Nonlinear waves in astrophysical discs

该项目将研究天体物理盘中流体动力波的激发、传播和消散，如年轻恒星周围的原行星盘和黑洞周围的吸积盘。波通常是由一个大质量物体（如在盘中形成的行星）的引力作用激发的。虽然圆盘很薄，但本研究将解析圆盘的垂向结构及其波型。将使用半分析和计算方法，以及天体物理盘动力学的局部模型。非线性的影响，包括波的破碎和冲击的形成，对波的传播和耗散将被检查。在可能的情况下，将与最近关于年轻恒星周围的螺旋波和盘结构的观测结果进行比较。

This project will study the excitation, propagation and dissipation of hydrodynamic waves in astrophysical discs such as protoplanetary discs around young stars and accretion discs around black holes. Waves are typically excited by gravitational forcing by a massive body such as a planet that has formed in the disc. Although the discs are thin, this study will resolve the vertical structure of the discs and their wave modes. Both semi-analytical and computational methods will be used, as well as the local model of astrophysical disc dynamics. The effects of nonlinearity, including wave breaking and shock formation, on the propagation and dissipation of the waves will be examined. Where possible, comparisons will be made with recent observational findings regarding spiral waves and structures in discs around young stars.