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18.306 Rodolfo R. Rosales.
rrr@math.mit.edu |
MIT, Spring 2007. | |||||||||
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18.306 | ||||||||||
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Advanced Partial Differential Equations with Applications. | ||||||||||
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Course Related Information.
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Spring 2004 Web page:   Open Course Ware. | ||||||||||
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Some interesting pictures: Check this cool photo(!) of a sonic boom:   link to NASA.
Hyperbolic p.d.e.: the two pictures below correspond to
the "Sine-Gordon" equation  
utt - uxx + sin(u) = 0.
The figure on the left illustrates the spreading of a localized initial disturbance at characteristic speeds, while the figure on the right depicts the collision of a kink with a breather. | ||||||||||