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Paper detail

Some Inverse Problems for the Burgers Equation and Related Systems

In this article we deal with one-dimensional inverse problems concerning the Burgers equation and some related nonlinear systems (involving heat effects and/or variable density). In these problems, the goal is to find the size of the spatial interval from some appropriate boundary observations of the solution. Depending on the properties of the initial and boundary data, we prove uniqueness and non-uniqueness results. In addition, we also solve some of these inverse problems numerically and compute approximations of the interval sizes.

preprint2021arXivOpen access
J. ApraizA. DoubovaE. Fernández-CaraM. Yamamoto
math.APmath.OC
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J. ApraizA. DoubovaE. Fernández-CaraM. Yamamoto

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