Controllability Results for a Cross Diffusion System with a Free Boundary by a Flatness Approach
Author:
Funder
Agence Nationale de la Recherche
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s10440-023-00607-0.pdf
Reference18 articles.
1. Bakhta, A., Ehrlacher, V.: Cross-diffusion systems with non-zero flux and moving boundary conditions. ESAIM: M2AN 52(4), 1385–1415 (2018). https://doi.org/10.1051/m2an/2017053
2. Cauvin-Vila, J., Ehrlacher, V., Hayat, A.: Boundary stabilization of one-dimensional cross-diffusion systems in a moving domain: linearized system. J. Differ. Equ. 350, 251–307 (2023). https://doi.org/10.1016/j.jde.2022.12.021
3. Mattox, D.M.: Handbook of Physical Vapor Deposition (PVD) Processing, 2nd edn. William Andrew, Oxford (2010)
4. Burger, M., Di Francesco, M., Pietschmann, J.-F., Schlake, B.: Nonlinear cross-diffusion with size exclusion. SIAM J. Math. Anal. 42(6), 2842–2871 (2010). https://doi.org/10.1137/100783674
5. Jüngel, A.: The boundedness-by-entropy method for cross-diffusion systems. Nonlinearity 28(6), 1963–2001 (2015). https://doi.org/10.1088/0951-7715/28/6/1963
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1. Flatness Approach for the Boundary Controllability of a System of Heat Equations;SIAM Journal on Control and Optimization;2024-06-19
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