On blowup for gain-term-only classical and relativistic Boltzmann equations

DOI10.1002/mma.555zbMath1174.82323arXivmath-ph/0402024OpenAlexW1753662795MaRDI QIDQ3156977

Simone Calogero, Reinhard Illner, Håakan Andréasson

Publication date: 12 January 2005

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0402024

zbMATH Keywords

Boltzmann equationrelativistic Boltzmann equationblowup

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) PDEs in connection with relativity and gravitational theory (35Q75) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (12)

Global solution to the relativistic Enskog equation with near-vacuum data ⋮ Global solutions to the Cauchy problem for the relativistic Boltzmann equation with near-vacuum data ⋮ Asymptotic stability of the relativistic Boltzmann equation for the soft potentials ⋮ On the global existence of mild solutions to the Boltzmann equation for small data in \(L^D\) ⋮ Propagation of \(L^p\) estimates for the spatially homogeneous relativistic Boltzmann equation ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Uniform \(L^{1}\)-stability estimate of the Boltzmann equation near a local Maxwellian ⋮ The relativistic quantum Boltzmann equation near equilibrium ⋮ Propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation ⋮ UNIFORM L²-STABILITY ESTIMATES FOR THE RELATIVISTIC BOLTZMANN EQUATION ⋮ Asymptotic stability of the relativistic Boltzmann equation without angular cut-off ⋮ The spatially homogeneous Boltzmann equation for massless particles in an FLRW background

Cites Work

• Unnamed Item
• The relativistic Boltzmann equation: Theory and applications
• The Boltzmann equation: global existence for a rare gas in an infinite vacuum
• The Boltzmann equation and its applications
• The Boltzmann equation. I. Uniqueness and local existence
• The mathematical theory of dilute gases
• On the singularities of the global small solutions of the full Boltzmann equation
• Blow-up of solutions of the gain-term-only Boltzmann equation
• Asymptotic stability of the relativistic Maxwellian via fourteen moments
• Boltzmann Equation with Infinite Energy: Renormalized Solutions and Distributional Solutions for Small Initial Data and Initial Data Close to a Maxwellian
• On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability

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