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math.AP2010★ 2 cited
Late-time/stiff relaxation asymptotic-preserving approximations of hyperbolic equations
Christophe Berthon, Philippe G. LeFloch, Rodolphe Turpault
We investigate the late-time asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws containing stiff relaxation terms. First, we introduce a Chapman-…
math.AP2010
Why many theories of shock waves are necessary. Kinetic relations for nonconservative systems
Christophe Berthon, Frédéric Coquel, Philippe G. LeFloch
For a class of nonconservative hyperbolic systems of partial differential equations endowed with a strictly convex mathematical entropy, we formulate the initial value problem by s…