Probability measures on the path space and the sticky particle system

DOI10.2422/2036-2145.201803_009zbMath1469.35088arXiv1804.09343OpenAlexW2964115330MaRDI QIDQ5003286

Ryan Hynd

Publication date: 21 July 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.09343

zbMATH Keywords

entropy inequalityperfectly inelastic collisions

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Weak solutions to PDEs (35D30) Initial value problems for first-order hyperbolic systems (35L45) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (5)

Sticky particles and the pressureless Euler equations in one spatial dimension ⋮ On the sticky particle solutions to the multi-dimensional pressureless Euler equations ⋮ Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system ⋮ On the hierarchy and fine structure of blowups and gradient catastrophes for multidimensional homogeneous Euler equation ^* ⋮ Probability measures on path space for rectilinear damped pressureless Euler-Poisson equations

Cites Work

• Convex hulls, sticky particle dynamics and pressure-less gas system
• Probabilistic interpretation of sticky particle model
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Infinite horizon value functions in the Wasserstein spaces
• One-Dimensional Pressureless Gas Systems with/without Viscosity
• A Wasserstein Approach to the One-Dimensional Sticky Particle System
• Pressureless Euler/Euler–Poisson Systems via Adhesion Dynamics and Scalar Conservation Laws
• Sticky Particles and Scalar Conservation Laws
• A Simple Proof of Global Existence for the 1D Pressureless Gas Dynamics Equations
• Well posedness for pressureless flow
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Probability measures on the path space and the sticky particle system