Measure valued solutions of scalar conservation laws with boundary conditions
1989 (English)In: Archive for Rational Mechanics and Analysis, ISSN 0003-9527, E-ISSN 1432-0673, Vol. 107, no 2, 181-193 p.Article in journal (Refereed) Published
We define a solution concept for measure-valued solutions to scalar conservation laws with initial conditions and boundary conditions and prove a uniqueness theorem for such solutions. This result may be used to prove convergence, towards the unique solution, for approximate solutions which are uniformly bounded in L∞, weakly consistent with certain entropy inequalities and strongly consistent with the initial condition, i.e. without using derivative estimates. As an example convergence of a finite element method is demonstrated.
Place, publisher, year, edition, pages
NEW YORK: Springer-Verlag New York, 1989. Vol. 107, no 2, 181-193 p.
IdentifiersURN: urn:nbn:se:kth:diva-51551DOI: 10.1007/BF00286499ISI: A1989AJ89000005OAI: oai:DiVA.org:kth-51551DiVA: diva2:464500
QC 201112142011-12-132011-12-132011-12-14Bibliographically approved