Effective Hamiltonians and averaging for Hamiltonian dynamics. II

DOI10.1007/s002050100181zbMath1100.37039OpenAlexW3015340070MaRDI QIDQ1599483

Diogo Aguiar Gomes, Lawrence C. Evans

Publication date: 10 June 2002

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050100181

Mathematics Subject Classification ID

Related Items (18)

The selection problem for some first-order stationary mean-field games ⋮ Homogenization of nonlinear scalar conservation laws ⋮ Effective Hamiltonian dynamics via the Maupertuis principle ⋮ Mather measures for space-time periodic nonconvex Hamiltonians ⋮ Towards weak KAM theory at relative equilibrium ⋮ Unnamed Item ⋮ Viscosity solutions methods for converse KAM theory ⋮ A weak KAM approach to the periodic stationary Hartree equation ⋮ Two approaches to minimax formula of the additive eigenvalue for quasiconvex Hamiltonians ⋮ A mean-field game approach to price formation ⋮ Limit theorems for optimal mass transportation and applications to networks ⋮ An approximation scheme for the effective Hamiltonian and applications ⋮ A Hamilton-Jacobi PDE associated with hydrodynamic fluctuations from a nonlinear diffusion equation ⋮ Minimizers of Dirichlet functionals on the \(n\)-torus and the weak KAM theory ⋮ Weak KAM theory for action minimizing random walks ⋮ The Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures ⋮ Birkhoff's theorem and viscosity solutions of Hamilton-Jacobi equations ⋮ The variational structure and time-periodic solutions for mean-field games systems

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