We prove the local-in-time existence of solutions with a surface of current-vortex sheet
(tangential discontinuity) of the equations of ideal compressible magnetohydrodynamics in …

Through a deep investigation on the structure of the coefficient matrix of the globally
hyperbolic regularized moment equations for the Boltzmann equation in [Z. Cai, Y. Fan, and …

We consider the initial-boundary value problem for linear Friedrichs symmetrizable systems
with characteristic boundary of constant rank. We assume the existence of the strong L2 …

This paper is devoted to initial boundary value problems for quasi-linear symmetric
hyperbolic systems in a domain with characteristic boundary. It extends the theory on linear …

A promising approach to investigating high-dimensional problems is to identify their
intrinsically low-dimensional features, which can be achieved through recently developed …

The stability and existence of compressible vortex sheets is studied for two-dimensional
isentropic elastic flows. This problem has a free boundary with extra difficulties that the …

In this paper, we address the problem of artificial boundary conditions for the symmetric
linearized hyperbolic formulation of Einstein's equations introduced in [AM Alekseenko, DN …

Important mathematical models in science and technology are based on first-order
symmetric hyperbolic systems of differential equations whose solutions must satisfy certain …

The research of Professor Paolo Secchi concerns the theory of partial differential equations,
especially from fluid dynamics. In the course of his activity, Paolo studied many arguments …

Various real‐life applications lead to first‐order symmetric hyperbolic (FOSH) systems of
differential equations whose solutions must satisfy certain constraint equations. This chapter …