韩国裸舞

Title:聽Quasilinear systems and multiple Riemann waves

Abstract: In this talk I will focus on the connection between two seemingly unrelated concepts for solving a general form of
first-order hyperbolic quasilinear systems of PDEs聽in many dimensions. These concepts are based on a variant of the
conditional symmetry method and on the generalized method of characteristics. I will present the outline of recent results on multiple Riemann wave solutions of these systems. An auxiliary result concerning a modification of the Frobenius聽theorem will be established. We use this result to obtain formulae describing the k-wave solutions in closed form. These theoretical considerations are illustrated by examples of hydrodynamic-type systems.

CRM-Salle 4336-4384, Pav. Andr茅 Aisenstadt