Prescribing Initial Values for the Sticky Particle System (Survey)

DOI10.1007/978-3-030-42687-3_16zbMath1440.35210OpenAlexW3042571762MaRDI QIDQ5118675

Ryan Hynd

Publication date: 26 August 2020

Published in: Advances in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-42687-3_16

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Euler equations (35Q31)

Cites Work

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• Convex hulls, sticky particle dynamics and pressure-less gas system
• Probabilistic interpretation of sticky particle model
• An existence theorem in the large for zero-pressure gas dynamics
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Non-existence and non-uniqueness for multidimensional sticky particle systems
• Hydrodynamic limit of granular gases to pressureless Euler in dimension 1
• 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
• d-Dimensional Pressureless Gas Equations
• Well posedness for pressureless flow

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