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LECTURE NOTES ON APPLIED MATHEMATICS
www.math.ucdavis.eduJun 17, 2009 · inviscid Burgers equation u t+ 1 2 u2 x = 0: This equation is a basic model equation for hyperbolic systems of conservation laws, such as the compressible Euler equations for the ow of an inviscid compressible uid [47]. Example 1.2. Suppose that the ux is a linear function of the density gradient, (1.3) ~q= Aru;