Exact solution of the Boltzmann equation

DOI10.1007/BF02019630zbMath0643.76088OpenAlexW2040449808MaRDI QIDQ1102150

Hui-chuan Shen

Publication date: 1987

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02019630

zbMATH Keywords

distribution functionnonlinear Boltzmann equationinverse scattering theory

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Scattering theory for PDEs (35P25) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Cites Work

• The Schrödinger equation of thin shell theories
• Dissipation mechanics and exact solutions for nonlinear equations of dissipative type. Principle and application of dissipation mechanics. I
• The solution of the problem of deflection of an elastic thin plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base
• The relation between the von Kármán equation for the elastic large deflection problem and the Schrödinger equation for the quantum eigenvalues problem
• General solution of elastodynamics
• The Schrödinger equation in theory of plates and shells with orthorhombic anisotropy
• Nonlinear-Evolution Equations of Physical Significance
• Solution of the Boltzmann equation in an unbounded domain
• On the kinetic theory of rarefied gases
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