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An Inverse Problem for Determining the Piston Speed from a Given Lipschitz Leading Shock — arXiv:2609.06317

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.06317
License (as archived): CC0-1.0
Archived: 2026-10-16T14:48:18.196Z
SHA-256 of the archived text: 4511e540aae6b699c0f65020d8751e4fbcf297c646f4ce1fa923bbc3e35e9cc1
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How to cite

An Inverse Problem for Determining the Piston Speed from a Given Lipschitz Leading Shock — arXiv:2609.06317 — arXiv (en), https://arxiv.org/abs/2609.06317 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_024f38fa897f (Metraipolis archive dc_024f38fa897f, sha256 4511e540aae6b699c0f65020d8751e4fbcf297c646f4ce1fa923bbc3e35e9cc1)

BibTeX

@misc{dc024f38fa897f,
  title = {An Inverse Problem for Determining the Piston Speed from a Given Lipschitz Leading Shock — arXiv:2609.06317},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.06317},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_024f38fa897f; sha256 4511e540aae6b699c0f65020d8751e4fbcf297c646f4ce1fa923bbc3e35e9cc1},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.06317. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We analyze an inverse problem for determining the piston speed and the associated flow field from a prescribed leading shock and the initial data in a shock tube. The gas flow is described by the isentropic Euler equations (i.e., the $p$-system), while the trajectory of the leading shock is prescribed as a given Lipschitz curve. Under an Oleĭnik-type entropy condition on the leading shock, we develop a modified wavefront tracking scheme to construct the flow field behind the shock. This construction enables us to determine the corresponding piston speed and the associated flow field.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-09 in math.NA).
Categorie arXiv: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph); Numerical Analysis (math.NA); Pattern Formation and Solitons (nlin.PS).
Pagina del lavoro: https://arxiv.org/abs/2609.06317 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T14:30:08.753Z dalla pagina https://arxiv.org/catchup/math.NA/2026-09-09?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).