Inverse source problem related to one-dimensional Saint-Venant equation

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Abstract

The one-dimensional Saint-Venant equation describes unsteady water flow in channels and is derived from the one-dimensional Euler equation by imposing several physical assumptions. In this paper, we consider the linearized and simplified equation in the one-dimensional case featuring a mixed derivative term and prove the global Lipschitz stability of the inverse source problem via the global Carleman estimate.

Original languageEnglish
Pages (from-to)35-47
Number of pages13
JournalApplicable Analysis
Volume101
Issue number1
DOIs
Publication statusPublished - 2022
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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