The minimum speed for a blocking problem on the half plane

DOI10.1016/j.jmaa.2009.02.039zbMath1162.92041OpenAlexW2069434059WikidataQ59263964 ScholiaQ59263964MaRDI QIDQ1023003

Tao Wang, Alberto Bressan

Publication date: 10 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.02.039

zbMATH Keywords

differential inclusionconstrained minimum time problemfire blocking problem

Mathematics Subject Classification ID

Related Items (11)

An equivalence theorem on minimum sheltering speed for non-convex habitats ⋮ Optimality conditions for a blocking strategy involving delaying ARCS ⋮ On the optimal strategy for an isotropic blocking problem ⋮ On a Fire Fighter’s Problem ⋮ Optimal control of first-order Hamilton-Jacobi equations with linearly bounded Hamiltonian ⋮ Hamilton-Jacobi equations with obstacles ⋮ Equivalent formulation and numerical analysis of a fire confinement problem ⋮ Geometric firefighting in the half-plane ⋮ Dynamic sheltering problem and an existence theorem for admissible strategies ⋮ On the regularity of optimal dynamic blocking strategies ⋮ Global optimality conditions for a dynamic blocking problem

Cites Work

• Differential inclusions and the control of forest fires
• Equivalent formulation and numerical analysis of a fire confinement problem
• BLOCKING STRATEGIES FOR A FIRE CONTROL PROBLEM
• Existence of optimal strategies for a fire confinement problem
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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