Asymptotic expansions for linear symmetric hyperbolic systems with small parameter

Abstract

The boundary layer functions method of Lyusternik-Vishik is used to obtain asymptotic expansions of the solutions to the Cauchy problem for linear symmetric hyperbolic systems with constant coefficients as the small parameter $varepsilon$ tends to zero.

Keywords

• hyperbolic systems
• asymptotic expansions
• boundary layer functions
• singular perturbations.