Exponential Decay for a Boundary-Controlled Nonlinear Parabolic Reactor Model
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908911617966080 |
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| author | Yevgenieva, Yevgeniia Zuyev, Alexander Prieur, Christophe Benner, Peter |
| author_facet | Yevgenieva, Yevgeniia Zuyev, Alexander Prieur, Christophe Benner, Peter |
| contents | We study an axial dispersion tubular reactor model governed by a nonlinear parabolic equation with Robin-type boundary conditions and boundary feedback control. We derive sufficient conditions for the exponential stability of the steady-state solution of the closed-loop system and provide an explicit estimate of the decay rate. In addition, numerical simulations are presented to illustrate the sharpness of the obtained decay rate for different choices of the feedback gain parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23151 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exponential Decay for a Boundary-Controlled Nonlinear Parabolic Reactor Model Yevgenieva, Yevgeniia Zuyev, Alexander Prieur, Christophe Benner, Peter Analysis of PDEs 35B35, 93D15, 93D23, 93D05 We study an axial dispersion tubular reactor model governed by a nonlinear parabolic equation with Robin-type boundary conditions and boundary feedback control. We derive sufficient conditions for the exponential stability of the steady-state solution of the closed-loop system and provide an explicit estimate of the decay rate. In addition, numerical simulations are presented to illustrate the sharpness of the obtained decay rate for different choices of the feedback gain parameter. |
| title | Exponential Decay for a Boundary-Controlled Nonlinear Parabolic Reactor Model |
| topic | Analysis of PDEs 35B35, 93D15, 93D23, 93D05 |
| url | https://arxiv.org/abs/2603.23151 |