论文标题
通过相对能量估计的机构气体传输的稳定性和渐近分析
Stability and asymptotic analysis for instationary gas transport via relative energy estimates
论文作者
论文摘要
我们考虑在长管道和管道网络中的气体传输，该动力学在管壁上以摩擦为主。管理方程式可以作为抽象的耗散性哈密顿系统配制，该系统使我们能够通过相对能量估计来得出扰动界限。作为特别的后果，我们在较高摩擦极限的初始条件和模型参数和定量估计方面获得了稳定性。我们的结果详细建立了单个管道中的流程，并通过基于能量的建模自然而然地将其推广到管道网络。
We consider the transport of gas in long pipes and pipeline networks for which the dynamics are dominated by friction at the pipe walls. The governing equations can be formulated as an abstract dissipative Hamiltonian system which allows us to derive perturbation bounds by means of relative energy estimates. As particular consequences, we obtain stability with respect to initial conditions and model parameters and quantitative estimates in the high friction limit. Our results are established in detail for the flow in a single pipe and through the energy-based modelling they naturally generalize also to pipe networks.
