Daniel Marroquin Rodriguez

Universidade Federal do Rio de Janeiro, Brazil

Title: Weak solutions of the compressible Poisson-Nernst-Planck-Navier-Stokes equations

Abstract: We consider the compressible Poisson-Nernst-Planck-Navier-Stokes (PNPNS) system of equations, which models the transport of charged particles, under the influence of the self-consistent electrostatic potential, in a compressible fluid. We study the equations posed on a smooth bounded spatial domain of R3 and consider a set of boundary conditions motivated by physical considerations. Then we prove the existence of global weak solutions for the initial/boundary value problem, without restrictions on the size of the initial data. This is a joint work with Dehua Wang.