Global existence and asymptotic behavior of self-similar solutions for the Navier-Stokes-Nernst-Planck-Poisson system in \(\mathbb R^3\)
Summary: We study the Navier-Stokes-Nernst-Planck-Poisson system modeling the flow of electrohydrodynamics. For small initial data, the global existence, uniqueness, and asymptotic stability as time goes to infinity of self-similar solutions to the Cauchy problem of this system posed in the whole three dimensional space are proved in the function spaces of pseudomeasure type.
scientific article; zbMATH DE number 6013182
scientific article