Well-posedness and approximation of a measure-valued mass evolution problem with flux boundary conditions
2014 (English)In: Comptes rendus. Mathematique, ISSN 1631-073X, E-ISSN 1778-3569, Vol. 352, no 1, 51-54 p.Article in journal (Refereed) Published
This Note deals with imposing a flux boundary condition on a non-conservative measure-valued mass evolution problem posed on a bounded interval. To establish the wellposedness of the problem, we exploit particle system approximations of the mass accumulation in a thin layer near the active boundary. We derive the convergence rate for the approximation procedure as well as the structure of the flux boundary condition in the limit problem.
Place, publisher, year, edition, pages
Elsevier, 2014. Vol. 352, no 1, 51-54 p.
mild solutions, measure-valued equations
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kau:diva-39786DOI: 10.1016/j.crma.2013.11.012ISI: 000330499600011ScopusID: 2-s2.0-84892478779OAI: oai:DiVA.org:kau-39786DiVA: diva2:901168