摘要
该文证明了在非单调压力情形下量子Navier-Stokes方程弱解的全局存在性.受Antonelli Spirito(Arch Ration Mech Anal,2017,255:1161-1199)和Ducomet-Necasová-Vasseur(Z Angew Math Phys,2010,61:479-491)工作的启发,该文构造了含有冷压力项和阻尼项的逼近解系统,然后由B-D熵估计和Mellet-Vasseur不等式得到了相应的紧性.
In this paper,we proved the global existence of weak solutions to the quantum Navier-Stokes equations with non-monotone pressure.Motivated by the work of AntonelliSpirito(Arch Ration Mech Anal,2017,255:1161-1199)and Ducomet-Necasová-Vasseur(Z Angew Math Phys,2010,61:479-491),we construct the suitable approximate system and obtain the corresponding compactness by B-D entropy estimate and Mellet-Vasseur inequality.
作者
唐童
牛聪
Tang Tong;Niu Cong(Department of Mathematics,College of Science,Yangzhou University,Jiangsu Yangzhou 225002;Department of Mathematics,College of Science,Hohai University,Nanjing 210098)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2022年第2期387-400,共14页
Acta Mathematica Scientia
基金
国家自然科学基金(11801138)。
