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The well-posedness of the null-timelike boundary problem for quasilinear waves
KTH, School of Computer Science and Communication (CSC), Numerical Analysis and Computer Science, NADA.
2011 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 28, no 14, 145020- p.Article in journal (Refereed) Published
Abstract [en]

The null-timelike initial-boundary value problem for a hyperbolic system of equations consists of the evolution of data given on an initial characteristic surface and on a timelike worldtube to produce a solution in the exterior of the worldtube. We establish the well-posedness of this problem for the evolution of a quasilinear scalar wave by means of energy estimates. The treatment is given in characteristic coordinates and thus provides a guide for developing stable finite difference algorithms. A new technique underlying the approach has potential application to other characteristic initial-boundary value problems.

Place, publisher, year, edition, pages
2011. Vol. 28, no 14, 145020- p.
Keyword [en]
EINSTEIN EQUATIONS, REDUCTION, FIELDS
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-35629DOI: 10.1088/0264-9381/28/14/145020ISI: 000291789300020Scopus ID: 2-s2.0-79959854508OAI: oai:DiVA.org:kth-35629DiVA: diva2:429414
Note
QC 20110704Available from: 2011-07-04 Created: 2011-07-04 Last updated: 2017-12-11Bibliographically approved

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