Dissipative solutions to Hamiltonian systems

DOI10.3934/krm.2023019OpenAlexW4382791556MaRDI QIDQ6192362

Giacomo Maria Leccese, Stefano Bianchini

Publication date: 12 February 2024

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2023019

zbMATH Keywords

dissipative solutionsprobability measuresHamiltonian flowconservative solutionssticky particles

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Degenerate hyperbolic equations (35L80) Collisions in celestial mechanics, regularization (70F16) Initial value problems for first-order hyperbolic equations (35L03)

Cites Work

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• Sticky particle dynamics with interactions
• Transport equation and Cauchy problem for BV vector fields
• Newton's second law with a semiconvex potential
• Non-existence and non-uniqueness for multidimensional sticky particle systems
• Duality theorems for marginal problems
• A Wasserstein Approach to the One-Dimensional Sticky Particle System
• Sticky Particles and Scalar Conservation Laws
• A Simple Proof of Global Existence for the 1D Pressureless Gas Dynamics Equations
• Hamiltonian ODEs in the Wasserstein space of probability measures
• On the sticky particle solutions to the multi-dimensional pressureless Euler equations

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