منابع مشابه
About Kac’s Program in Kinetic Theory
In this Note we present the main results from the recent work [15], which answers several conjectures raised fifty years ago by Kac [9]. There Kac introduced a many-particle stochastic process (now denoted as Kac’s master equation) which, for chaotic data, converges to the spatially homogeneous Boltzmann equation. We answer the three following questions raised in [9]: (1) prove the propagation ...
متن کاملPartial Differential Equations/Probability About Kac’s Program in Kinetic Theory
In this Note we present the main results from the recent work [15], which answers several conjectures raised fifty years ago by Kac [9]. There Kac introduced a many-particle stochastic process (now denoted as Kac’s master equation) which, for chaotic data, converges to the spatially homogeneous Boltzmann equation. We answer the three following questions raised in [9]: (1) prove the propagation ...
متن کاملKinetic Theory
Kinetic theory is the simplest approach that describes the dynamics of enormous numbers of particles. Often it is the only one where we can make progress in actually calculating numbers such as viscosity or electrical conductivity! It describes nearly ideal gases: usually the interactions are only taken into account in the collisions (to be defined below) that lead to the approach to equilibriu...
متن کاملModel Reduction in Kinetic Theory
Methods to derive macroscopic transport equations for rarefied gases from the Boltzmann equations are presented. Featured methods include the Chapman-Enskog expansion, Grad’s moment method, and the author’s order of magnitude method. The resulting macroscopic equations are compared and discussed by means of simple problems, including linear stability, shock wave structures, and Couette flow.
متن کاملEvolution Systems in Kinetic Theory
In this article we cast the unique solvability of a class of nonautonomous kinetic equations in terms of evolution systems, generalizing semigroup results pertaining to the corresponding autonomous kinetic equations. AMS Subject Classification: 47N55, 82C70
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2012
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-012-0422-3