3 papers
math.AP2024
On the Existence and Smoothness of the Navier-Stokes Equation I
Brian David Vasquez Campos
In this paper, we give a sufficient condition to guarantee the existence of a smooth solution of the Navier-Stokes Equation with the nice decreasing properties at infinity. In this…
math.SP2024
A Class of Matrix Schrödinger Bispectral Operators
Brian D. Vasquez Campos
We prove the bispectrality of some class of matrix Schrödinger operators with polynomial potentials that satisfy a second-order matrix autonomous differential equation. The physica…
math.SP2022
Noncommutative Bispectral Algebras and their Presentations
Brian D. Vasquez, Jorge P. Zubelli
We prove a general result on presentations of finitely-generated algebras and apply it to obtain nice presentations for some noncommutative algebras arising in the matrix bispectra…