Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks

From MaRDI portal
Publication:2981859

DOI10.24033/asens.2323zbMath1382.35075arXiv1306.2428OpenAlexW2949468636MaRDI QIDQ2981859

Cyril Imbert, Régis Monneau

Publication date: 10 May 2017

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.2428




Related Items (43)

Effective nonlinear Neumann boundary conditions for 1D nonconvex Hamilton-Jacobi equationsAsymptotic Spreading for General Heterogeneous Fisher-KPP Type EquationsConvexity preserving properties for Hamilton-Jacobi equations in geodesic spacesTime-dependent Hamilton-Jacobi equations on networksEffective transmission conditions for Hamilton-Jacobi equations defined on two domains separated by an oscillatory interfaceSpecified homogenization of a discrete traffic model leading to an effective junction conditionFlux-limited solutions and state constraints for quasi-convex Hamilton-Jacobi equations in multidimensional domainsQuasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional caseGlobal results for eikonal Hamilton-Jacobi equations on networksDiscontinuous solutions of Hamilton-Jacobi equations on networksThe Lax-Oleinik semigroup on graphsHomogenization of a microscopic pedestrians model on a convergent junctionAubry–Mather theory on graphsEffective junction conditions for degenerate parabolic equationsHomogenization of some periodic Hamilton-Jacobi equations with defectsLax–Oleinik Formula on NetworksHamilton-Jacobi equations for optimal control on networks with entry or exit costsJunction conditions for finite horizon optimal control problems on multi-domains with continuous and discontinuous solutionsError estimates for a finite difference scheme associated with Hamilton-Jacobi equations on a junctionA continuous dependence estimate for viscous Hamilton-Jacobi equations on networks with applicationsMicroscopic derivation of a traffic flow model with a bifurcationViscosity solutions of Hamilton-Jacobi equations in proper \(\text{CAT(0)}\) spacesRegularizing effect for unbounded flux-limited viscosity solutions of a discontinuous Hamilton-Jacobi equation on junctionFinite horizon mean field games on networksA flame propagation model on a network with application to a blocking problemFlux-limited and classical viscosity solutions for regional control problemsEquivalence of solutions of eikonal equation in metric spacesA Semi-Lagrangian Scheme for Hamilton--Jacobi--Bellman Equations on NetworksA Differential Model for Growing Sandpiles on NetworksConvergence \& rates for Hamilton-Jacobi equations with Kirchoff junction conditionsA piecewise deterministic Markov toy model for traffic/maintenance and associated Hamilton-Jacobi integrodifferential systems on networksAveraging of Hamilton-Jacobi equations along divergence-free vector fieldsHomogenization of second order discrete model with local perturbation and application to traffic flowHomogenization of a transmission problem with Hamilton-Jacobi equations and a two-scale interface. Effective transmission conditionsInfinite horizon problems on stratifiable state-constraints setsWell-posedness for vanishing viscosity solutions of scalar conservation laws on a networkOn the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution ControlsMean field games with state constraints: from mild to pointwise solutions of the PDE systemAsymptotic solution and effective Hamiltonian of a Hamilton-Jacobi equation in the modeling of traffic flow on a homogeneous signalized roadHomogenization of a discrete model for a bifurcation and application to traffic flowAsymptotic spreading of KPP reactive fronts in heterogeneous shifting environmentsStochastic homogenization of Hamilton-Jacobi equations on a junctionA general comparison principle for Hamilton Jacobi Bellman equations on stratified domains




This page was built for publication: Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks