论文标题
关于不可压缩的2D Euler方程的变量类型分离的明确解
On the explicit solutions of separation of variables type for the incompressible 2D Euler equations
论文作者
论文摘要
我们研究拉格朗日框架中2维欧拉方程的明确解决方案。所有已知的解决方案均为变量类型的分离，其中分别处理时间和空间依赖性。第一个这样的解决方案已经在19世纪已知。我们表明，以前已知的所有解决方案都属于两个解决方案家族，并引入了三个新的解决方案。这些可能是变量类型分离的所有解决方案。
We study explicit solutions to the 2 dimensional Euler equations in the Lagrangian framework. All known solutions have been of the separation of variables type, where time and space dependence are treated separately. The first such solutions were known already in the 19th century. We show that all the solutions known previously belong to two families of solutions and introduce three new families of solutions. It seems likely that these are all the solutions that are of the separation of variables type.
