Differential Equations Lecture Work Solutions 264

Differential Equations Lecture Work Solutions 264 - and...

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6. Solve the quasilinear equation ∂u ∂t + u ∂u ∂x =0 subject to u ( x, 0) = 0 x< 0 x 0 x< 1 11 x 7. Solve the inviscid Burgers’ equation u t + uu x =0 u ( x, 0) = 2f o r x< 0 1f o r0 <x< 1 0f o r x> 1 Note that two shocks start at t
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Unformatted text preview: , and eventually intersect to create a third shock. Find the solution for all time (analytically), and graphically display your solution, labeling all appropriate bounding curves. 264...
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