Cover Image

Feedback Control and Local Convexification of Wasserstein Gradient Flows

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kalise, Dante, Moschen, Lucas M., Pavliotis, Grigorios A.
Format:	Preprint
Published:	2026
Subjects:	Optimization and Control Analysis of PDEs Dynamical Systems Functional Analysis Primary: 35Q84, 49J20, 93D15. Secondary: 35B40, 49Q22
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Linearization-Based Feedback Stabilization of McKean-Vlasov PDEs
by: Kalise, Dante, et al.
Published: (2025)

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions
by: Chizat, Lénaïc, et al.
Published: (2025)

Hellinger-Kantorovich Gradient Flows: Global Exponential Decay of Entropy Functionals
by: Mielke, Alexander, et al.
Published: (2025)

A Spectral Approach to Optimal Control of the Fokker-Planck Equation
by: Kalise, Dante, et al.
Published: (2025)

Variational structures for the Fokker--Planck equation with general Dirichlet boundary conditions
by: Quattrocchi, Filippo
Published: (2024)

Training-Induced Escape from Token Clustering in a Mean-Field Formulation of Transformers
by: Isobe, Noboru, et al.
Published: (2026)

Gradient flow structure for some nonlocal diffusion equations
by: Warren, Andrew
Published: (2024)

Local Exponential Stability of Mean-Field Langevin Descent-Ascent in Wasserstein Space
by: Seo, Geuntaek, et al.
Published: (2026)

Multi-Headed Transformer Architectures as Time-dependent Wasserstein Gradient Flows
by: Massucco, Alex, et al.
Published: (2026)

Quantitative Convergence of Wasserstein Gradient Flows of Kernel Mean Discrepancies
by: Chizat, Lénaïc, et al.
Published: (2026)

Nonlinear Vlasov-Fokker-Planck equations: From generalized Wasserstein gradient flow to GENERIC structure
by: Liu, Zhenxin, et al.
Published: (2026)

An optimal control problem for Maxwell's equations
by: Bucci, Francesca, et al.
Published: (2024)

A system of continuity equations with nonlocal interactions of Morse type
by: Di Francesco, Marco, et al.
Published: (2024)

A novel way of computing the shape derivative for a class of non-smooth PDEs and its impact on deriving necessary conditions for locally optimal shapes
by: Betz, Livia
Published: (2025)

A trajectorial approach to the gradient flow of McKean-Vlasov SDEs with mobility
by: Liu, Zhenxin, et al.
Published: (2025)

Hamilton--Jacobi equations for controlled gradient flows: cylindrical test functions
by: Conforti, Giovanni, et al.
Published: (2023)

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow
by: Liero, Matthias, et al.
Published: (2025)

On the equivalence between static and dynamic optimal transport governed by linear control systems
by: Einav, Amit, et al.
Published: (2025)

Hamilton--Jacobi equations for Wasserstein controlled gradient flows: existence of viscosity solutions
by: Conforti, Giovanni, et al.
Published: (2024)

Geometric criteria for the existence of capillary surfaces in tubes
by: Saracco, Giorgio
Published: (2024)

The prescribed mean curvature measure equation in non-parametric form
by: Leonardi, Gian Paolo, et al.
Published: (2023)

Hamilton--Jacobi equations for controlled gradient flows: the comparison principle
by: Conforti, Giovanni, et al.
Published: (2021)

A Blob Method for Mean Field Control With Terminal Constraints
by: Craig, Katy, et al.
Published: (2024)

Optimal control for a fourth-order nonisothermal tumor growth model of Caginalp type
by: Cavalleri, Giulia, et al.
Published: (2026)

Optimal control on a brain tumor growth model with lactate metabolism, viscoelastic effects, and tissue damage
by: Cavalleri, Giulia, et al.
Published: (2025)

On the optimization of the first weighted eigenvalue
by: Biswas, Nirjan, et al.
Published: (2021)

A variational perspective on the dissipative Hamiltonian structure of the Vlasov-Fokker-Planck equation
by: Park, Sangmin
Published: (2024)

Measure propagation along a $\mathscr{C}^0$-vector field and wave controllability on a rough compact manifold
by: Burq, Nicolas, et al.
Published: (2023)

Micro-Macro Decomposition of Particle Swarm Optimization Methods
by: Herty, Michael, et al.
Published: (2025)

Perturbations in PDE-constrained optimal control decay exponentially in space
by: Göttlich, Simone, et al.
Published: (2024)

An alternative definition for c-convex functions and another synthetic statement of MTW condition
by: Jeong, Seonghyeon
Published: (2025)

A general Frobenius' Theorem via the Transport of Currents
by: Bonicatto, Paolo
Published: (2025)

Well-posedness of the transport of normal currents by time-dependent vector fields
by: Bonicatto, Paolo, et al.
Published: (2025)

Shape Sensitivity Analysis for a Microchannel Cooling System
by: Blauth, Sebastian, et al.
Published: (2020)

Quadratic convergence of an SQP method for some optimization problems with applications to control theory
by: Casas, Eduardo, et al.
Published: (2025)

Radon--Wasserstein Gradient Flows for Interacting-Particle Sampling in High Dimensions
by: Hess-Childs, Elias, et al.
Published: (2026)

Transport based particle methods for the Fokker-Planck-Landau equation
by: Ilin, Vasily, et al.
Published: (2024)

A gradient flow for the Porous Medium Equations with Dirichlet boundary conditions
by: Kim, Dongkwang, et al.
Published: (2022)

Displacement smoothness of entropic optimal transport
by: Carlier, Guillaume, et al.
Published: (2022)

p-Wasserstein distances on networks and 3D to 1D convergence
by: Burger, Martin, et al.
Published: (2026)