Exact solutions of the Boltzmann equations with a source

DOI10.1134/S0021894418020013zbMath1393.35139OpenAlexW2804777180WikidataQ129775654 ScholiaQ129775654MaRDI QIDQ1662658

Yu. N. Grigor'ev, Amornrat Suriyawichitseranee, Sergey V. Meleshko

Publication date: 20 August 2018

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0021894418020013

zbMATH Keywords

Boltzmann equationinvariant solutionssource functionisotropic distribution function

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Boltzmann equations (35Q20)

Related Items (3)

Equivalence group and exact solutions of the system of nonhomogeneous Boltzmann equations ⋮ Exact solutions of population balance equations for breakage and growth processes, using group analysis ⋮ CLOSED FORM EXPRESSION OF THE QUANTILE FUNCTION OF MAXWELL-BOLTZMANN DISTRIBUTION

Cites Work

• Enhanced preliminary group classification of a class of generalized diffusion equations
• Application of the similarity method to the nonlinear Boltzmann equation
• Symmetries of integro-differential equations. With applications in mechanics and plasma physics
• Application of a Lie group admitted by a homogeneous equation for group classification of a corresponding inhomogeneous equation
• Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term
• A generalized BKW solution of the nonlinear Boltzmann equation with removal
• Comments on ‘‘A generalized BKW solution of the nonlinear Boltzmann equation with removal’’ [Phys. Fluids 2 7, 2599 (1984)]
• Nonlinear diffusion of test particles in the presence of an external conservative force
• Preliminary group classification of equations v t t=f (x,v x)v x x+g(x,v x)
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