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非線形解析セミナー

タイトル	Stability of non-constant equilibrium solutions for Euler-Maxwell systems
開催日時	2018年6月22日 16:45 ～
主催者
講演者	Professor Yue-Jun Peng (University of Clermont Auvergne)
場所	慶應義塾大学理工学部 14棟 733 (創想館 7階 ミーティング3)
内容	Euler-Maxwell systems are fluid models arising in plasma physics. In both isentropic and non-isentropic cases, such systems admit non-constant steady-state solutions with zero velocity. For the Cauchy problem or the periodic problem with initial data near the steady-states, we show global existence and the convergence of smooth solutions toward these states as the time goes to infinity. In the proof of the above result, we mainly use three techniques to yield energy estimates. These techniques are the choice of symmetrizer of the systems, the existence of anti-symmetric matrices and an induction argument on the order of space-time derivatives of solutions.
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