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Notes: Burgers' equation Notes - UW Faculty Web Server
faculty.washington.eduRiemann problem for Burgers' equation u t + 1 2 u 2 x = 0 ; ut + uu x = 0 : f (u ) = 1 2 u 2; f 0(u ) = u: Consider Riemann problem with states u ` and u r. Forany u `; ur, there is a weak solution consisting of this discontinuity propagating at speed given by the