In this article, we study the electromagnetic fluid system in three-dimensional whole space R^3. Under assumption of small initial data, we establish the unique global solution by energy method. Moreover, we obtain th...In this article, we study the electromagnetic fluid system in three-dimensional whole space R^3. Under assumption of small initial data, we establish the unique global solution by energy method. Moreover, we obtain the time decay rates of the higher-order spatial derivatives of the solution by combining the L^p-L^q estimates for the linearized equations and an elaborate energy method when the L^1-norm of the perturbation is bounded.展开更多
基金partially supported by the National Natural Science Foundation of China(11501373,11701380,11271381)Guangdong Provincial Culture of Seedling of China(2013LYM0081)+2 种基金the Natural Science Foundation of Guangdong Province(2017A030307022,2016A0300310019,2016A030307042)the Education Research Platform Project of Guangdong Province(2014KQNCX208)the Education Reform Project of Guangdong Province(2015558)
文摘In this article, we study the electromagnetic fluid system in three-dimensional whole space R^3. Under assumption of small initial data, we establish the unique global solution by energy method. Moreover, we obtain the time decay rates of the higher-order spatial derivatives of the solution by combining the L^p-L^q estimates for the linearized equations and an elaborate energy method when the L^1-norm of the perturbation is bounded.
