River meander dynamics inevitably interferes with a number of human activities and productive processes. Therefore, investigating the involved physical processes and modeling their space-time evolution represent a crucial requirement in terms of sustainable river management and restoration planning. In the present study, a deterministic integral-differential equation that governs river-bend growth and death in the absence of natural or anthropic forcing is for the first time derived and solved by resorting to cardinal fluid-mechanical equations such as Navier-Stokes’ in the Lamb-Oseen version. The related 1-D model, which accounts for morphology and sedimentology via the meander migration rate and its radius of curvature, proves to be able to grasp the periodic nature of the phenomenon. Additionally, it exhibits an overall very good agreement with field pre-cutoff and post-cutoff observations, as well as with the outcome of an ad hoc-designed laboratory experiment that simulated near-cutoff conditions. Hence, it may represent a fast and easy tool to monitor river bend hydro-geomorphological evolution, particularly when the signs of the incipient instability suggest quantifying the time left to its routine exploitation and to timely plan, where needed, suitable management and restoration interventions.

中文翻译：

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关于河流曲折截断序列特征时间的预测：理论模型及与实验室和现场观测的比较

河流蜿蜒动态不可避免地会干扰许多人类活动和生产过程。因此，调查所涉及的物理过程并对其时空演变进行建模是可持续河流管理和恢复规划的关键要求。在本研究中，在没有自然或人为强迫的情况下控制河流弯曲生长和死亡的确定性积分-微分方程首次通过求助于 Navier-Stokes 等基本流体力学方程导出和求解。 Lamb-Oseen 版本。相关的一维模型通过曲流迁移率及其曲率半径解释形态和沉积学，证明能够掌握现象的周期性。此外，它与现场截止前和截止后的观测结果以及模拟近截止条件的临时设计的实验室实验的结果总体上非常吻合。因此，它可能是监测河湾水文地貌演变的一种快速简便的工具，特别是当初期不稳定的迹象表明量化其日常开发的剩余时间并在需要时及时计划适当的管理和恢复干预措施时。