Non-degeneracy, Mean Field Equations and the Onsager Theory of 2D Turbulence
文献类型：期刊论文
| 作者 | Bartolucci, Daniele2; Jevnikar, Aleks2; Lee, Youngae1; Yang, Wen3 |
| 刊名 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
 |
| 出版日期 | 2018-10-01 |
| 卷号 | 230期号:1页码:397-426 |
| ISSN号 | 0003-9527 |
| DOI | 10.1007/s00205-018-1248-y |
| 文献子类 | Article |
| 英文摘要 | The understanding of some large energy, negative specific heat states in the Onsager description of 2D turbulence seem to require the analysis of a subtle open problem about bubbling solutions of the mean field equation. Motivated by this application we prove that, under suitable non-degeneracy assumptions on the associated m-vortex Hamiltonian, the m-point bubbling solutions of the mean field equation are non-degenerate as well. Then we deduce that the Onsager mean field equilibrium entropy is smooth and strictly convex in the high energy regime on domains of second kind. |
| WOS关键词 | LIOUVILLE-TYPE EQUATIONS ; STATISTICAL-MECHANICS DESCRIPTION ; 2-DIMENSIONAL EULER EQUATIONS ; ELLIPTIC EQUATION ; STATIONARY FLOWS ; RIEMANN SURFACES ; SINGULAR LIMITS ; UP SOLUTIONS ; BLOW ; DIMENSIONS |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000440977800010 |
| 出版者 | SPRINGER |
| 资助机构 | FIRB ; FIRB ; PRIN(2012, ERC PE1_11) ; PRIN(2012, ERC PE1_11) ; Consolidate the Foundations project 2015(ERC PE1_11) ; Consolidate the Foundations project 2015(ERC PE1_11) ; Univ. of Rome "Tor Vergata" ; Univ. of Rome "Tor Vergata" ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; FIRB ; FIRB ; PRIN(2012, ERC PE1_11) ; PRIN(2012, ERC PE1_11) ; Consolidate the Foundations project 2015(ERC PE1_11) ; Consolidate the Foundations project 2015(ERC PE1_11) ; Univ. of Rome "Tor Vergata" ; Univ. of Rome "Tor Vergata" ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; FIRB ; FIRB ; PRIN(2012, ERC PE1_11) ; PRIN(2012, ERC PE1_11) ; Consolidate the Foundations project 2015(ERC PE1_11) ; Consolidate the Foundations project 2015(ERC PE1_11) ; Univ. of Rome "Tor Vergata" ; Univ. of Rome "Tor Vergata" ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; FIRB ; FIRB ; PRIN(2012, ERC PE1_11) ; PRIN(2012, ERC PE1_11) ; Consolidate the Foundations project 2015(ERC PE1_11) ; Consolidate the Foundations project 2015(ERC PE1_11) ; Univ. of Rome "Tor Vergata" ; Univ. of Rome "Tor Vergata" ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/13026]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 通讯作者 | Bartolucci, Daniele |
| 作者单位 | 1.Kyungpook Natl Univ, Dept Math Educ, Teachers Coll, Daegu, South Korea 2.Univ Roma Tor Vergata, Dept Math, Via Ric Sci 1, I-00133 Rome, Italy 3.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bartolucci, Daniele,Jevnikar, Aleks,Lee, Youngae,et al. Non-degeneracy, Mean Field Equations and the Onsager Theory of 2D Turbulence[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2018,230(1):397-426. |
| APA | Bartolucci, Daniele,Jevnikar, Aleks,Lee, Youngae,&Yang, Wen.(2018).Non-degeneracy, Mean Field Equations and the Onsager Theory of 2D Turbulence.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,230(1),397-426. |
| MLA | Bartolucci, Daniele,et al."Non-degeneracy, Mean Field Equations and the Onsager Theory of 2D Turbulence".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 230.1(2018):397-426. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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