GLOBAL ENTROPY SOLUTIONS TO THE GAS FLOW IN GENERAL NOZZLE
报告人:黄飞敏教授,中国科学院数学与系统科学研究院 时间:2019年11月25日(周一)上午9:30-10:20
报告地点:行健楼学术活动室526
邀请人:尹会成教授
摘要:We are concerned with the global existence of entropy solutions for the compressible Euler equations describing the gas flow in a nozzle with general cross-sectional area, for both isen- tropic and isothermal fluids. New viscosities are delicately designed to obtain the uniform bound of approximate solutions. The vanishing viscosity method and compensated compactness framework are used to prove the convergence of approximate solutions. Moreover, the entropy solutions for both cases are uniformly bounded independent of time. No smallness condition is assumed on initial data. The techniques developed here can be applied to compressible Euler equations with general source terms.