New estimations of the nonlinear Boltzmann operator and their application to existence theorems

DOI10.1080/00411458908204323zbMath0699.35238OpenAlexW2059827576MaRDI QIDQ3477386

Jacek Polewczak

Publication date: 1989

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458908204323

zbMATH Keywords

Boltzmann equationnonlinear collision operator

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

New properties of a class of generalized kinetic equations

Cites Work

• Unnamed Item
• \(L^{\infty}\) estimates for the space-homogeneous Boltzmann equation
• The Enskog-Boltzmann equation in the whole space \({\mathbb{R}}^ 3:\) Some global existence, uniqueness and stability results
• On the nonlinear Boltzmann equation in unbounded domains
• Classical solution of the nonlinear Boltzmann equation in all \({\mathbb{R}}^ 3\): asymptotic behavior of solutions.
• Global Existence and Asymptotic Behavior for the Nonlinear Enskog Equation
• The Boltzmann equation: Flow of cloud of gas past a body
• On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability

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