Tracking Control of 1D Scalar Conservation Laws in the Presence of Shocks

DOI10.1007/978-3-319-05254-0_15zbMath1325.49032OpenAlexW1043407954MaRDI QIDQ2948984

Rodrigo Lecaros, Enrique Zuazua

Publication date: 7 October 2015

Published in: Trends in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-05254-0_15

zbMATH Keywords

optimal controlsensitivity analysistracking problem1D scalar conservation lawsalternating descent method

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Hyperbolic conservation laws (35L65) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (4)

Filtered Gradient Algorithms for Inverse Design Problems of One-Dimensional Burgers Equation ⋮ Initial data identification in conservation laws and Hamilton-Jacobi equations ⋮ A third-order weighted essentially non-oscillatory scheme in optimal control problems governed by nonlinear hyperbolic conservation laws ⋮ Optimal Boundary Control of Hyperbolic Balance Laws with State Constraints

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