Titlebook: Asymptotic Modelling in Fluid Mechanics; Proceedings of a Sym Pierre-Antoine Bois,Emmanuel Dériat,Alain Rigolot Conference proceedings 1995

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The Spontaneous Collapse Theory,Existence theorems have been recently proved by several authors for the initial-boundary value problem for the nonlinear Boltzmann equation. Here we wish to survey and extend these results and show the basic role that an inequality first introduced by Darrozés and Guiraud plays in this matter.

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On global existence theorems for the initial-boundary value problem for the Boltzmann equation,Existence theorems have been recently proved by several authors for the initial-boundary value problem for the nonlinear Boltzmann equation. Here we wish to survey and extend these results and show the basic role that an inequality first introduced by Darrozés and Guiraud plays in this matter.

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Turbulent entrance flow in a channel: An asymptotic approach, be taken into account by asymptotic methods. Contrary to the laminar flow situation, there is no need for an extra expansion in the immediate entrance region. The downstream expansion which results from a leading order momentum equation of slender channel type can be also used from the very beginning of the channel.

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Conference proceedings 1995 selected topics are as follows: vorticity and turbulence, hydrodynamic instability, non-linear waves, aerodynamics and rarefied gas flows. The last chapter of the book broadens the perspective with an overview of other issues pertaining to asymptotics, presented in a didactic way.

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Foundations of Quantum Mechanics has been investigated experimentally for different values of the non-dimensional gap width ε between the cylinders. It is shown that onset of instability and the structure of the resulting flow regimes, namely non-axisymmetric vortices, Taylor vortices and the related descrete layer formation stron

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Spectrum of Two-Electron Systems,ndary layers are usually not treated as asymptotically correct solutions. Hence, for commonly used prediction methods the turbulent boundary layers have to be determined for each Reynolds number separately..It is shown for attached turbulent flows that the consequent application of asymptotic method

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