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タイトル Wave motions around a 2-D viscous Burgers’ shock profile
開催日時 2018年6月20日 16:45 ~
主催者
講演者 Professor Shih-Hsien Yu (National University of Singapore)
場所 慶應義塾大学理工学部 14棟 631A/B (創想館 6階 ミーティング1A/1B)
内容 In this talk we introduce the Laplace wave trains to form a basis for the 2-D wave scattering around the 2-D inviscid Burgers' shock wave for the viscous Burgers' profile for a 2-D Burgers' equation. With all those wave trains around the inviscid shock wave, one can construct the wave trains for the problem linearized around the viscous shock profile. After the complete structure of the wave scattering in terms of the Laplace wave train, one can invert the wave train information into a pointwise space-time structure of the Green's function for the problem linearized around the Burgers' shock profile. With the pointwise structure of the Green's function, the nonlinear wave scattering follows.
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