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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.03575 |
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| _version_ | 1866918275273719808 |
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| author | Milton, Robert |
| author_facet | Milton, Robert |
| contents | Existence, uniqueness and classification is established for plane waves supported by an irreversible reaction which is a smooth function of local reactant and product concentrations (or prey and predator populations). Rudimentary analytic techniques are used to guarantee a unique plane wave at every wavespeed $V>V_*$ above some threshold. The result readily extends to cutoff reactions, which are zero below some threshold product concentration. These results are not novel, but the method of proof is. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03575 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence, Uniqueness and Classification of Plane Waves Milton, Robert Analysis of PDEs Dynamical Systems 37N99 Existence, uniqueness and classification is established for plane waves supported by an irreversible reaction which is a smooth function of local reactant and product concentrations (or prey and predator populations). Rudimentary analytic techniques are used to guarantee a unique plane wave at every wavespeed $V>V_*$ above some threshold. The result readily extends to cutoff reactions, which are zero below some threshold product concentration. These results are not novel, but the method of proof is. |
| title | Existence, Uniqueness and Classification of Plane Waves |
| topic | Analysis of PDEs Dynamical Systems 37N99 |
| url | https://arxiv.org/abs/2601.03575 |