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…
The Asymptotic Behaviour of Oldroyd-B Fluids is Almost Newtonian
Matthias Hieber, Thieu Huy Nguyen, César J. Niche +1
Consider a viscoelastic fluid of Oldroyd-B type. It is shown that its stress tensor and its Newtonian deformation tensor decay at the same rate, while the elastic part…
Exponential blow-up of mild solutions to the fractional Boussinesq equations in the Gevrey class
Wilberclay G. Melo, Cilon Perusato, Thyago S. R. Santos
This work establishes conditions for the existence and uniqueness of local mild solutions to the Boussinesq equations with fractional dissipations in Sobolev-Gevrey spaces. We prov…
Asymptotic Equivalence and Decay Characterization in Second-Grade Fluid Equations
Felipe W. Cruz, César J. Niche, Cilon F. Perusato +1
We establish new asymptotic results for the solutions of the second-grade fluids equations and characterize their decay rate in terms of the behavior of the initial data. Moreover,…