應(yīng)yl7703永利官網(wǎng)李萬(wàn)同院長(zhǎng)和耿俊教授邀請(qǐng),中國(guó)科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院黃飛敏研究員將來(lái)我校交流,并于2023年3月17日下午做學(xué)術(shù)報(bào)告,歡迎全校師生參加.
報(bào)告題目:GLOBAL EXISTENCE OF SPHERICALLY SYMMETRIC SOLUTIONS OF EULER-POISSON EQUATIONS FOR WHITE DWARF
時(shí)間:2023年3月17日(星期五) 14:30
地 點(diǎn):理工樓631教室
報(bào)告摘要:In this paper, the three dimensional Euler-Poisson equations with gravitational potential for general pressure law is considered. It is shown that there exists a global finite-energy solution with spherical symmetry for Cauchy problem by the vanishing viscosity limit of compressible Navier-Stokes-Poisson equations with the help of the theory of compensated compactness. Moreover, the constitutive equation of white dwarf stars is included. The key point is to show the higher integrability for the velocity by constructing a special entropy via solving a kind of Goursat problem for the entropy equation. The $L^p$ compensated compactness framework for general pressure is also established.
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報(bào)告人簡(jiǎn)介:
黃飛敏,中國(guó)科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院華羅庚首席研究員,國(guó)家杰出青年基金獲得者,北京市數(shù)學(xué)會(huì)理事。研究領(lǐng)域?yàn)榉蔷€性偏微分方程,在非線性雙曲守恒律、可壓縮Navier-Stokes方程、Boltzmann方程等重要領(lǐng)域取得一系列突出成果。2004年獲美國(guó)工業(yè)及應(yīng)用數(shù)學(xué)學(xué)會(huì)杰出論文獎(jiǎng)(The SIAM Outstanding Paper Prize);2011年獲中國(guó)科學(xué)院青年科學(xué)家獎(jiǎng);2013年獲國(guó)家自然科學(xué)二等獎(jiǎng);2015年入選中青年科技創(chuàng)新領(lǐng)軍人才計(jì)劃。
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2023年3月13日