1 citations · 2 across the 12 of their papers we have counts for
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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…
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…
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,…