Free Boundary Value Problems of Heat Flow Around Aerodynamic Bodies and Control Theory

摘要

Research results concerned primarily with qualitative aspects of free boundary problems are reviewed. These results are in the following areas: (1) existence and uniqueness for the one-phase nonhomogeneous Stefan problem, (2) continuous dependence on the data for the same problem, (3) existence of solution and behavior of the free boundary for the general one-phase Stefan problem, (4) behavior of the free boundary when it coincides initially with the fixed face, (5) convergence when the latent heat goes to zero, and (6) existence and uniqueness for free boundary problems for the heat equation in which Cauchy data is prescribed on the free boundary. (Author)