3 papers
math.AP2026
On product estimates in Besov-Morrey spaces and stationary solutions for the Hall-MHD and Navier-Stokes systems
Lucas C. F. Ferreira, Rafael P. da Silva
In this paper, we investigate the well-posedness of the three-dimensional stationary incompressible resistive-viscous Hall magnetohydrodynamic (Hall-MHD) system within the framewor…
math.AP2026
Well-posedness for the Navier-Stokes equations in Morrey spaces on non-compact manifolds
Víctor Chaves-Santos, Lucas C. F. Ferreira
We analyze the incompressible Navier-Stokes equations on a class of non-compact Riemannian manifolds within the framework of Morrey spaces. Assuming bounded geometry together with…
math.AP2026
On the global well-posedness and self-similar solutions for a nonlinear elliptic problem with a dynamic boundary condition
Lucas C. F. Ferreira, Narayan V. Machaca-León
We are concerned with a semilinear elliptic equation in the half-space, subject to a nonlinear dynamic boundary condition. We establish the global well-posedness of solutions in a…