國立臺南大學應用數學系

112學年度第2學期學術專題講座

• 講題：熱木星模型在外行星大氣中的整體超音速偏微分方程解
           Global Transonic Solutions of Hot-Jupiter Model for Exoplanet Atmosphere
• 講者：國立中正大學數學系，黃博峙教授 Bo-Chih Huang
• 時間：113.04.24(三)14:00-16:00
• 地點：本校府城校區格致樓C305
• 報名網址：https://campus.nutn.edu.tw/ActReg/ActInfo/20307/11304094351
• 摘要：In this talk, we make modifications to the original Hot-Jupiter model, which describes the problem of hydrodynamic escape of atmosphere for ctertain type of exoplanet called the hot jupiter. The model involves the Euler equation with gravity, tidal effect, and heat. We employ the generalized Glimm technique to prove the presence of transonic solutions to the problem. Under certain constraints on the transonic initial and boundary data, the limit of the approximation solutions represents an entropy transonic solution with bounded variations. Furthermore, we are able to determine the feasible hydrodynamical region directly from the equation itself, without the need for any additional state equation.

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