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2023/08/10 李信儀教授專題演講

演講者:李信儀  教授

    國立嘉義大學應用數學系

日 期:2023年08月10日(星期四)11:00

地 點:國立高雄大學理學院408室

講 題:Global Classical Solutions for Non-isentropic Gas in the Nozzle Flows

摘   要:

     In this talk, we investigate the global existence of classical solutions for gas flows through a duct. This problem can be described as an initial-boundary value problem for the full compressible Euler equations with the geometric source in Lagrangian coordinates, which can be viewed as a hyperbolic system of balance laws when the Riemann invariants are applied. We prove the global existence theorem for classical solutions under appropriate conditions on entropies, ducts, and initial and boundary data. The analysis mainly depends on the local existence theorem and uniform a priori estimates, which can be obtained by introducing generalized Lax transformations. Furthermore, the long-time behavior of global classical solutions along all characteristic curves and vertical lines are also determined completely.


This is joint work with Shih-Wei Chou, John M. Hong, and Shih-Ming Wang.

 

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