论文标题
数学建模兰德斯空间中的野火传播
Mathematical modeling the wildfire propagation in a Randers space
论文作者
论文摘要
野火对野生动植物的破坏性影响及其对人类生命和特性的影响是不可否认的。这表明了研究野火的传播，预测其行为并为其传播提供了更可靠的模型的重要性。在这里，通过将huygens的包膜原理的有效性用于兰德斯空间中的波前，我们为在风的存在下提供了一些模型，以在N维平滑的歧管中传播野火。在模型中，跟踪火颗粒的轨迹，并提供每次提供波前的方程。此外，我们确定了野火管理过程中非常重要的路径和点，称为战略道路和点。最后，为了插图，我们考虑了将野火传播到一些农业土地或林地中的两个例子。
The devastating effects of wildfires on the wildlife and their impact on human lives and properties are undeniable. This shows the importance of studying the spread of wildfire, predicting its behavior and presenting more reliable models for its propagation. Here, by using the validity of the Huygens` envelope principle for wavefronts in Randers spaces, we present some models for the propagation of wildfire in an n-dimensional smooth manifold under the presence of wind. In the models, trajectories of fire particles are tracked and the equations that give the wavefront at each time are provided. Furthermore, we determine the paths and points of great importance in the process of wildfire management, called strategic paths and points. Finally, we consider two examples of spreading the wildfire in some agricultural land or woodland, for the sake of illustration.
