发布求助
文献互助 智能选刊 最新文献

Partial Differential Equations Arising from Physics and Geometry最新文献

筛选
英文 中文
On the Role of Anisotropy in the Weak Stability of the Navier–Stokes System 各向异性在Navier-Stokes系统弱稳定性中的作用
Partial Differential Equations Arising from Physics and Geometry Pub Date : 2019-05-02 DOI: 10.1017/9781108367639.002
H. Bahouri, J. Chemin, I. Gallagher
{"title":"On the Role of Anisotropy in the Weak Stability of the Navier–Stokes System","authors":"H. Bahouri, J. Chemin, I. Gallagher","doi":"10.1017/9781108367639.002","DOIUrl":"https://doi.org/10.1017/9781108367639.002","url":null,"abstract":"","PeriodicalId":286685,"journal":{"name":"Partial Differential Equations Arising from Physics and Geometry","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129341045","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
Towards Better Mathematical Models for Physics 迈向更好的物理数学模型
Partial Differential Equations Arising from Physics and Geometry Pub Date : 2019-05-02 DOI: 10.1017/9781108367639.010
L. Tartar
{"title":"Towards Better Mathematical Models for Physics","authors":"L. Tartar","doi":"10.1017/9781108367639.010","DOIUrl":"https://doi.org/10.1017/9781108367639.010","url":null,"abstract":"","PeriodicalId":286685,"journal":{"name":"Partial Differential Equations Arising from Physics and Geometry","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115396107","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
Critical Points at Infinity Methods in CR Geometry CR几何中的无穷远临界点方法
Partial Differential Equations Arising from Physics and Geometry Pub Date : 2019-05-02 DOI: 10.1017/9781108367639.007
Najoua Gamara
{"title":"Critical Points at Infinity Methods in CR Geometry","authors":"Najoua Gamara","doi":"10.1017/9781108367639.007","DOIUrl":"https://doi.org/10.1017/9781108367639.007","url":null,"abstract":"","PeriodicalId":286685,"journal":{"name":"Partial Differential Equations Arising from Physics and Geometry","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121090567","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
A Data Assimilation Algorithm: the Paradigm of the 3D Leray-α Model of Turbulence 一种数据同化算法:湍流三维Leray-α模型的范式
Partial Differential Equations Arising from Physics and Geometry Pub Date : 2019-05-02 DOI: 10.1017/9781108367639.006
A. Farhat, E. Lunasin, E. Titi
{"title":"A Data Assimilation Algorithm: the Paradigm of the 3D Leray-α Model of Turbulence","authors":"A. Farhat, E. Lunasin, E. Titi","doi":"10.1017/9781108367639.006","DOIUrl":"https://doi.org/10.1017/9781108367639.006","url":null,"abstract":". In this paper we survey the various implementations of a new data assimilation (downscaling) algorithm based on spatial coarse mesh measurements. As a paradigm, we demonstrate the application of this algorithm to the 3D Leray- α subgrid scale turbulence model. Most importantly, we use this paradigm to show that it is not always necessary that one has to collect coarse mesh measurements of all the state variables, that are involved in the underlying evolutionary system, in order to recover the corresponding exact reference solution. Specifically, we show that in the case of the 3D Leray- α model of turbulence the solutions of the algorithm, constructed using only coarse mesh observations of any two components of the three-dimensional velocity field , and without any information of the third component, converge, at an exponential rate in time, to the corresponding exact reference solution of the 3D Leray- α model. This study serves as an addendum to our recent work on abridged continuous data assimilation for the 2D Navier-Stokes equations. Notably, similar results have also been recently established for the 3D viscous Planetary Geostrophic circulation model in which we show that coarse mesh measurements of the temperature alone are sufficient for recovering, through our data assimilation algorithm, the full solution; viz. the three components of velocity vector field and the temperature. Consequently, this proves the Charney conjecture for the 3D Planetary Geostrophic model; namely, that the history of the large spatial scales of temperature is sufficient for determining all the other quantities (state variables) of the model.","PeriodicalId":286685,"journal":{"name":"Partial Differential Equations Arising from Physics and Geometry","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121890537","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: 22
Asymptotic Analysis for the Lane–Emden Problem in Dimension Two 二维Lane-Emden问题的渐近分析
Partial Differential Equations Arising from Physics and Geometry Pub Date : 2016-02-22 DOI: 10.1017/9781108367639.005
F. Marchis, I. Ianni, F. Pacella
{"title":"Asymptotic Analysis for the Lane–Emden Problem in Dimension Two","authors":"F. Marchis, I. Ianni, F. Pacella","doi":"10.1017/9781108367639.005","DOIUrl":"https://doi.org/10.1017/9781108367639.005","url":null,"abstract":"We consider the Lane-Emden Dirichlet problem begin{equation}tag{1} left{begin{array}{lr}-Delta u= |u|^{p-1}uqquad mbox{ in }Omega u=0qquadqquadqquadmbox{ on }partial Omega end{array}right. end{equation} when $p>1$ and $Omegasubsetmathbb R^2$ is a smooth bounded domain. The aim of the paper is to survey some recent results on the asymptotic behavior of solutions of (1) as the exponent $prightarrow infty $.","PeriodicalId":286685,"journal":{"name":"Partial Differential Equations Arising from Physics and Geometry","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127655989","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: 10
Finite-time Blowup for some Nonlinear Complex Ginzburg–Landau Equations 一类非线性复金兹堡-朗道方程的有限时间爆破
Partial Differential Equations Arising from Physics and Geometry Pub Date : 2016-02-16 DOI: 10.1017/9781108367639.004
T. Cazenave, S. Snoussi
{"title":"Finite-time Blowup for some Nonlinear Complex Ginzburg–Landau Equations","authors":"T. Cazenave, S. Snoussi","doi":"10.1017/9781108367639.004","DOIUrl":"https://doi.org/10.1017/9781108367639.004","url":null,"abstract":"In this article, we review finite-time blowup criteria for the family of complex Ginzburg-Landau equations $u_t = e^{ itheta } [Delta u + |u|^alpha u] + gamma u$ on ${mathbb R}^N $, where $0 le theta le frac {pi } {2}$, $alpha >0$ and $gamma in {mathbb R} $. We study in particular the effect of the parameters $theta $ and $gamma $, and the dependence of the blowup time on these parameters.","PeriodicalId":286685,"journal":{"name":"Partial Differential Equations Arising from Physics and Geometry","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123471415","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: 1
Blow-up Rate for a Semilinear Wave Equation with Exponential Nonlinearity in One Space Dimension 一维指数非线性半线性波动方程的爆破率
Partial Differential Equations Arising from Physics and Geometry Pub Date : 2016-01-15 DOI: 10.1017/9781108367639.001
Asma Azaiez, N. Masmoudi, H. Zaag
{"title":"Blow-up Rate for a Semilinear Wave Equation with Exponential Nonlinearity in One Space Dimension","authors":"Asma Azaiez, N. Masmoudi, H. Zaag","doi":"10.1017/9781108367639.001","DOIUrl":"https://doi.org/10.1017/9781108367639.001","url":null,"abstract":"We consider in this paper blow-up solutions of the semilinear wave equation in one space dimension, with an exponential source term. Assuming that initial data are in $H^{1}_{loc}times L^2_{loc}$ or some times in $ W^{1,infty}times L^{infty}$, we derive the blow-up rate near a non-characteristic point in the smaller space, and give some bounds near other points. Our result generalize those proved by Godin under high regularity assumptions on initial data.","PeriodicalId":286685,"journal":{"name":"Partial Differential Equations Arising from Physics and Geometry","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124908837","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: 8
Some Simple Problems for the Next Generations 留给下一代的一些简单问题
Partial Differential Equations Arising from Physics and Geometry Pub Date : 2015-12-21 DOI: 10.1017/9781108367639.008
A. Haraux
{"title":"Some Simple Problems for the Next Generations","authors":"A. Haraux","doi":"10.1017/9781108367639.008","DOIUrl":"https://doi.org/10.1017/9781108367639.008","url":null,"abstract":"A list of open problems on global behavior in time of some evolution systems, mainly governed by P.D.E, is given together with some background information explaining the context in which these problems appeared. The common characteristic of these problems is that they appeared a long time ago in the personnal research of the author and received almost no answer till then at the exception of very partial results which are listed to help the readers' understanding of the difficulties involved.","PeriodicalId":286685,"journal":{"name":"Partial Differential Equations Arising from Physics and Geometry","volume":"28 2 Suppl 7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131871064","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
Clustering Phenomena for Linear Perturbation of the Yamabe Equation Yamabe方程线性扰动的聚类现象
Partial Differential Equations Arising from Physics and Geometry Pub Date : 2015-11-22 DOI: 10.1017/9781108367639.009
A. Pistoia, Giusi Vaira
{"title":"Clustering Phenomena for Linear Perturbation of the Yamabe Equation","authors":"A. Pistoia, Giusi Vaira","doi":"10.1017/9781108367639.009","DOIUrl":"https://doi.org/10.1017/9781108367639.009","url":null,"abstract":"Let $(M,g)$ be a non-locally conformally flat compact Riemannian manifold with dimension $Nge7.$ We are interested in finding positive solutions to the linear perturbation of the Yamabe problem $$-mathcal L_g u+epsilon u=u^{N+2over N-2} hbox{in} (M,g) $$ where the first eigenvalue of the conformal laplacian $-mathcal L_g $ is positive and $epsilon$ is a small positive parameter. We prove that for any point $xi_0in M$ which is non-degenerate and non-vanishing minimum point of the Weyl's tensor and for any integer $k$ there exists a family of solutions developing $k$ peaks collapsing at $xi_0$ as $epsilon$ goes to zero. In particular, $xi_0$ is a non-isolated blow-up point.","PeriodicalId":286685,"journal":{"name":"Partial Differential Equations Arising from Physics and Geometry","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130818131","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: 21
The Motion Law of Fronts for Scalar Reaction-diffusion Equations with Multiple Wells: the Degenerate Case 多井标量反应扩散方程锋面运动规律:简并情形
Partial Differential Equations Arising from Physics and Geometry Pub Date : 2013-12-17 DOI: 10.1017/9781108367639.003
F. Béthuel, D. Smets
{"title":"The Motion Law of Fronts for Scalar Reaction-diffusion Equations with Multiple Wells: the Degenerate Case","authors":"F. Béthuel, D. Smets","doi":"10.1017/9781108367639.003","DOIUrl":"https://doi.org/10.1017/9781108367639.003","url":null,"abstract":"We derive a precise motion law for fronts of solutions to scalar one-dimensional reaction-diffusion equations with equal depth multiple-wells, in the case the second derivative of the potential vanishes at its minimizers. We show that, renormalizing time in an algebraic way, the motion of fronts is governed by a simple system of ordinary differential equations of nearest neighbor interaction type. These interactions may be either attractive or repulsive. Our results are not constrained by the possible occurrence of collisions nor splittings. They present substantial differences with the results obtained in the case the second derivative does not vanish at the wells, a case which has been extensively studied in the literature, and where fronts have been showed to move at exponentially small speed, with motion laws which are not renormalizable.","PeriodicalId":286685,"journal":{"name":"Partial Differential Equations Arising from Physics and Geometry","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124343054","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: 1
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信