论文标题
存在粘度的量子流体动力学中的站立和行进波
Existence of standing and traveling waves in quantum hydrodynamics with viscosity
论文作者
论文摘要
我们证明存在具有线性和非线性粘度的两个量子流体动力系统的驻波存在。此外，由于合适的Lyapunov函数，前者证明了前者的全球行进波的存在，而无需限制粘度和分散参数。这是关于全球存在的改进，导致\ cite {lmz2020}，在那里粘度足够强。
We prove existence of standing waves for two quantum hydrodynamics systems with linear and nonlinear viscosity. Moreover, global existence of traveling waves is proved for the former without restrictions on the viscosity and dispersion parameters, thanks to a suitable Lyapunov function. This is an improvement with respect to the global existence result in \cite{LMZ2020}, where it was required that the viscosity is sufficiently strong.
