Optimal control for a mixed flow of Hamiltonian and gradient type in space of probability measures

DOI10.1090/S0002-9947-2013-05634-6zbMath1319.35293OpenAlexW2104689689MaRDI QIDQ2847027

Andrzej Świȩch, Jin Feng

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2013-05634-6

zbMATH Keywords

Navier-Stokes equationsHamiltonian flowsviscosity solutionsmass transport theorycontrolled gradient

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (8)

Optimal transport and large number of particles ⋮ Finite Dimensional Approximations of Hamilton–Jacobi–Bellman Equations for Stochastic Particle Systems with Common Noise ⋮ Viscosity solutions of Hamilton-Jacobi equations in proper \(\text{CAT(0)}\) spaces ⋮ On a class of first order Hamilton-Jacobi equations in metric spaces ⋮ Metric viscosity solutions of Hamilton-Jacobi equations depending on local slopes ⋮ A Hamilton-Jacobi PDE associated with hydrodynamic fluctuations from a nonlinear diffusion equation ⋮ Finite Dimensional Approximations of Hamilton--Jacobi--Bellman Equations in Spaces of Probability Measures ⋮ Value functions in the Wasserstein spaces: finite time horizons

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