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Glimm’s method and density of wild data for the Euler system of gas dynamics
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SYSNO ASEP 0582709 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Glimm’s method and density of wild data for the Euler system of gas dynamics Author(s) Chiodaroli, E. (IT)
Feireisl, Eduard (MU-W) RID, SAI, ORCIDArticle number 035005 Source Title Nonlinearity. - : Institute of Physics Publishing - ISSN 0951-7715
Roč. 37, č. 3 (2024)Number of pages 12 s. Publication form Print - P Language eng - English Country US - United States Keywords convex integration ; Euler system of gas dynamics ; Riemann problem ; wild data Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA21-02411S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 001149619800001 EID SCOPUS 85183522157 DOI 10.1088/1361-6544/ad1cbd Annotation We adapt Glimm’s approximation method to the framework of convex integration to show density of wild data for the (complete) Euler system of gas dynamics. The desired infinite family of entropy admissible solutions emanating from the same initial data is obtained via convex integration of suitable Riemann problems pasted with local smooth solutions. In addition, the wild data belong to BV class. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2025 Electronic address https://doi.org/10.1088/1361-6544/ad1cbd
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