一个描述水-泥相互作用的数学模型的适定性
On the well-posedness of a mathematical model describing water-mud interaction
摘要：
在本文中，我们考虑一个数学模型描述的两相之间的相互作用的水和泥的渠道时，渠道的宽度是小的相比，其深度。泥浆被视为非牛顿流体，泥浆和流体之间的界面允许在重力和表面张力的影响下移动。对于小的边界和初始数据，我们将数学公式化为一个完全非局部的非线性问题，并利用抽象抛物理论证明了其局部适定性。
英文摘要：
In this paper we consider a mathematical model describing the two-phase interaction between water and mud in a water canal when the width of the canal is small compared to its depth. The mud is treated as a non-Netwonian fluid and the interface between the mud and fluid is allowed to move under the influence of gravity and surface tension. We reduce the mathematical formulation, for small boundary and initial data, to a fully nonlocal and nonlinear problem and prove its local well-posedness by using abstract parabolic theory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
