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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.04836 |
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| _version_ | 1866917463979982848 |
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| author | Zhang, Xiaomin Yu, Huimin |
| author_facet | Zhang, Xiaomin Yu, Huimin |
| contents | In this paper, we study detonation wave solutions to one-dimensional piston problem for the Zeldovich-von Neumann-D{ö}ring (ZND) combustion model with a one-step exothermic chemical reaction. As a special type of shock wave, the position of the detonation wave is unknown, which make our model to be a free boundary problem.~The global existence of detonation wave solutions to this free boundary problem is proved. Compared with previous result~\cite{Lai}, we do not impose any dissipation conditions on the equations and the boundaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04836 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence of detonation wave solutions to the piston problem for the Zeldovich-von Neumann-D{ö}ring combustion model Zhang, Xiaomin Yu, Huimin Analysis of PDEs In this paper, we study detonation wave solutions to one-dimensional piston problem for the Zeldovich-von Neumann-D{ö}ring (ZND) combustion model with a one-step exothermic chemical reaction. As a special type of shock wave, the position of the detonation wave is unknown, which make our model to be a free boundary problem.~The global existence of detonation wave solutions to this free boundary problem is proved. Compared with previous result~\cite{Lai}, we do not impose any dissipation conditions on the equations and the boundaries. |
| title | Existence of detonation wave solutions to the piston problem for the Zeldovich-von Neumann-D{ö}ring combustion model |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2605.04836 |