Generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids are considered in this work. In this work, we establish the existence of weak solutions to the considered model. Sufficient conditions ensuring more regular solutions and its uniqueness are also considered.

中文翻译：

---

非均质和不可压缩流体的 Kelvin-Voigt 模型的规律性和唯一性

在这项工作中考虑了控制非均匀和不可压缩流体的广义 Kelvin-Voigt 方程。在这项工作中，我们确定了所考虑模型的弱解的存在。还考虑了确保更规则解决方案及其独特性的充分条件。