| Abstract: | We briefly review different well-posed boundary-value problems for mixed-type equations and their applications in transonic gas dynamics. We present barotropic relations for plane-parallel flow of a compressible gas that leads to mixed-type model equations on the hodograph plane. We also discuss the question on the existence of transonic solutions of profile flow problems, which is closely related to Dirichlet problems in mixed-type domains.__________Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 10, Suzdal Conference-4, 2003. |
