Journal of Scientific Computing

, Volume 81, Issue 3, pp 1266–1296 | Cite as

A Source of Uncertainty in Computed Discontinuous Flows

  • Michael SeverEmail author


It is speculated that some discontinuous weak solutions of boundary-value problems for nonlinear systems of conservation laws are computed, however routinely, with prescribed boundary data insufficient to uniquely determine such a solution. Stationary, transonic fluid flow exemplifies applications of present concern. A supplemental, a posteriori computation is described, which can potentially resolve this issue in any specific case.


Conservation laws Admissible solutions Discontinuous flow 



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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsThe Hebrew UniversityJerusalemIsrael

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