On the equilibriation of chemical reaction-diffusion systems with degenerate reactions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915064619991040 |
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| author | Desvillettes, Laurent Phung, Kim Dang Tang, Bao Quoc |
| author_facet | Desvillettes, Laurent Phung, Kim Dang Tang, Bao Quoc |
| contents | The trend to equilibrium for reaction-diffusion systems modelling chemical reaction networks is investigated, in the case when reaction processes happen on subsets of the domain. We prove the convergence to equilibrium by directly showing functional inequalities in terms of entropy method. Our approach allows us to deal with nonlinearities of arbitrary orders, for which only global renormalised solutions are known to globally exist. For bounded solutions, we also prove the convergence to equilibrium when the diffusion as well as the reaction are degenerate, that is both diffusion and reaction processes only act on specific subsets of the domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12578 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the equilibriation of chemical reaction-diffusion systems with degenerate reactions Desvillettes, Laurent Phung, Kim Dang Tang, Bao Quoc Analysis of PDEs The trend to equilibrium for reaction-diffusion systems modelling chemical reaction networks is investigated, in the case when reaction processes happen on subsets of the domain. We prove the convergence to equilibrium by directly showing functional inequalities in terms of entropy method. Our approach allows us to deal with nonlinearities of arbitrary orders, for which only global renormalised solutions are known to globally exist. For bounded solutions, we also prove the convergence to equilibrium when the diffusion as well as the reaction are degenerate, that is both diffusion and reaction processes only act on specific subsets of the domain. |
| title | On the equilibriation of chemical reaction-diffusion systems with degenerate reactions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.12578 |