Introduction to two methods for orbital stability of Hamiltonian PDEs

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Introduction to two methods for orbital stability of Hamiltonian PDEs

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구분 편미분방정식
일정 2025-07-08(화) 10:30~13:00
세미나실 27동 116호
강연자 석진명 (서울대학교)
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기타

 In this lecture, I will present two methods widely applied to show the orbital stability for special solutions of several Hailitonian PDEs.  One, due to Cazenave-Lions, is based on so-called concentration compactness priciple and the uniqueness of special soliutions. On the other hands, the other one, due to Weinstein and Grillakis-Shatah-Strauss, is based on the expansion of Hamiltonian and the nondegeneracy of special solutions. I aim to deliver these methods for NLS case and give an understanding that they are essentially the same. If the time permits, the Euler-Poisson case also can be death with.   

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