We investigate the initialization problem for the incompressible asymmetric fluids equations in two space dimensions. The problem is formulated as an optimal control problem. We prove that this problem has at least one and at most finite many solutions. Finally, we determine sufficient conditions to assure uniqueness of the solution.

中文翻译：

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不可压缩非对称流体方程的初始化问题

我们研究了二维空间中不可压缩非对称流体方程的初始化问题。该问题被表述为最优控制问题。我们证明这个问题至少有一个并且最多是有限的许多解。最后，我们确定足够的条件以确保解决方案的唯一性。