Singular limits of quasilinear hyperbolic systems in a bounded domain of R 3 with applications to Maxwell’s equations
1985; Mathematical Sciences Publishers; Volume: 116; Issue: 1 Linguagem: Inglês
10.2140/pjm.1985.116.111
ISSN1945-5844
Autores Tópico(s)Stability and Controllability of Differential Equations
ResumoWe establish a singular perturbation result for quasi-linear hyperbolic systems in a bounded domain of R 3 , depending on a small parameter.We prove and estimate the rate of convergence, as the parameter tends to zero, of uniformly stable solutions of the complete system to a solution of the reduced system.This result is then applied to the study of the convergence of the complete Maxwell equations to the quasi-stationary ones.
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