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 remark on selection of solutions for the transport equation 关于选择输运方程解的评论
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-08-22 DOI: 10.1007/s00028-024-00996-1
Jules Pitcho
{"title":"A remark on selection of solutions for the transport equation","authors":"Jules Pitcho","doi":"10.1007/s00028-024-00996-1","DOIUrl":"https://doi.org/10.1007/s00028-024-00996-1","url":null,"abstract":"<p>We prove that for bounded, divergence-free vector fields in <span>(L^1_textrm{loc}((0,+infty );BV_textrm{loc}(mathbb {R}^d;mathbb {R}^d)))</span>, regularisation by convolution of the vector field selects a single solution of the transport equation for any locally integrable initial datum. We recall the vector field constructed by Depauw in (C R Math Acad Sci Paris 337:249–252, 2003), which lies in the above class of vector fields. We show that the transport equation along this vector field has at least two bounded weak solutions for any bounded initial datum.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"8 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186956","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
Damped Euler system with attractive Riesz interaction forces 具有吸引力里兹相互作用力的阻尼欧拉系统
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-08-08 DOI: 10.1007/s00028-024-00998-z
Young-Pil Choi, Jinwook Jung, Yoonjung Lee
{"title":"Damped Euler system with attractive Riesz interaction forces","authors":"Young-Pil Choi, Jinwook Jung, Yoonjung Lee","doi":"10.1007/s00028-024-00998-z","DOIUrl":"https://doi.org/10.1007/s00028-024-00998-z","url":null,"abstract":"<p>We consider the barotropic Euler equations with pairwise attractive Riesz interactions and linear velocity damping in the periodic domain. We establish the global-in-time well-posedness theory for the system near an equilibrium state if the coefficient of the Riesz interaction term is small. We also analyze the large-time behavior of solutions showing the exponential rate of convergence toward the equilibrium state as time goes to infinity.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"192 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141930775","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
Global Cauchy problem for the Vlasov–Riesz–Fokker–Planck system near the global Maxwellian 全局麦克斯韦附近 Vlasov-Riesz-Fokker-Planck 系统的全局考奇问题
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-07-30 DOI: 10.1007/s00028-024-00995-2
Young-Pil Choi, In-Jee Jeong, Kyungkeun Kang
{"title":"Global Cauchy problem for the Vlasov–Riesz–Fokker–Planck system near the global Maxwellian","authors":"Young-Pil Choi, In-Jee Jeong, Kyungkeun Kang","doi":"10.1007/s00028-024-00995-2","DOIUrl":"https://doi.org/10.1007/s00028-024-00995-2","url":null,"abstract":"<p>We prove the global existence and uniqueness of solutions to the Vlasov–Riesz–Fokker–Planck system around the global Maxwellian in the periodic spatial domain. Depending on the order of Riesz potential, we present two frameworks for the construction of global-in-time solutions with Sobolev and analytic regularity. The analytic function framework covers the Vlasov–Dirac–Benney–Fokker–Planck system. Furthermore, we show the exponential decay of solutions toward the global Maxwellian. Our result is generalized to the whole space case in which the decay rate of convergence is algebraic.\u0000</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"124 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141863020","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
Spreading speeds and forced waves of a three species competition system with nonlocal dispersal in shifting habitats 变迁栖息地中具有非本地扩散性的三物种竞争系统的扩散速度和强迫波
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-07-28 DOI: 10.1007/s00028-024-00994-3
Jing Wang, Fei-Ying Yang, Wan-Tong Li
{"title":"Spreading speeds and forced waves of a three species competition system with nonlocal dispersal in shifting habitats","authors":"Jing Wang, Fei-Ying Yang, Wan-Tong Li","doi":"10.1007/s00028-024-00994-3","DOIUrl":"https://doi.org/10.1007/s00028-024-00994-3","url":null,"abstract":"<p>This paper is concerned with propagation phenomenon of a three species competition system with nonlocal dispersal in shifting habitats. We first give the existence of two types of forced wave connecting origin to only one species state and semi-co-existence state in supercritical and critical cases. Then, we get the existence of forced waves connecting origin to coexistence state at any speed. In particular, we establish the spreading property of the associated Cauchy problem depending on the range of the shifting speed which is identified respectively by (i) extinction of three species; (ii) only one species surviving; (iii) two species coexisting; (iv) persistence of three species.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"6 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141776840","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
Stability of random attractors for non-autonomous fractional stochastic p-Laplacian equations driven by nonlinear colored noise 非线性彩色噪声驱动的非自治分数随机 p-Laplacian 方程随机吸引子的稳定性
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-07-23 DOI: 10.1007/s00028-024-00993-4
Xuping Zhang, Ru Tian, Donal O’Regan
{"title":"Stability of random attractors for non-autonomous fractional stochastic p-Laplacian equations driven by nonlinear colored noise","authors":"Xuping Zhang, Ru Tian, Donal O’Regan","doi":"10.1007/s00028-024-00993-4","DOIUrl":"https://doi.org/10.1007/s00028-024-00993-4","url":null,"abstract":"<p>The aim of this paper is to establish the stability of pullback random attractors of non-autonomous fractional stochastic <i>p</i>-Laplacian equations driven by nonlinear colored noise. In order to overcome the difficulties caused by lack of compact Sobolev embedding on unbounded domains and weak dissipative structure of the equation, we first prove the existence, uniqueness and backward compactness of a special kind of pullback random attractor using the method of spectral decomposition in bounded domains and the uniform tail-estimates of solutions outside bounded domains over the infinite time interval. The measurability of this class of attractors is established by proving that the two classes of defined attractors are equal with respect to two different universes. Finally, the stability of the attractors is investigated by assuming that the time-dependent external forcing term converges to the time-independent external force as the time parameter tends to negative infinity.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"15 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141776805","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 modified scattering of two dimensional semi-relativistic Hartree equations 二维半相对论哈特里方程的修正散射
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-07-20 DOI: 10.1007/s00028-024-00982-7
Soonsik Kwon, Kiyeon Lee, Changhun Yang
{"title":"The modified scattering of two dimensional semi-relativistic Hartree equations","authors":"Soonsik Kwon, Kiyeon Lee, Changhun Yang","doi":"10.1007/s00028-024-00982-7","DOIUrl":"https://doi.org/10.1007/s00028-024-00982-7","url":null,"abstract":"<p>In this paper, we consider the asymptotic behaviors of small solutions to the semi-relativistic Hartree equations in two dimension. The nonlinear term is the cubic one convolved with the Coulomb potential <span>(|x|^{-1})</span>, and it produces the<i> long-range interaction</i> in the sense of scattering phenomenon. From this observation, one anticipates that small solutions converge to modified scattering states, although they decay as linear solutions. We show the global well-posedness and the modified scattering for small solutions in weighted Sobolev spaces. Our proof follows a road map of exploiting the space-time resonance by Germain et al. (Int Math Res Not 2009(3):414–432, 2008), and Pusateri (Commun Math Phys 332(3):1203–1234, 2014). Compared to the result in three dimensional case (Pusateri 2014), weaker time decay in two dimension is one of the main obstacles.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"82 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141739442","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 viscoelastic paradox in a nonlinear Kelvin–Voigt type model of dynamic fracture 非线性开尔文-沃伊特动态断裂模型中的粘弹性悖论
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-07-08 DOI: 10.1007/s00028-024-00989-0
Maicol Caponi, Alessandro Carbotti, Francesco Sapio
{"title":"The viscoelastic paradox in a nonlinear Kelvin–Voigt type model of dynamic fracture","authors":"Maicol Caponi, Alessandro Carbotti, Francesco Sapio","doi":"10.1007/s00028-024-00989-0","DOIUrl":"https://doi.org/10.1007/s00028-024-00989-0","url":null,"abstract":"<p>In this paper, we consider a dynamic model of fracture for viscoelastic materials, in which the constitutive relation, involving the Cauchy stress and the strain tensors, is given in an implicit nonlinear form. We prove the existence of a solution to the associated viscoelastic dynamic system on a prescribed time-dependent cracked domain via a discretization-in-time argument. Moreover, we show that such a solution satisfies an energy-dissipation balance in which the energy used to increase the crack does not appear. As a consequence, in analogy to the linear case this nonlinear model exhibits the so-called <i>viscoelastic paradox</i>.\u0000</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"14 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141568050","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
Stability via closure relations with applications to dissipative and port-Hamiltonian systems 通过闭合关系实现稳定性，并应用于耗散系统和端口-哈密尔顿系统
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-07-05 DOI: 10.1007/s00028-024-00992-5
Jochen Glück, Birgit Jacob, Annika Meyer, Christian Wyss, Hans Zwart
{"title":"Stability via closure relations with applications to dissipative and port-Hamiltonian systems","authors":"Jochen Glück, Birgit Jacob, Annika Meyer, Christian Wyss, Hans Zwart","doi":"10.1007/s00028-024-00992-5","DOIUrl":"https://doi.org/10.1007/s00028-024-00992-5","url":null,"abstract":"<p>We consider differential operators <i>A</i> that can be represented by means of a so-called closure relation in terms of a simpler operator <span>(A_{{text {ext}}})</span> defined on a larger space. We analyse how the spectral properties of <i>A</i> and <span>(A_{{text {ext}}})</span> are related and give sufficient conditions for exponential stability of the semigroup generated by <i>A</i> in terms of the semigroup generated by <span>(A_{{text {ext}}})</span>. As applications we study the long-term behaviour of a coupled wave–heat system on an interval, parabolic equations on bounded domains that are coupled by matrix-valued potentials, and of linear infinite-dimensional port-Hamiltonian systems with dissipation on an interval.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"27 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141547599","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
Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation 非均质非线性薛定谔方程的全局存在性和散射
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-07-05 DOI: 10.1007/s00028-024-00965-8
Lassaad Aloui, Slim Tayachi
{"title":"Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation","authors":"Lassaad Aloui, Slim Tayachi","doi":"10.1007/s00028-024-00965-8","DOIUrl":"https://doi.org/10.1007/s00028-024-00965-8","url":null,"abstract":"<p>In this paper, we consider the inhomogeneous nonlinear Schrödinger equation <span>(ipartial _t u +Delta u =K(x)|u|^alpha u,; u(0)=u_0in H^1({mathbb {R}}^N),; Nge 3,; |K(x)|+|x||nabla K(x)|lesssim |x|^{-b},; 0&lt;b&lt; min (2, N-2),; 0&lt;alpha &lt;{(4-2b)/(N-2)})</span>. We obtain novel results of global existence for oscillating initial data and scattering theory in a weighted <span>(L^2)</span>-space for a new range <span>(alpha _0(b)&lt;alpha &lt;(4-2b)/N)</span>. The value <span>(alpha _0(b))</span> is the positive root of <span>(Nalpha ^2+(N-2+2b)alpha -4+2b=0,)</span> which extends the Strauss exponent known for <span>(b=0)</span>. Our results improve the known ones for <span>(K(x)=mu |x|^{-b})</span>, <span>(mu in {mathbb {C}})</span>. For general potentials, we highlight the impact of the behavior at the origin and infinity on the allowed range of <span>(alpha )</span>. In the defocusing case, we prove decay estimates provided that the potential satisfies some rigidity-type condition which leads to a scattering result. We give also a new scattering criterion taking into account the potential <i>K</i>.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"23 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141547598","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
Local and global strong solutions to the 3D Navier–Stokes equations with damping 带阻尼的三维纳维-斯托克斯方程的局部和全局强解
IF 1.4 3区 数学
Journal of Evolution Equations Pub Date : 2024-07-05 DOI: 10.1007/s00028-024-00987-2
Kwang-Ok Li, Yong-Ho Kim, Yong-Nam Kim, Sung-Il O
{"title":"Local and global strong solutions to the 3D Navier–Stokes equations with damping","authors":"Kwang-Ok Li, Yong-Ho Kim, Yong-Nam Kim, Sung-Il O","doi":"10.1007/s00028-024-00987-2","DOIUrl":"https://doi.org/10.1007/s00028-024-00987-2","url":null,"abstract":"<p>This paper studies regularity properties of the weak solutions to the 3D Navier–Stokes equations with damping in the whole space and bounded domains. We find the space restriction on the initial velocity to guarantee the local existence of strong solutions. Based on it, we complete the existence results for the global strong solutions in the whole space and improve the restriction on the damping exponent for the existence of the global strong solutions in the bounded domains.</p>","PeriodicalId":51083,"journal":{"name":"Journal of Evolution Equations","volume":"29 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141547597","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：481959085
Book学术官方微信