Blow-up rate estimates for the solutions of the bosonic Boltzmann-Nordheim equation
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Publication:5264375
DOI10.1063/1.4921917zbMath1320.35249arXiv1411.5460OpenAlexW1606845354MaRDI QIDQ5264375
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Publication date: 27 July 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.5460
Kinetic theory of gases in equilibrium statistical mechanics (82B40) Blow-up in context of PDEs (35B44) Boltzmann equations (35Q20) PDEs with measure (35R06)
Related Items (7)
Long time convergence of the Bose-Einstein condensation ⋮ On the quantum Boltzmann equation near Maxwellian and vacuum ⋮ Numerical study of Bose-Einstein condensation in the Kaniadakis-Quarati model for bosons ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Long time strong convergence to Bose-Einstein distribution for low temperature ⋮ The spatially homogeneous Boltzmann equation for Bose-Einstein particles: rate of strong convergence to equilibrium ⋮ On the singularity formation and relaxation to equilibrium in 1D Fokker-Planck model with superlinear drift
Cites Work
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- Kinetics of the Bose-Einstein condensation
- Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation
- The Boltzmann equation for Bose-Einstein particles: condensation in finite time
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- On the fundamental solution of a linearized Uehling-Uhlenbeck equation
- On isotropic distributional solutions to the Boltzmann equation for Bose-Einstein particles
- On the blow up and condensation of supercritical solutions of the Nordheim equation for bosons
- The Boltzmann equation for Bose-Einstein particles: velocity concentration and convergence to equilibrium
- On the theory of Weak Turbulence for the Nonlinear Schrödinger Equation
- Singular solutions for the Uehling–Uhlenbeck equation
- Dynamical formation of a Bose-Einstein condensate
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