论文标题
关于量子流体系统在耗散溶液类别中的适当性
On well-posedness of quantum fluid systems in the class of dissipative solutions
论文作者
论文摘要
当前工作的主要对象是量子纳维尔 - 斯托克斯和量子欧拉系统。特别是对于第一个，我们将考虑恒定的粘度系数。我们处理耗散解决方案的概念，为此，我们将首先证明弱的独特原则，然后，我们将显示任何有限的能量初始数据的全球存在。最后，我们将证明这两个系统都接受了耗散解决方案类别中的半流选择。
The main objects of the present work are the quantum Navier-Stokes and quantum Euler systems; for the first one, in particular, we will consider constant viscosity coefficients. We deal with the concept of dissipative solutions, for which we will first prove the weak-strong uniqueness principle and afterwards, we will show the global existence for any finite energy initial data. Finally, we will prove that both systems admit a semiflow selection in the class of dissipative solutions.
