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A revision on classical solutions to the Cauchy Boltzmann problem for soft potentials

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Publication:548138
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DOI10.1007/s10955-011-0205-zzbMath1219.82135OpenAlexW2013639607MaRDI QIDQ548138

Irene Martínez Gamba, Ricardo J. Alonso

Publication date: 28 June 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-011-0205-z


zbMATH Keywords

Boltzmann equation for soft potentialsgeneralized and classical solutionsstability in \(L^{p}\) spaces


Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Boltzmann equations (35Q20)


Related Items (2)

On a time and space discretized approximation of the Boltzmann equation in the whole space ⋮ Well-posedness and scattering for the Boltzmann equations: soft potential with cut-off



Cites Work

  • Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with Integrable angular cross section
  • Convolution inequalities for the Boltzmann collision operator


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