讨论三维空间中不带阻尼项和带阻尼项的不可压缩欧拉方程组的一类旋转解,研究解的整体存在性和爆破性质,改进并拓展了现有的相关结果。
The paper investigates a class of rotational solution to 3-dimentional incompressible Euler equations with and without damping term.The global existence and blowup of solutions are analyzed , respectively.These analytical results are the improvement and extension for existing results in literatures .