Rigorous iterated solutions to a nonlinear integral evolution problem in particle transport theory

DOI10.1063/1.525221zbMath0502.76090OpenAlexW1964599743MaRDI QIDQ3968665

Giampiero Spiga, Vinicio C. Boffi

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525221

zbMATH Keywords

nonlinearrecursive representation for general solution

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items

On a nonlinear evolution problem of particle transport theory with nonconstant collision frequencies, \(L^ 2\)-stability near equilibrium of the solution of the homogeneous Boltzmann equation in the case of Maxwellian molecules, L\({}^ 1\)-stability of the solutions to an integral evolution equation of the non-linear particle transport theory, Global solutions and \(L^ 1\)-stability to a nonlinear evolution problem in the diffusion of the particles of a mixture, Some rigorous results in nonlinear particle transport theory, Global solution to a nonlinear integral evolution problem in particle transport theory, Tests of a simulation method for a system of Boltzmann equations, Nonlinear evolution problems in the diffusion of the particles of a mixture

Cites Work

• Exact solutions of the Boltzmann equation