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math.AP2023
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…
math.AP2023
On the topological size of the class of Leray solutions with algebraic decay
Lorenzo Brandolese, Cilon F Perusato, Paulo R Zingano
In 1987, Michael Wiegner in his seminal paper [17] provided an important result regarding the energy decay of Leray solutions to the incompressible Navier-…
nlin.SI2023
Asymptotic soliton-like and asymptotic peakon-like solutions of the modified Camassa-Holm equation with variable coefficients and singular perturbation
Lorenzo Brandolese, Yuliia Samoilenko, Valerii Samoilenko
The paper deals with the construction of the asymptotic soliton-like and the asymptotic peakon-like solutions to the modified Camassa-Holm equation with variable coefficicents and…