In this paper we prove vanishing viscosity limits of a coupled chemotaxis-fluid model in a bounded domainΩ■R^(3).The proof is based on the Banach's fixed point theorem and the L^(p)-energy method.In addition,the...In this paper we prove vanishing viscosity limits of a coupled chemotaxis-fluid model in a bounded domainΩ■R^(3).The proof is based on the Banach's fixed point theorem and the L^(p)-energy method.In addition,the L^(∞)-estimates and gradient estimates of the heat equations also play a crucial role.展开更多
In this paper we first establish the uniform regularity of smooth solutions with respect to the viscosity coefficients to the isentropic compressible magnetohydrodynamic system in a periodic domain T;.We then apply ou...In this paper we first establish the uniform regularity of smooth solutions with respect to the viscosity coefficients to the isentropic compressible magnetohydrodynamic system in a periodic domain T;.We then apply our result to obtain the isentropic compressible magnetohydrodynamic system with zero viscosity.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11971234)supported by the National Natural Science Foundation of China(Grant No.12331007)。
文摘In this paper we prove vanishing viscosity limits of a coupled chemotaxis-fluid model in a bounded domainΩ■R^(3).The proof is based on the Banach's fixed point theorem and the L^(p)-energy method.In addition,the L^(∞)-estimates and gradient estimates of the heat equations also play a crucial role.
基金Tsupported by the National Natural Science Foundation of China(No.11971234,11671193)a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions。
文摘In this paper we first establish the uniform regularity of smooth solutions with respect to the viscosity coefficients to the isentropic compressible magnetohydrodynamic system in a periodic domain T;.We then apply our result to obtain the isentropic compressible magnetohydrodynamic system with zero viscosity.
