One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws

DOI10.1016/j.matpur.2016.04.005zbMath1368.35180OpenAlexW2344425392MaRDI QIDQ727847

Lei Yu, Ta-Tsien Li

Publication date: 21 December 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2016.04.005

zbMATH Keywords

nonlinear boundary conditionsboundary controls\(\varepsilon\)-approximate front tracking solutionssemi-global entropy solution

Mathematics Subject Classification ID

Controllability (93B05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Related Items (7)

Time-periodic isentropic supersonic Euler flows in one-dimensional ducts driving by periodic boundary conditions ⋮ Local exact boundary controllability of entropy solutions to linearly degenerate quasilinear hyperbolic systems of conservation laws ⋮ Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions ⋮ The Exact Boundary Controllability of Nodal Profile for Entropy Solutions to 1-D Quasilinear Hyperbolic Systems of Conservation Laws with Linearly Degenerate Negative (Resp., Positive) Characteristic Fields ⋮ On the controllability of entropy solutions of scalar conservation laws at a junction via Lyapunov methods ⋮ Local Exact One-Sided Boundary Null Controllability of Entropy Solutions to a Class of Hyperbolic Systems of Balance Laws ⋮ Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems

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