Contents Online
Communications in Mathematical Sciences
Volume 15 (2017)
Number 4
Transport-collapse scheme for scalar conservation laws: initial-boundary value problem
Pages: 1055 – 1071
DOI: https://dx.doi.org/10.4310/CMS.2017.v15.n4.a7
Authors
Abstract
We extend Brenier’s transport collapse scheme on the initial-boundary value problem for scalar conservation laws. It is based on averaging out the solution to the corresponding kinetic equation, and it leads to a new solution concept for the problem under consideration. We also provide numerical examples.
Keywords
scalar conservation laws, well posedness, mixed problem, transport-collapse scheme, kinetic formulation
2010 Mathematics Subject Classification
35L65, 65M25
Published 16 May 2017