Exact Controllability of Scalar Conservation Laws with an Additional Control in the Context of Entropy Solutions | Zendy

Vincent Perrollaz | Zendy

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Exact Controllability of Scalar Conservation Laws with an Additional Control in the Context of Entropy Solutions

Author(s) -

Vincent Perrollaz

Publication year - 2012

Publication title -

siam journal on control and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.486

H-Index - 116

eISSN - 1095-7138

pISSN - 0363-0129

DOI - 10.1137/110833129

Subject(s) - conservation law , controllability , scalar (mathematics) , mathematics , entropy (arrow of time) , regular polygon , boundary value problem , law , mathematical analysis , mathematical optimization , physics , geometry , quantum mechanics , political science

International audienceIn this paper, we study the exact controllability problem for nonlinear scalar con-servation laws on a compact interval, with a regular convex flux and in the framework of entropy solutions. With the boundary data and a source term depending only on the time as controls, we provide sufficient conditions for a state to be reachable in arbitrary small time. To do so we introduce a slightly modified wave-front tracking algorithm

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