L\({}^ 1\)-stability of the solutions to an integral evolution equation of the non-linear particle transport theory

DOI10.1007/BF01556450zbMath0703.76060MaRDI QIDQ916518

Salvatore Rionero, Gabriele Guerriero

Publication date: 1989

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

nonlinear integral equationL\({}^ 1\)-stabilityparticles transportspatially homogeneous Boltzmann

Mathematics Subject Classification ID

Diffusion (76R50) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (1)

Global solutions and \(L^ 1\)-stability to a nonlinear evolution problem in the diffusion of the particles of a mixture

Cites Work

• Application of the similarity method to the nonlinear Boltzmann equation
• Stability in \(L^ 1\) for the spatially homogeneous Boltzmann equation
• The Boltzmann equation for weakly inhomogeneous data
• \(L^ 2\)-stability near equilibrium of the solution of the homogeneous Boltzmann equation in the case of Maxwellian molecules
• On the stability of the solutions to an integral evolution equation of the nonlinear particle transport theory
• Rigorous iterated solutions to a nonlinear integral evolution problem in particle transport theory
• Exact solutions of the Boltzmann equation
• Global solution to a nonlinear integral evolution problem in particle transport theory

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