Preprint A447/2006
On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition

Kenneth Karlsen | Bürger, 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.