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Two-Dimensional Steady Supersonic Exothermically Reacting Euler Flow past Lipschitz Bending Walls

Abstract:

We are concerned with the two-dimensional steady supersonic reacting Euler flow past Lipschitz bending walls that are small perturbations of a convex one, and establish the existence of global entropy solutions when the total variation of both the initial data and the slope of the boundary is sufficiently small. The flow is governed by an ideal polytropic gas and undergoes a one-step exothermic chemical reaction under the reaction rate function that is Lipschtiz and has a positive lower bound...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1137/16M1075089

Authors


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Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
Royal Society–Wolfson Research Merit Award More from this funder
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Grant:
11421061, 11031001, 11121101, 111 Project B08018
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Mathematical Analysis Journal website
Volume:
49
Issue:
2
Pages:
818–873
Publication date:
2017-03-16
Acceptance date:
2016-11-01
DOI:
ISSN:
0036-1410
Pubs id:
pubs:659124
URN:
uri:a2b59b53-46ae-450c-b271-81ec33a226b1
UUID:
uuid:a2b59b53-46ae-450c-b271-81ec33a226b1
Local pid:
pubs:659124
Paper number:
2

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