Painlevé test and a self-similar solution of the kinetic model

DOI10.1007/S10958-023-06702-9OpenAlexW4387519371MaRDI QIDQ6184093

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Publication date: 24 January 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06702-9

zbMATH Keywords

self-similar solutionPainlevé testMcKean system

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Self-similar solutions to PDEs (35C06) Boltzmann equations (35Q20)

Cites Work

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• Stationary solutions of the kinetic Broadwell model
• Solutions of discrete-velocity Boltzmann equations via Bateman and Riccati equations
• On discrete kinetic equations
• Exact \((1+1)\)-dimensional solutions of discrete planar velocity Boltzmann models.
• Local equilibrium of the Carleman equation
• The Painlevé property for partial differential equations
• О скорости стабилизации решений задачи Коши для уравнения Карлемана с периодическими начальными данными
• ON DISCRETE MODELS OF THE QUANTUM BOLTZMANN EQUATION

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