On the stability of contact discontinuity for the 1D compressible full Navier-Stokes-Allen-Cahn system with free boundary

On the stability of contact discontinuity for the 1D compressible full Navier-Stokes-Allen-Cahn system with free boundary | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL Mathematical Methods in the Applied Sciences This is a preprint and has not been peer reviewed. Data may be preliminary. 13 October 2025 V1 Latest version Share on On the stability of contact discontinuity for the 1D compressible full Navier-Stokes-Allen-Cahn system with free boundary Authors : Dan Lei 0009-0007-9016-5640 [email protected] and Fanfan Jiang Authors Info & Affiliations https://doi.org/10.22541/au.176035037.76436966/v1 Published Mathematical Methods in the Applied Sciences Version of record Peer review timeline 182 views 169 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper is concerned with the large-time behavior of solutions to the one-dimensional full compressible Navier-Stokes-Allen-Cahn system with a free boundary. The model can be used to describe the motion of a mixture of two viscous compressible fluids. We first construct a viscous contact wave which approximates to the contact discontinuity, which is a basic wave pattern of compressible Euler equation. Then we prove that the viscous contact wave is time-asymptotically stable, provided that the strength of contact wave and the initial perturbation are sufficiently small. The proof is given by the elementary L 2 -energy method. Supplementary Material File (lei-jiang-(2025).pdf) Download 343.73 KB Information & Authors Information Version history V1 Version 1 13 October 2025 Peer review timeline Published Mathematical Methods in the Applied Sciences Version of Record 3 Feb 2026 Published Copyright This work is licensed under a Non Exclusive No Reuse License. Collection Mathematical Methods in the Applied Sciences Keywords compressible navier-stokes-allen-cahn system contact discontinuity free boundary Authors Affiliations Dan Lei 0009-0007-9016-5640 [email protected] Anhui University View all articles by this author Fanfan Jiang Anhui University View all articles by this author Metrics & Citations Metrics Article Usage 182 views 169 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Dan Lei, Fanfan Jiang. On the stability of contact discontinuity for the 1D compressible full Navier-Stokes-Allen-Cahn system with free boundary. Authorea . 13 October 2025. DOI: https://doi.org/10.22541/au.176035037.76436966/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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