A model for peak formation in the two-phase equations
2007 (English)In: Mathematics of Computation, ISSN 0025-5718, E-ISSN 1088-6842, Vol. 76, no 260, 1925-1940 p.Article in journal (Refereed) Published
We present a hyperbolic-elliptic model problem related to the equations of two-phase fluid flow. The model problem is solved numerically, and properties of its solution are presented. The model equation is well-posed when linearized around a constant state, but there is a strong focusing effect, and very large solutions exist at certain times. We prove that the model problem has a smooth solution for bounded times.
Place, publisher, year, edition, pages
2007. Vol. 76, no 260, 1925-1940 p.
IdentifiersURN: urn:nbn:se:kth:diva-4941DOI: 10.1090/S0025-5718-07-01992-8ISI: 000249415700011ScopusID: 2-s2.0-38849134785OAI: oai:DiVA.org:kth-4941DiVA: diva2:7144
QC 201008242005-02-162005-02-162010-10-18Bibliographically approved