发布求助
文献互助 智能选刊 最新文献

Journal of Evolution Equations最新文献

筛选
英文 中文
A perturbative approach to Hölder continuity of solutions to a nonlocal p-parabolic equation 非局部对抛物方程解的荷尔德连续性的微扰方法
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-03-15 DOI: 10.1007/s00028-024-00949-8
Alireza Tavakoli
{"title":"A perturbative approach to Hölder continuity of solutions to a nonlocal p-parabolic equation","authors":"Alireza Tavakoli","doi":"10.1007/s00028-024-00949-8","DOIUrl":"https://doi.org/10.1007/s00028-024-00949-8","url":null,"abstract":"<p>We study local boundedness and Hölder continuity of a parabolic equation involving the fractional <i>p</i>-Laplacian of order <i>s</i>, with <span>(0&lt;s&lt;1)</span>, <span>(2le p &lt; infty )</span>, with a general right-hand side. We focus on obtaining precise Hölder continuity estimates. The proof is based on a perturbative argument using the already known Hölder continuity estimate for solutions to the equation with zero right-hand side.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"40 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140151272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the high friction limit for the complete Euler system 关于完整欧拉系统的高摩擦极限
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-03-15 DOI: 10.1007/s00028-024-00956-9
Eduard Feireisl, Piotr Gwiazda, Young-Sam Kwon, Agnieszka Świerczewska-Gwiazda
{"title":"On the high friction limit for the complete Euler system","authors":"Eduard Feireisl, Piotr Gwiazda, Young-Sam Kwon, Agnieszka Świerczewska-Gwiazda","doi":"10.1007/s00028-024-00956-9","DOIUrl":"https://doi.org/10.1007/s00028-024-00956-9","url":null,"abstract":"<p>We show that solutions of the complete Euler system of gas dynamics perturbed by a friction term converge to a solution of the porous medium equation in the high friction/long time limit. The result holds in the largest possible class of generalized solutions–the measure–valued solutions of the Euler system.\u0000</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"23 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140153537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generic alignment conjecture for systems of Cucker–Smale type 卡克-斯马尔型系统的通用排列猜想
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-03-15 DOI: 10.1007/s00028-024-00950-1
Roman Shvydkoy
{"title":"Generic alignment conjecture for systems of Cucker–Smale type","authors":"Roman Shvydkoy","doi":"10.1007/s00028-024-00950-1","DOIUrl":"https://doi.org/10.1007/s00028-024-00950-1","url":null,"abstract":"<p>The generic alignment conjecture states that for almost every initial data on the torus solutions to the Cucker–Smale system with a strictly local communication align to the common mean velocity. In this note, we present a partial resolution of this conjecture using a statistical mechanics approach. First, the conjecture holds in full for the sticky particle model representing, formally, infinitely strong local communication. In the classical case, the conjecture is proved when <i>N</i>, the number of agents, is equal to 2. It follows from a more general result, stating that for a system of any size for almost every data at least two agents align. The analysis is extended to the open space <span>(mathbb {R}^n)</span> in the presence of confinement and potential interaction forces. In particular, it is shown that almost every non-oscillatory pair of solutions aligns and aggregates in the potential well.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"69 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140153547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Stokes Dirichlet-to-Neumann operator 斯托克斯迪里赫勒到诺伊曼算子
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-03-15 DOI: 10.1007/s00028-023-00930-x
C. Denis, A. F. M. ter Elst
{"title":"The Stokes Dirichlet-to-Neumann operator","authors":"C. Denis, A. F. M. ter Elst","doi":"10.1007/s00028-023-00930-x","DOIUrl":"https://doi.org/10.1007/s00028-023-00930-x","url":null,"abstract":"<p>Let <span>(Omega subset mathbb {R}^d)</span> be a bounded open connected set with Lipschitz boundary. Let <span>(A^N)</span> and <span>(A^D)</span> be the Stokes Neumann operator and Stokes Dirichlet operator on <span>(Omega )</span>, respectively. We study the associated Stokes version of the Dirichlet-to-Neumann operator and show a Krein formula which relates these three Stokes version operators. We also prove a Stokes version of the Friedlander inequalities, which relates the Dirichlet eigenvalues and the Neumann eigenvalues.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"51 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140153548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Refined decay rates of $$C_0$$ -semigroups on Banach spaces 巴拿赫空间上 $$C_0$$ -semigroups 的细化衰减率
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-03-15 DOI: 10.1007/s00028-024-00957-8
Genilson Santana, Silas L. Carvalho
{"title":"Refined decay rates of $$C_0$$ -semigroups on Banach spaces","authors":"Genilson Santana, Silas L. Carvalho","doi":"10.1007/s00028-024-00957-8","DOIUrl":"https://doi.org/10.1007/s00028-024-00957-8","url":null,"abstract":"<p>We study rates of decay for <span>(C_0)</span>-semigroups on Banach spaces under the assumption that the norm of the resolvent of the semigroup generator grows with <span>(|s|^{beta }log (|s|)^b)</span>, <span>(beta , b ge 0)</span>, as <span>(|s|rightarrow infty )</span>, and with <span>(|s|^{-alpha }log (1/|s|)^a)</span>, <span>(alpha , a ge 0)</span>, as <span>(|s|rightarrow 0)</span>. Our results do not suppose that the semigroup is bounded. In particular, for <span>(a=b=0)</span>, our results improve the rates involving Fourier types obtained by Rozendaal and Veraar (J Funct Anal 275(10):2845–2894, 2018).</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"11 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140153455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of a unique global solution, and its decay at infinity, for the modified supercritical dissipative quasi-geostrophic equation 修正超临界耗散准地转方程唯一全局解的存在及其在无穷远处的衰减
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-03-15 DOI: 10.1007/s00028-024-00947-w
Wilberclay G. Melo
{"title":"Existence of a unique global solution, and its decay at infinity, for the modified supercritical dissipative quasi-geostrophic equation","authors":"Wilberclay G. Melo","doi":"10.1007/s00028-024-00947-w","DOIUrl":"https://doi.org/10.1007/s00028-024-00947-w","url":null,"abstract":"<p>Our interest in this research is to prove the decay, as time tends to infinity, of a unique global solution for the supercritical case of the modified quasi-gesotrophic equation (MQG) </p><span>$$begin{aligned} theta _t ;!+, (-Delta )^{alpha },theta ,+, u_{theta } cdot nabla theta ;=; 0, quad hbox {with } u_{theta };=;(partial _2(-Delta )^{frac{gamma -2}{2}}theta , -partial _1(-Delta )^{frac{gamma -2}{2}}theta ), end{aligned}$$</span><p>in the non-homogenous Sobolev space <span>(H^{1+gamma -2alpha }(mathbb {R}^2))</span>, where <span>(alpha in (0,frac{1}{2}))</span> and <span>(gamma in (1,2alpha +1))</span>. To this end, we need consider that the initial data for this equation are small. More precisely, we assume that <span>(Vert theta _0Vert _{H^{1+gamma -2alpha }})</span> is small enough in order to obtain a unique <span>(theta in C([0,infty );H^{1+gamma -2alpha }(mathbb {R}^2)))</span> that solves (MQG) and satisfies the following limit: </p><span>$$begin{aligned} lim _{trightarrow infty } Vert theta (t)Vert _{H^{1+gamma -2alpha }}=0. end{aligned}$$</span>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"23 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140153544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some aspects of the Floquet theory for the heat equation in a periodic domain 周期域中热方程的 Floquet 理论的某些方面
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-03-15 DOI: 10.1007/s00028-024-00951-0
Marcus Rosenberg, Jari Taskinen
{"title":"Some aspects of the Floquet theory for the heat equation in a periodic domain","authors":"Marcus Rosenberg, Jari Taskinen","doi":"10.1007/s00028-024-00951-0","DOIUrl":"https://doi.org/10.1007/s00028-024-00951-0","url":null,"abstract":"<p>We treat the linear heat equation in a periodic waveguide <span>(Pi subset {{mathbb {R}}}^d)</span>, with a regular enough boundary, by using the Floquet transform methods. Applying the Floquet transform <span>({{textsf{F}}})</span> to the equation yields a heat equation with mixed boundary conditions on the periodic cell <span>(varpi )</span> of <span>(Pi )</span>, and we analyse the connection between the solutions of the two problems. The considerations involve a description of the spectral projections onto subspaces <span>({{mathcal {H}}}_S subset L^2(Pi ))</span> corresponding certain spectral components. We also show that the translated Wannier functions form an orthonormal basis in <span>({{mathcal {H}}}_S)</span>.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"2012 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140150839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the separation property and the global attractor for the nonlocal Cahn-Hilliard equation in three dimensions 论三维非局部卡恩-希利亚德方程的分离特性和全局吸引子
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-03-15 DOI: 10.1007/s00028-024-00953-y
Andrea Giorgini
{"title":"On the separation property and the global attractor for the nonlocal Cahn-Hilliard equation in three dimensions","authors":"Andrea Giorgini","doi":"10.1007/s00028-024-00953-y","DOIUrl":"https://doi.org/10.1007/s00028-024-00953-y","url":null,"abstract":"<p>We consider the nonlocal Cahn-Hilliard equation with constant mobility and singular potential in three dimensional bounded and smooth domains. This model describes phase separation in binary fluid mixtures. Given any global solution (whose existence and uniqueness are already known), we prove the so-called <i>instantaneous</i> and <i>uniform</i> separation property: any global solution with initial finite energy is globally confined (in the <span>(L^infty )</span> metric) in the interval <span>([-1+delta ,1-delta ])</span> on the time interval <span>([tau ,infty ))</span> for any <span>(tau &gt;0)</span>, where <span>(delta )</span> only depends on the norms of the initial datum, <span>(tau )</span> and the parameters of the system. We then exploit such result to improve the regularity of the global attractor for the dynamical system associated to the problem.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"43 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140151059","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bi-objective and hierarchical control for the Burgers equation 布尔格斯方程的双目标和分层控制
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-03-15 DOI: 10.1007/s00028-024-00952-z
F. D. Araruna, E. Fernández-Cara, L. C. da Silva
{"title":"Bi-objective and hierarchical control for the Burgers equation","authors":"F. D. Araruna, E. Fernández-Cara, L. C. da Silva","doi":"10.1007/s00028-024-00952-z","DOIUrl":"https://doi.org/10.1007/s00028-024-00952-z","url":null,"abstract":"<p>We present some results concerning the control of the Burgers equation. We analyze a bi-objective optimal control problem and then the hierarchical null controllability through a Stackelberg–Nash strategy, with one leader and two followers. The results may be viewed as an extension to this nonlinear setting of a previous analysis performed for linear and semilinear heat equations. They can also be regarded as a first step in the solution of control problems of this kind for the Navier–Stokes equations.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"34 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140153458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions 具有动态边界条件的二维 NSE 的强解和吸引子维度
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-03-15 DOI: 10.1007/s00028-024-00948-9
{"title":"Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions","authors":"","doi":"10.1007/s00028-024-00948-9","DOIUrl":"https://doi.org/10.1007/s00028-024-00948-9","url":null,"abstract":"<h3>Abstract</h3> <p>We consider incompressible Navier–Stokes equations in a bounded 2D domain, complete with the so-called dynamic slip boundary conditions. Assuming that the data are regular, we show that weak solutions are strong. As an application, we provide an explicit upper bound of the fractal dimension of the global attractor in terms of the physical parameters. These estimates comply with analogous results in the case of Dirichlet boundary condition.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"219 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140156964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
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：604180095
Book学术官方微信
小红书