4 citations · 7 across the 5 of their papers we have counts for
5 papers
On the Riemann integrability of the norm of a path in normed spaces
Borys Álvarez-Samaniego, Wilson P. Álvarez-Samaniego, Luis Rivera
A useful result is that if a bounded complex-valued path is Riemann-integrable, then its modulus is also Riemann-integrable. The extension of this last result to bounded paths taki…
On an adjustment to the Fowler equation
Borys Álvarez-Samaniego, Wilson P. Álvarez-Samaniego, Kevin Lloacana-Unda
Following closely the analysis performed by Andrew C. Fowler to derive the first canonical equation for nonlinear dune dynamics, but considering some appropriate changes of variabl…
On the use of the Riesz transforms to determine the pressure term in the incompressible Navier-Stokes equations on the whole space
Borys Álvarez-Samaniego, Wilson P. Álvarez-Samaniego, Pedro G. Fernández-Dalgo
We give some conditions under which the pressure term in the incompressible Navier-Stokes equations on the entire -dimensional Euclidean space is determined by the formula $\dis…
Linearized Einstein's field equations
Wilson P. Álvarez-Samaniego, Borys Álvarez-Samaniego, Douglas Moya-Álvarez
From the Einstein field equations, in a weak-field approximation and for speeds small compared to the speed of light in vacuum, the following system is obtained \begin{align*} \nab…
Some Existence Results on Cantor Sets
Borys Álvarez-Samaniego, Wilson P. Álvarez-Samaniego, Jonathan Ortiz-Castro
The existence of two different Cantor sets, one of them contained in the set of Liouville numbers and the other one inside the set of Diophantine numbers, is proved. Finally, a nec…