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Showing 2007 · math.APShow all
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math.AP2007
Hyperbolic Conservation Laws and Hydrodynamic Limit for Particle Systems
Gui-Qiang Chen, Nadine Even, Christian Klingenberg
We study the following class of scalar hyperbolic conservation laws with discontinuous fluxes: \partial_tρ+\partial_xF(x,ρ)=0. The main feature of such a conservation law is the di…
math.AP2007
Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws
G. Q. Chen, M. Torres, W. Ziemer
We analyze a class of weakly differentiable vector fields (\FF \colon \rn \to \rn) with the property that (\FF\in L^{\infty}) and (÷\FF) is a Radon measure. The primary focus of ou…