For hyperbolic partial differential equations with relation, formally it is trivial to derive the equilibrium systems as the relaxation time goes to zero. However, for equations defined in a domain with boundaries and therefore with boundary conditions, a natural problem is how to derive the corresponding reduced boundary conditions. This seems far from trivial. In this talk I will present a procedure to derive the reduced boundary conditions. Moreover, I will show how to construct boundary conditions for relaxation systems approximating to initial-boundary values problems of hyperbolic PDEs.

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个人简历

雍稳安教授1992年博士毕业于德国海德堡大学数学系，2005年起回国，任清华大学周培源应用数学研究中心研究员。他的主要研究兴趣在于应用偏微分方程（特别是非线性双曲偏微分方程组）的理论分析和数值方法， 应用领域包括辐射流体力学、神经科学、多相流体力学、格子Boltzmann方法等。