Remarks on Classical Solutions to Steady Quantum Navier-Stokes Equations

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

作者机构：School of Mathematical Sciences Xiamen University Xiamen 361005 China Mathematics School & Institute Jilin University Changchun 130012 China Institute of Applied Physics and Computational Mathematics Beijing 100088 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2016年第32卷第4期

页      面：957-962页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：quantum Navier-Stokes equations steady solutions stationary solutions Leray-Schauder fixed-point theorem 

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.