On the stability of the solutions to an integral evolution equation of the nonlinear particle transport theory

DOI10.1007/BF01556903zbMath0668.76096OpenAlexW4242898086MaRDI QIDQ1118494

Gabriele Guerriero, Salvatore Rionero

Publication date: 1987

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01556903

zbMATH Keywords

stabilityintegral equationinitial dataBoltzmann integro-differential equationparticles transport theory

Mathematics Subject Classification ID

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

Related Items (3)

\(L^ 2\)-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

Cites Work

• Exact solutions of the Boltzmann equation
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