In this talk, we mainly investigate and classify the existence/non-existence, uniqueness/multipleness, regularity/singularity of the physical solutions such as subsonic/supersonic/transonic steady-states of Euler-Poisson equations for semiconductors with sonic boundary. The sonic boundary, a critical case, usually makes the structure of solutions to be various and fantastic, and causes some singularities for the solutions.

Note: This seminar will be held as a Zoom online seminar (only NLPDE seminar members may attend in person).