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CM2LA SEMINAR

기간 : 2024-03-15 ~ 2024-03-15
시간 : 09:00 ~ 18:00
개요
CM2LA SEMINAR
분야Field
날짜Date 2024-03-15 ~ 2024-03-15 시간Time 09:00 ~ 18:00
장소Place 초청자Host
연사Speaker Hongqiu Chen 소속Affiliation University of Memphis
TOPIC CM2LA SEMINAR
소개 및 안내사항Content
 
Title: The long wavelength limit of Periodic solutions of water wave models
 
Speaker : Hongqiu Chen (University of Memphis)
 
Abstract: It has been common practice for decades to approximate localized solutions of evolution equations set on unbounded spatial domains by solutions of associated periodic initial-value problems. We mention work of Zabusky and Kruskal in the early 1960’s. We don’t doubt that this practice goes back further, though not much further as computers of large enough scale to handle even one-space and one-time dimension problems were not available much earlier. Despite this method’s long history, rigorous theory with error estimates is sparse. It is our purpose to provide theory with error estimates here. This is done in the context of long-crested, surface water wave models. The two models we analyse are both unidirectional, long-wave models. While the theory is concretely attached to these models, one could formulate a more general theory if so desired. The first model is the RLW-BBM model and the second 5 BBM-KdV. The work is joint with J. Bona, Y. Hong, M. Panthee and M. Scialom
학회명Field CM2LA SEMINAR
날짜Date 2024-03-15 ~ 2024-03-15 시간Time 09:00 ~ 18:00
장소Place 초청자Host
소개 및 안내사항Content
 
Title: The long wavelength limit of Periodic solutions of water wave models
 
Speaker : Hongqiu Chen (University of Memphis)
 
Abstract: It has been common practice for decades to approximate localized solutions of evolution equations set on unbounded spatial domains by solutions of associated periodic initial-value problems. We mention work of Zabusky and Kruskal in the early 1960’s. We don’t doubt that this practice goes back further, though not much further as computers of large enough scale to handle even one-space and one-time dimension problems were not available much earlier. Despite this method’s long history, rigorous theory with error estimates is sparse. It is our purpose to provide theory with error estimates here. This is done in the context of long-crested, surface water wave models. The two models we analyse are both unidirectional, long-wave models. While the theory is concretely attached to these models, one could formulate a more general theory if so desired. The first model is the RLW-BBM model and the second 5 BBM-KdV. The work is joint with J. Bona, Y. Hong, M. Panthee and M. Scialom
성명Field CM2LA SEMINAR
날짜Date 2024-03-15 ~ 2024-03-15 시간Time 09:00 ~ 18:00
소속Affiliation University of Memphis 초청자Host
소개 및 안내사항Content
 
Title: The long wavelength limit of Periodic solutions of water wave models
 
Speaker : Hongqiu Chen (University of Memphis)
 
Abstract: It has been common practice for decades to approximate localized solutions of evolution equations set on unbounded spatial domains by solutions of associated periodic initial-value problems. We mention work of Zabusky and Kruskal in the early 1960’s. We don’t doubt that this practice goes back further, though not much further as computers of large enough scale to handle even one-space and one-time dimension problems were not available much earlier. Despite this method’s long history, rigorous theory with error estimates is sparse. It is our purpose to provide theory with error estimates here. This is done in the context of long-crested, surface water wave models. The two models we analyse are both unidirectional, long-wave models. While the theory is concretely attached to these models, one could formulate a more general theory if so desired. The first model is the RLW-BBM model and the second 5 BBM-KdV. The work is joint with J. Bona, Y. Hong, M. Panthee and M. Scialom
성명Field CM2LA SEMINAR
날짜Date 2024-03-15 ~ 2024-03-15 시간Time 09:00 ~ 18:00
호실Host 인원수Affiliation Hongqiu Chen
사용목적Affiliation 신청방식Host University of Memphis
소개 및 안내사항Content
 
Title: The long wavelength limit of Periodic solutions of water wave models
 
Speaker : Hongqiu Chen (University of Memphis)
 
Abstract: It has been common practice for decades to approximate localized solutions of evolution equations set on unbounded spatial domains by solutions of associated periodic initial-value problems. We mention work of Zabusky and Kruskal in the early 1960’s. We don’t doubt that this practice goes back further, though not much further as computers of large enough scale to handle even one-space and one-time dimension problems were not available much earlier. Despite this method’s long history, rigorous theory with error estimates is sparse. It is our purpose to provide theory with error estimates here. This is done in the context of long-crested, surface water wave models. The two models we analyse are both unidirectional, long-wave models. While the theory is concretely attached to these models, one could formulate a more general theory if so desired. The first model is the RLW-BBM model and the second 5 BBM-KdV. The work is joint with J. Bona, Y. Hong, M. Panthee and M. Scialom
Admin Admin · 2024-03-15 10:29 · 조회 265
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