The compressible Navier-Stokes-Poisson equations constitute a fundamental mathematical framework that couples the classical compressible Navier-Stokes equations with a Poisson equation governing the ...

Finite element methods (FEM) continue to be a cornerstone of computational science, offering robust strategies for the numerical solution of partial differential equations, including those governing ...

In this paper, we show how standard techniques can be used to obtain new "almost"-Lipschitz estimates for the classical Riesz potentials acting on Lp-spaces in the supercritical exponent. Whereas ...

The present article is dedicated to the numerical solution of the Poisson equation on domains with a thin layer of different conductivity and of random thickness. By changing the boundary condition, ...