Spectrum Analysis of Some Kinetic Equations
Spectrum Analysis of Some Kinetic Equations
复制标题
DOI：
10.1007/s00205-016-1010-2
复制
发表时间：
2016-05
影响因子：
2.5
通讯作者：
Tong Yang;Hongjun Yu
中科院分区：
文献类型：
--
作者：
Tong Yang;Hongjun Yu
We analyze the spectrum structure of some kinetic equations qualitatively by using semigroup theory and linear operator perturbation theory. The models include the classical Boltzmann equation for hard potentials with or without angular cutoff and the Landau equation with. As an application, we show that the solutions to these two fundamental equations are asymptotically equivalent (mod time decay rate) asto that of the compressible Navier–Stokes equations for initial data around an equilibrium state.
