output
20092025
most citedIdentities involving values of Bernstein, q-Bernoulli and q-Euler polynomials

103 citations

Showing 2022 · math.APShow all

6 papers · 2 filters

math.AP2022

Forces for the Navier-Stokes equations and the Koch and Tataru theorem

P. G. Lemarié-Rieusset

We consider the Cauchy problem for the incompressible Navier--Stokes equations on the whole space , with initial value (as in Koch and Ta…

math.AP2022

Non Linear Singular Drifts and Fractional Operators

Diego Chamorro, Stéphane Menozzi

We consider parabolic PDEs associated with fractional type operators drifted by non-linear singular first order terms. When the drift enjoys some boundedness properties in appropri…

math.AP2022

Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension

Thomas Alazard, Martina Magliocca, Nicolas Meunier

We study an incompressible Darcy's free boundary problem, recently introduced in [22]. Our goal is to prove the existence of non-trivial traveling wave solutions and thus validate…

math.AP2022★ 5 cited

On Double Hölder Regularity of the Hydrodynamic Pressure in Bounded Domains

Luigi De Rosa, Mickaël Latocca, Giorgio Stefani

We prove that the hydrodynamic pressure associated to the velocity , , of an inviscid incompressible fluid in a bounded and simply connected domain $Ω\s…

math.AP2022★ 2 cited

Some existence and regularity results for a non-local transport-diffusion equation with fractional derivatives in time and space

Diego Chamorro, Miguel Yangari

We study the existence of global weak solutions of a nonlinear transport-diffusion equation with a fractional derivative in the time variable and under some extra hypotheses, we al…

math.AP2022

Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients

P Chaudru de Raynal, S Menozzi, A Pesce +1

We establish heat kernel and gradient estimates for the density of kinetic degenerate Kolmogorov stochastic differentia equations. Our results are established under somehow minimal…