Quasi-Neutral Limit Problem of Planck-Nernst-Poisson-Navier-Stokes Equations for Electro-Hydrodynamics

Explore the quasi-neutral limit problem of Planck-Nernst-Poisson-Navier-Stokes equations for electro-hydrodynamics in this 57-minute conference talk. Delve into the rigorous establishment of quasi-neutrality theory from a mathematical perspective, examining its significance in physics, particularly in semiconductors and plasma. Review multi-scaling structure stability theory on quasi-neutral limit, boundary layer, initial layer, and mixed layer problems for drift-diffusion models in semiconductors. Gain insights into recent advancements in well-posedness theory and quasi-neutral limit problem on Planck-Nernst-Poisson-Navier-Stokes equations for electro-hydrodynamics.