Titlebook: Hydrodynamic Limits of the Boltzmann Equation; Laure Saint-Raymond Book 2009 Springer-Verlag Berlin Heidelberg 2009 Boltzmann equation.dyn

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Mathematical tools for the derivation of hydrodynamic limits,of the expected limiting hydrodynamic model in the corresponding scaled Boltzmann equation. This explains for instance why all hydrodynamic limits are not equally understood..The aim of this chapter is therefore to detail these analogies, focusing our attention on the point of view of functional ana

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The incompressible Euler limit,s the incompresible Navier-Stokes limit presented in the previous chapter..Due to the lack of regularity estimates for inviscid incompressible models, the convergence results describing the incompressible Euler asymptotics of the Boltzmann equation require additional regularity assumptions on the so

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The compressible Euler limit,um of results..We will discuss some perspectives regarding the mathematical treatment of this asymptotics. Slight adaptations of the modulated entropy method presented in the previous chapter should give likewise the local convergence towards smooth solutions to the compressible Euler equations unde

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Laure Saint-Raymondam shares. Islam, however, has also developed a comprehensive system, the Shari’a, that covers all aspects of individual and collective human life. The primary sources of the Shari’a are the Quran (to Muslims, God’s very words) and the traditional teachings and deeds (Sunna) of the Prophet Muhammad.

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Laure Saint-Raymondciation of the Philippines. Ruud ter Meulen and his colleagues provide detailed analysis of the Remmelink Commission‘s report on euthanasia in the Netherlands. Kazumasa Hoshino discusses the fmdings of the Special Committee on Gene Therapy in Japan. As such examples suggest, the activities of many g

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Laure Saint-Raymondciation of the Philippines. Ruud ter Meulen and his colleagues provide detailed analysis of the Remmelink Commission‘s report on euthanasia in the Netherlands. Kazumasa Hoshino discusses the fmdings of the Special Committee on Gene Therapy in Japan. As such examples suggest, the activities of many g

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