Multi-Dimensional Gas Flows, Some Historical Perspectives
by Tai-Ping Liu  

Vol. 6 No. 3 (2011) P.269~P.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.

KEYWORDS
Shock waves, potential flows, self-similar and stationary flows

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35L67, 74J40, 76G25

MILESTONES

Received: 2011-09-01
Revised : 2011-09-09
Accepted: 2011-09-09

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