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Annales de l'Institut Henri Poincaré C, Analyse non linéaire最新文献

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Compressible fluid limit for smooth solutions to the Landau equation 朗道方程平滑解的可压缩流体极限
Annales de l'Institut Henri Poincaré C, Analyse non linéaire Pub Date : 2024-07-26 DOI: 10.4171/aihpc/135
Renjun Duan, Dongcheng Yang, Hongjun Yu
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引用次数: 0
On a degenerate elliptic problem arising in the least action principle for Rayleigh–Taylor subsolutions 关于雷利-泰勒子解最小作用原理中出现的退化椭圆问题
Annales de l'Institut Henri Poincaré C, Analyse non linéaire Pub Date : 2024-06-13 DOI: 10.4171/aihpc/129
Bjorn Gebhard, Jonas Hirsch, J. Kolumbán
{"title":"On a degenerate elliptic problem arising in the least action principle for Rayleigh–Taylor subsolutions","authors":"Bjorn Gebhard, Jonas Hirsch, J. Kolumbán","doi":"10.4171/aihpc/129","DOIUrl":"https://doi.org/10.4171/aihpc/129","url":null,"abstract":"","PeriodicalId":514444,"journal":{"name":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","volume":"47 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141345054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Heteroclinic traveling waves of two-dimensional parabolic Allen–Cahn systems 二维抛物面 Allen-Cahn 系统的异次元行波
Annales de l'Institut Henri Poincaré C, Analyse non linéaire Pub Date : 2024-05-22 DOI: 10.4171/aihpc/127
Ramon Oliver-Bonafoux
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引用次数: 0
Lack of local controllability for a water-tank system when the time is not large enough 当时间不够长时，水箱系统缺乏局部可控性
Annales de l'Institut Henri Poincaré C, Analyse non linéaire Pub Date : 2024-05-02 DOI: 10.4171/aihpc/123
J. Coron, Armand Koenig, Hoai-Minh Nguyen
{"title":"Lack of local controllability for a water-tank system when the time is not large enough","authors":"J. Coron, Armand Koenig, Hoai-Minh Nguyen","doi":"10.4171/aihpc/123","DOIUrl":"https://doi.org/10.4171/aihpc/123","url":null,"abstract":"We consider the small-time local controllability property of a water tank modeled by 1 D Saint-Venant equations, where the control is the acceleration of the tank. It is known from the work of Dubois et al. that the linearized system is not controllable. Moreover, concerning the linearized system, they showed that a traveling time 𝑇 ∗ is necessary to bring the tank from one position to another for which the water is still at the beginning and at the end. Concerning the nonlinear system, Coron showed that local controllability around equilibrium states holds for a time large enough. In this paper, we show that for the local controllability of the nonlinear system around the equilibrium states, the necessary time is at least 2𝑇 ∗ even for the tank being still at the beginning and at the end. The key point of the proof is a coercivity property for the quadratic approximation of the water-tank system.","PeriodicalId":514444,"journal":{"name":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","volume":"24 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141022984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Traveling waves and finite gap potentials for the Calogero–Sutherland derivative nonlinear Schrödinger equation 卡洛吉罗-萨瑟兰导数非线性薛定谔方程的行进波和有限间隙势
Annales de l'Institut Henri Poincaré C, Analyse non linéaire Pub Date : 2024-04-22 DOI: 10.4171/aihpc/124
Rana Badreddine
{"title":"Traveling waves and finite gap potentials for the Calogero–Sutherland derivative nonlinear Schrödinger equation","authors":"Rana Badreddine","doi":"10.4171/aihpc/124","DOIUrl":"https://doi.org/10.4171/aihpc/124","url":null,"abstract":"","PeriodicalId":514444,"journal":{"name":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","volume":"18 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140672486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cluster of vortex helices in the incompressible three-dimensional Euler equations 不可压缩三维欧拉方程中的涡旋螺旋群
Annales de l'Institut Henri Poincaré C, Analyse non linéaire Pub Date : 2024-04-09 DOI: 10.4171/aihpc/119
Ignacio Guerra, Monica Musso
{"title":"Cluster of vortex helices in the incompressible three-dimensional Euler equations","authors":"Ignacio Guerra, Monica Musso","doi":"10.4171/aihpc/119","DOIUrl":"https://doi.org/10.4171/aihpc/119","url":null,"abstract":"","PeriodicalId":514444,"journal":{"name":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","volume":"15 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140720864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Norm inflation for solutions of semi-linear one-dimensional Klein–Gordon equations 半线性一维克莱因-戈登方程解的规范膨胀
Annales de l'Institut Henri Poincaré C, Analyse non linéaire Pub Date : 2024-04-03 DOI: 10.4171/aihpc/117
Jean-Marc Delort
{"title":"Norm inflation for solutions of semi-linear one-dimensional Klein–Gordon equations","authors":"Jean-Marc Delort","doi":"10.4171/aihpc/117","DOIUrl":"https://doi.org/10.4171/aihpc/117","url":null,"abstract":"","PeriodicalId":514444,"journal":{"name":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","volume":"52 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140748839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Corrigendum to “Logarithmic Sobolev and interpolation inequalities on the sphere: Constructive stability results” 对 "球面上的对数索波列夫和插值不等式 "的更正：构造稳定性结果"
Annales de l'Institut Henri Poincaré C, Analyse non linéaire Pub Date : 2024-04-02 DOI: 10.4171/aihpc/118
Giovanni Brigati, Jean Dolbeault, N. Simonov
{"title":"Corrigendum to “Logarithmic Sobolev and interpolation inequalities on the sphere: Constructive stability results”","authors":"Giovanni Brigati, Jean Dolbeault, N. Simonov","doi":"10.4171/aihpc/118","DOIUrl":"https://doi.org/10.4171/aihpc/118","url":null,"abstract":"","PeriodicalId":514444,"journal":{"name":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","volume":"39 28","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140752364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantitative convergence of the vectorial Allen–Cahn equation towards multiphase mean curvature flow 矢量艾伦-卡恩方程向多相平均曲率流的定量收敛
Annales de l'Institut Henri Poincaré C, Analyse non linéaire Pub Date : 2024-01-24 DOI: 10.4171/aihpc/109
Julian Fischer, Alice Marveggio
{"title":"Quantitative convergence of the vectorial Allen–Cahn equation towards multiphase mean curvature flow","authors":"Julian Fischer, Alice Marveggio","doi":"10.4171/aihpc/109","DOIUrl":"https://doi.org/10.4171/aihpc/109","url":null,"abstract":"","PeriodicalId":514444,"journal":{"name":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","volume":"73 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139601727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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