6 papers
Asymptotic profiles and large-time behavior for 3D micropolar fluid equations with possibly vanishing spin viscosity
Lorenzo Brandolese, Pablo Braz e Silva, Adriana Valentina Busuioc +2
We consider 3D micropolar flows with possible vanishing spin viscosity and investigate the decay of the energy for large times. We compute first the exact -asymptotic profile,…
On the Role of the Viscosity Parameters in the Large Time Asymptotics of 2D Micropolar Flows
Lorenzo Brandolese, Adriana Valentina Busuioc, Dragos Iftimie +1
We investigate the role of the four viscosity parameters, in fluids where the particles possess a microstructure (micropolar flows) and are allowed to rotate in a two-dimensional s…
Non-Algebraic Decay for Solutions to the Navier-Stokes Equations
Lorenzo Brandolese, Matthieu Pageard, Cilon F. Perusato
Around forty years ago, Michael Wiegner provided, in a seminal paper, sharp algebraic decay rates for solutions of the Navier--Stokes equations, showing that these solutions behave…
Solutions of the Navier-Stokes equations with forced rapid space-time decay
Lorenzo Brandolese, Matthieu Pageard
We study the pointwise decay properties of solutions to the incompressible Navier-Stokes equations, both in the space and time variables. It is well known that generic global solut…
Forced Rapidly Dissipative Navier--Stokes Flows
Lorenzo Brandolese, Takahiro Okabe
We show that, by acting on a finite number of parameters of a compactly supported control force, we can increase the energy dissipation rate of any small solution of the Navier--St…
Large self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field
Lorenzo Brandolese, Grzegorz Karch
The Navier-Stokes system for an incompressible fluid coupled with the equation for a heat transfer is considered in the whole three dimensional space. This system is invariant unde…