【活動簡介】：

112學年度第2學期學術專題講座
講題：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
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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