Konstantina Trivisa, University of Maryland
"Hyperbolic conservation laws with large initial data "
Quasilinear systems in divergence form, commonly known as "hyperbolic conservation laws", govern a broad spectrum of physical phenomena in compressible fluid dynamics, nonlinear materials science, particle physics, semiconductors, combustion, multi-phase flows, astrophysics and other applied areas. Such equations admit solutions that may exhibit various kinds of shocks and other nonlinear waves, which play an significant role in multiple areas of physics. In this talk we discuss the qualitative behavior of solutions to hyperbolic conservation laws and we present results on the wellposedness of systems with large initial data.
THURSDAY, January 9, 2003