Transonic problems in multidimensional conservation laws

Start: 12/02/2011 - 3:00pm
End  : 12/02/2011 - 4:00pm

Applied Math Seminar

Eun Heui Kim, Cal State University Long Beach


 In many applications of engineering and physics, the model problems obey the conservation laws and sometime behave in a self-similar manner. A distinctive feature of multidimensional conservation laws in self-similar coordinates is that they change their type, meaning that they are hyperbolic (supersonic) far from the origin, and mixed (subsonic) near the origin. Hence the problem becomes transonic. In this talk, we first discuss the mathematical models and background of the transonic problems. We then discuss the recent development of mathematical analysis and numerical results of transonic problems.




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