The structure and regularity of admissible BV solutions to hyperbolic conservation laws in one space dimension

摘要

This thesis is devoted to the study of the qualitative properties of admissible BV solutions to the strictly hyperbolic conservation laws in one space dimension by using wave-front tracking approximation. This thesis consists of two parts:ud• SBV-like regularity of vanishing viscosity BV solutions to strict hyperbolic systems of conservation laws.ud• Global structure of admissible BV solutions to strict hyperbolic conservation laws.