Artículo
Some inverse problems for the Burgers equation and related systems
Autor/es | Apraiz, J.
Doubova Krasotchenko, Anna Fernández Cara, Enrique Yamamoto, M. |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2021-11-23 |
Fecha de depósito | 2022-07-01 |
Publicado en |
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Resumen | 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 ... 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. |
Cita | Apraiz, J., Doubova Krasotchenko, A., Fernández Cara, E. y Yamamoto, M. (2021). Some inverse problems for the Burgers equation and related systems. Communications in Nonlinear Science and Numerical Simulation, 107 (Abril), 106113-1-106113-23. |
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