Remarks on Classical Solutions to Steady Quantum Navier-Stokes Equations  

作　　者：Mohamed Ahmed Abdallah Xu-yang SUN Wei-wei WANG Jun-ping YIN 

机构地区：[1]School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China [2]Mathematics School & Institute, Jilin University, Changchun 130012, China [3]Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

出　　处：《Acta Mathematicae Applicatae Sinica》2016年第4期957-962,共6页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.U1430103)

摘　　要：The paper of Dong [Dong, J. Classical solutions to one-dimensional stationary quantum Navier- Stokes equations, J. Math Pure Appl. 2011] which proved the existence of classical solutions to one-dimensional steady quantum Navier-Stokes equations, when the nonzero boundary value u0 satisfies some conditions. In this paper, we obtain a different version of existence theorem without restriction to u0. As a byproduct, we get the existence result of classical solutions to the stationary quantum Navier-Stokes equations.The paper of Dong [Dong, J. Classical solutions to one-dimensional stationary quantum Navier- Stokes equations, J. Math Pure Appl. 2011] which proved the existence of classical solutions to one-dimensional steady quantum Navier-Stokes equations, when the nonzero boundary value u0 satisfies some conditions. In this paper, we obtain a different version of existence theorem without restriction to u0. As a byproduct, we get the existence result of classical solutions to the stationary quantum Navier-Stokes equations.

关 键 词：quantum Navier-Stokes equations steady solutions stationary solutions Leray-Schauder fixed-point theorem 

分 类 号：O175[理学—数学]