Obtain a solution of

u_t + u_x = t^a, where a = alpha, and a > 0.

given that u = u_0(x) on t = t0

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- May 18th 2010, 09:24 PMWaikatoProblems on characteristics
Obtain a solution of

u_t + u_x = t^a, where a = alpha, and a > 0.

given that u = u_0(x) on t = t0 - May 19th 2010, 06:28 AMJester
- May 19th 2010, 02:00 PMWaikatoInitial Condition - DE
Could you please help with imposing the IC?

Thanks - May 19th 2010, 02:13 PMJester
- May 19th 2010, 02:20 PMWaikatoIC's and help
Thanks for the IC's help.

Can you check this question out? You might be able to help.

Consider u_t + (v.grad)u = 0 , where grad = upside down triangle, and v is a vector, dotted with the grad symbol.

where v = (-ax, ay) represents 2D stagnation point flow and u = u(x,y,t). Obtain a solution of the Cauchy problem given that u = u0(x,y) at t = 0

(u0 is read as "u naught")