KMS Of Academy of mathematics and systems sciences, CAS
| Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations | |
| Chen, Gui-Qiang G.1,2,3; Chen, Jun4; Feldman, Mikhail5 | |
| 2017 | |
| Source Publication | INTERFACES AND FREE BOUNDARIES
 |
| ISSN | 1463-9963 |
| Volume | 19Issue:4Pages:591-626 |
| Abstract | The existence, uniqueness, and asymptotic behavior of steady transonic flows past a curved wedge, involving transonic shocks, governed by the two-dimensional full Euler equations are established. The stability of both weak and strong transonic shocks under the perturbation of the upstream supersonic flow and the wedge boundary is proved. The problem is formulated as a one-phase free boundary problem, in which the transonic shock is treated as a free boundary. The full Euler equations are decomposed into two algebraic equations and a first-order elliptic system of two equations in Lagrangian coordinates. With careful elliptic estimates by using appropriate weighted Holder norms, the iteration map is defined and analyzed, and the existence of its fixed point is established by performing the Schauder fixed point argument. The careful analysis of the asymptotic behavior of the solutions reveals particular characters of the full Euler equations. |
| Keyword | Shock wave free boundary wedge problem steady supersonic subsonic transonic mixed type composite type hyperbolic-elliptic full Euler equations physical admissible existence stability asymptotic behavior decay rate |
| DOI | 10.4171/IFB/394 |
| Language | 英语 |
| Funding Project | UK Engineering and Physical Sciences Research Council Award[EP/L015811/1] ; Royal Society-Wolfson Research Merit Award (UK) ; Sustech Start-up Grant[Y01286205] ; National Science Foundation[DMS-1401490] ; Van Vleck Professorship Research - University of Wisconsin-Madison |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000422714700005 |
| Publisher | EUROPEAN MATHEMATICAL SOC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/29315 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Chen, Gui-Qiang G. |
| Affiliation | 1.Univ Oxford, Math Inst, Oxford OX2 6GG, England 2.Chinese Acad Sci, AMSS, Beijing 100190, Peoples R China 3.Chinese Acad Sci, UCAS, Beijing 100190, Peoples R China 4.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China 5.Univ Wisconsin, Dept Math, Madison, WI 53706 USA |
| Recommended Citation GB/T 7714 | Chen, Gui-Qiang G.,Chen, Jun,Feldman, Mikhail. Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations[J]. INTERFACES AND FREE BOUNDARIES,2017,19(4):591-626. |
| APA | Chen, Gui-Qiang G.,Chen, Jun,&Feldman, Mikhail.(2017).Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations.INTERFACES AND FREE BOUNDARIES,19(4),591-626. |
| MLA | Chen, Gui-Qiang G.,et al."Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations".INTERFACES AND FREE BOUNDARIES 19.4(2017):591-626. |
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