DOI10.1051/m2an/2010035zbMath1271.34020arXiv0901.0984OpenAlexW2095881925WikidataQ58478349 ScholiaQ58478349MaRDI QIDQ2836471
Juliette Venel, Bertrand Maury
Publication date: 3 July 2013
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0901.0984
Congested transport at microscopic and macroscopic scales ⋮
Necessary conditions for optimal control problems with sweeping systems and end point constraints ⋮
Optimal control of a nonconvex perturbed sweeping process ⋮
The Pontryagin Maximum Principle in the Wasserstein space ⋮
Prox-regularity approach to generalized equations and image projection ⋮
Towards a mathematical theory of behavioral human crowds ⋮
Generalized collision-free velocity model for pedestrian dynamics ⋮
Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes ⋮
Sweeping processes with prescribed behavior on jumps ⋮
Optimal control for the evolution of deterministic multi-agent systems ⋮
Projection Process with Definable Right-Hand Side ⋮
Distance function associated to a prox-regular set ⋮
Control of multi-agent systems: results, open problems, and applications ⋮
Optimal control with sweeping processes: numerical method ⋮
From short-range repulsion to Hele-Shaw problem in a model of tumor growth ⋮
Convex and nonconvex sweeping processes with velocity constraints: well-posedness and insights ⋮
Human behavioral crowds review, critical analysis and research perspectives ⋮
Crowd motion and evolution PDEs under density constraints ⋮
BV prox-regular sweeping process with bounded truncated variation ⋮
Unnamed Item ⋮
Optimization and discrete approximation of sweeping processes with controlled moving sets and perturbations ⋮
Unnamed Item ⋮
Wasserstein distance, Fourier series and applications ⋮
On optimal control of a sweeping process coupled with an ordinary differential equation ⋮
Game-theoretic and inhibition-based models for crowd motion ⋮
A Cucker--Smale Inspired Deterministic Mean Field Game with Velocity Interactions ⋮
\{Euclidean, metric, and Wasserstein\} gradient flows: an overview ⋮
A numerical scheme for a class of sweeping processes ⋮
Stochastic perturbation of sweeping process and a convergence result for an associated numerical scheme ⋮
Convex valued geodesics and applications to sweeping processes with bounded retraction ⋮
Existence of solutions for second-order differential inclusions involving proximal normal cones ⋮
Global asymptotic stability of nonconvex sweeping processes ⋮
Particle Dynamics Subject to Impenetrable Boundaries: Existence and Uniqueness of Mild Solutions ⋮
Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮
Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives ⋮
Crowd motion from the granular standpoint ⋮
Optimal control involving sweeping processes ⋮
Optimal control of sweeping processes in robotics and traffic flow models
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