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Exact analysis of Burgers equation on semiline with flux condition at the origin |
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| Authors: | K T JosephP L Sachdev |
| Institution: | TIFR Centre, Indian Institute of Science, Bangalore, India Department of Mathematics, Indian Institute of Science, Bangalore, India |
| Abstract: | The initial boundary value problem for the Burgers equation in the domain x  0, t > 0 with flux boundary condition at x = 0 has been solved exactly. The behaviour of the solution as t tends to infinity is studied and the “asymptotic profile at infinity” is obtained. In addition, the uniqueness of the solution of the initial boundary value problem is proved and its inviscid limit as  → 0 is obtained. |
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