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Hypersonic similarity for steady compressible full Euler flows over two-dimensional Lipschitz wedges

Abstract:

We establish the optimal convergence rate to the hypersonic similarity law, which is also called the Mach number independence principle, for steady compressible full Euler flows over two-dimensional slender Lipschitz wedges. Mathematically, it can be formulated as the comparison of the entropy solutions in BV∩L1 between the two initial-boundary value problems for the compressible full Euler equations with parameter τ>0 and the hypersonic small-disturbance equations (the scaled compressible...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.aim.2024.109782

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Keble College
Role:
Author
ORCID:
0000-0001-5146-3839
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Funder identifier:
https://ror.org/0439y7842
Grant:
EP/V008854/1
EP/V051121/1
EP/L015811/1
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Funder identifier:
https://ror.org/01h0zpd94
Publisher:
Elsevier
Journal:
Advances in Mathematics More from this journal
Volume:
451
Article number:
109782
Publication date:
2024-06-27
Acceptance date:
2024-05-28
DOI:
EISSN:
1090-2082
ISSN:
0001-8708

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