Large data solutions to the viscous quantum hydrodynamic model with barrier potential
Large data solutions to the viscous quantum hydrodynamic model with barrier potential
We discuss analytically the stationary viscous quantum hydrodynamic model including a barrier potential, which is a nonlinear system of partial differential equations of mixed order in the sense of Douglis–Nirenberg. Combining a reformulation by means of an adjusted Fermi level, a variational functional, and a fixed point problem, we prove …