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

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31#
發(fā)表于 2025-3-27 00:05:17 | 只看該作者
0075-8434 ays from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy..978-3-540-92846-1978-3-540-92847-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
32#
發(fā)表于 2025-3-27 04:17:53 | 只看該作者
33#
發(fā)表于 2025-3-27 06:27:04 | 只看該作者
0075-8434 , and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics...Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy a
34#
發(fā)表于 2025-3-27 11:06:24 | 只看該作者
The incompressible Euler limit,sense, which imposes additional conditions either on the solution to the asymptotic equations (“well-prepared initial data“), or on the solutions to the scaled Boltzmann equation (namely some additional non uniform a priori estimates giving in particular the local conservation of momentum and energy).
35#
發(fā)表于 2025-3-27 14:30:55 | 只看該作者
The compressible Euler limit, (including the modulation of the entropy dissipation) should provide the global convergence of weak solutions to the Boltzmann equation towards entropic solutions to the Riemann problem in one space dimension. The main challenge is of course to understand how the entropy dissipation concentrates on shocks and discontinuities.
36#
發(fā)表于 2025-3-27 20:32:58 | 只看該作者
37#
發(fā)表于 2025-3-28 01:07:09 | 只看該作者
Book 2005intense lasers and z-pinches. Research is underway in many areas, such as compressible hydrodynamic mixing, strong shock phenomena, radiation flow, radiative shocks and jets, complex opacities, equations of stat, and relativistic plasmas. Beyond this current research and the papers it is producing,
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