Boussinesq system
Diego Chamorro, Claudiu Mîndrilă
We address here the problem of regularity for weak solutions of the 3D Boussinesq equation. By introducing the new notion of partial suitable solutions, which imposes some conditio…
Time-periodic weak solutions for an incompressible Newtonian fluid interacting with an elastic plate
Claudiu Mîndrilă, Sebastian Schwarzacher
Under the action of a time-periodic external forces we prove the existence of at least one time-periodic weak solution for the interaction between a three-dimensional incompressibl…
Existence of steady very weak solutions to Navier-Stokes equations with non-Newtonian stress tensors
Claudiu Mîndrilă, Sebastian Schwarzacher
We provide existence of very weak solutions and new a-priori estimates for steady flows of non-Newtonian fluids when the right-hand sides are not in the natural existence class. To…