论文标题
在临界温度附近的冷凝水平液相互作用的方程式线性系统上
On the linearized system of equations for the condensate-normal fluid interaction near the critical temperature
论文作者
论文摘要
在其均衡围绕临界温度附近的玻色子的凝结气体的动力学理论中产生的方程系统线性化的库奇问题,用于径向对称的初始数据。事实证明,线性化系统具有满足大量初始数据的自然保护法的全球经典解决方案。描述了溶液的一些规律性及其长时间的渐近行为。
The Cauchy problem for the linearization of a system of equations arising in the kinetic theory of a condensed gas of bosons near the critical temperature around one of its equilibria is solved for radially symmetric initial data. It is proved that the linearized system has global classical solutions that satisfy the natural conservation laws for a large set of initial data. Some regularity properties of the solutions and their long time asymptotic behavior are described.