Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition
نویسندگان
چکیده
We establish the convergence to equilibrium for various linear collisional kinetic equations (including linearized Boltzmann and Landau equations) with physical local conservation laws in bounded domains general Maxwell boundary condition. Our proof consists establishing an hypocoercivity result associated operator, other words, we exhibit a convenient Hilbert norm which operator is coercive orthogonal of global laws. approach allows us treat all type conditions unified framework. In particular, our includes case vanishing accommodation coefficient thus specific specular reflection
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2022
ISSN: ['0294-1449', '1873-1430']
DOI: https://doi.org/10.4171/aihpc/44