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Measure solutions to a strictly hyperbolic system of conservation laws

Brian T Hayes-+ and Philippe G LeFloch-+,++

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Recommended by S Childress

We study a system of two conservation laws which is strictly hyperbolic, but not genuinely nonlinear. We solve the Riemann problem for the inviscid system in a unique way and find explicit travelling wave solutions for the viscous system. It is established that the solutions must be searched for in the space of bounded Radon measures.


PACS

47.65.-d Magnetohydrodynamics and electrohydrodynamics

02.40.Ky Riemannian geometries

MSC

28C05 Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures

76W05 Magnetohydrodynamics and electrohydrodynamics

Subjects

Fluid dynamics

Mathematical physics

Dates

Issue 6 (November 1996)

Received 17 October 1995, in final form 11 June 1996



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