Preprint A447/2006
On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition
Kenneth Karlsen | B├╝rger, Raimund | Frid, Hermano
Keywords: scalar conservation laws | Neumann problem | strong traces
We study a zero-flux type initial-boundary value problem for scalar conservation laws with a genuinely nonlinear flux. We suggest a notion of entropy solution for this problem and prove its well-posedness. The asymptotic behavior of entropy solutions is also discussed.