Coastal erosion is a major and growing environmental problem describing the movement of sand caused by tides, waves or currents. Several phenomena contribute to the significant advance of the sea. These include climate change, with rising sea levels due to the melting of ice at the Earth's poles, the amplification of the tidal effect, leading to the transport of large masses of sand, storms, etc. We contribute to this problem by using topological shape optimization techniques applied to an PDE describing coastal erosion. We use Shallow water equations as a model.

翻译：海岸侵蚀是一个重大且日益严重的环境问题，描述了由潮汐、波浪或海流引起的泥沙运动。多种现象导致海平面显著推进，包括气候变化（地球极地冰盖融化导致海平面上升）、潮汐效应增强（引发大量泥沙输运）、风暴等。我们通过将拓扑形状优化技术应用于描述海岸侵蚀的偏微分方程来应对这一问题，采用浅水方程作为模型。