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

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: \u2022 SBV-like regularity of vanishing viscosity BV solutions to strict hyperbolic systems of conservation laws. \u2022 Global structure of admissible BV solutions to strict hyperbolic conservation laws

Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity

For the hyperbolic system of quasilinear first-order partial differential equations, linearizable by hodograph transformation, the conservation laws are used to solve the Cauchy problem. The equivalence of the initial problem for quasilinear system and the problem for conservation laws system permits to construct the characteristic lines in domains, where Jacobian of hodograph transformations is equal to zero. Moreover, the conservation laws give all solutions of the linearized system. Some examples from the gas dynamics and theory of plasticity are considered

Hyperbolic Conservation Laws

[no abstract available

Hyperbolic Conservation Laws

[no abstract available