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On the optimization of the initial boundary value problem for a conservation law

On the optimization of the initial boundary value problem for a conservation law.
descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2004 Italy English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 291, pages 82-99 (issn: 0022-247X, Copyright policy )
Authors: COLOMBO, Rinaldo Mario; GROLI ALESSANDRO;

doi: 10.1016/j.jmaa.2003.10.032

handle: 11379/20116

On the optimization of the initial boundary value problem for a conservation law

Abstract

The authors study an initial boundary value problem (IVBP) for a scalar conservation law. It is shown that the theory of shift differentiability can be extended to this case. Then a certain functional on the solutions of IVBP is considered and a necessary condition for its stationary points are deduced by means of the obtained first order shift expansion.

Country
Italy
Related Organizations
Keywords

Euler-Lagrange equation, Applied Mathematics, Euler–Lagrange equation, Initial boundary value problem, Initial-boundary value problems for first-order hyperbolic systems, first order shift expansion, initial boundary value problem, Hyperbolic conservation laws, conservation laws, shift differentiability, Analysis, Conservation laws

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
hybrid