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2011 / September Volume 6 No.3
Multi-Dimensional Gas Flows, Some Historical Perspectives
Published Date
2011 / September
Title
Multi-Dimensional Gas Flows, Some Historical Perspectives
Author
Tai-Ping Liu
Keyword
Shock waves, potential flows, self-similar and stationary flows, Shock waves, potential flows, self-similar and stationary flows
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Pagination
269-291
Abstract
Multi-dimensional gas flow with shock waves can be highly complex and the mathematical theory for such flows is still far from being complete. This is so because such a theory should resolve some of the most difficult issues in the theory of partial differential equations; among them are the free boundaries and the nonlinear equations of mixed types. These difficulties were recognized early on. We illustrate the richness of the subject with certain historical perspectives on the basic question of shock reflections.
AMS Subject
Classification
35L67, 74J40, 76G25
Received
2011-09-09
Accepted
2011-09-09
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