Nonlinear boltzmann equation solutions and applications to fluid dynamics

Nicola Bellomo; Patrick Le Tallec; Benoit Perthame

doi:10.1115/1.3005093

Nonlinear boltzmann equation solutions and applications to fluid dynamics

Nicola Bellomo
, Patrick Le Tallec
, Benoit Perthame

Politecnico di Torino
Sorbonne Université

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

This paper provides a review of the mathematical results on the solution of the nonlinear Boltzmann equation. The survey deals both with analytical and computational aspects: Mathematical formulation of problems, initial and/or boundary value problems, a survey of the qualitative analysis of solutions, and computational treatment of fluid dynamical problems. A discussion of some problems deserving further study concludes this work.

Original language	English
Pages (from-to)	777-794
Number of pages	18
Journal	Applied Mechanics Reviews
Volume	48
Issue number	12
DOIs	https://doi.org/10.1115/1.3005093
Publication status	Published - 1 Jan 1995

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title = "Nonlinear boltzmann equation solutions and applications to fluid dynamics",

abstract = "This paper provides a review of the mathematical results on the solution of the nonlinear Boltzmann equation. The survey deals both with analytical and computational aspects: Mathematical formulation of problems, initial and/or boundary value problems, a survey of the qualitative analysis of solutions, and computational treatment of fluid dynamical problems. A discussion of some problems deserving further study concludes this work.",

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AB - This paper provides a review of the mathematical results on the solution of the nonlinear Boltzmann equation. The survey deals both with analytical and computational aspects: Mathematical formulation of problems, initial and/or boundary value problems, a survey of the qualitative analysis of solutions, and computational treatment of fluid dynamical problems. A discussion of some problems deserving further study concludes this work.

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Nonlinear boltzmann equation solutions and applications to fluid dynamics

Abstract

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