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The continuous Redner-Ben-Avraham-Kahng coagulation system: Well-posedness and asymptotic behaviour 连续redner - ben - avraham - kahn凝聚系统:适定性和渐近行为
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023010
P. Verma, Ankik Kumar Giri, F. D. da Costa
{"title":"The continuous Redner-Ben-Avraham-Kahng coagulation system: Well-posedness and asymptotic behaviour","authors":"P. Verma, Ankik Kumar Giri, F. D. da Costa","doi":"10.3934/eect.2023010","DOIUrl":"https://doi.org/10.3934/eect.2023010","url":null,"abstract":"This paper examines the existence of solutions to the continuous Redner-Ben-Avraham-Kahng coagulation system under specific growth conditions on unbounded coagulation kernels at infinity. Moreover, questions related to uniqueness and continuous dependence on the data are also addressed under additional restrictions. Finally, the large-time behaviour of solutions is also investigated","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73174405","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 3
Numerical solution to the linearized model of a clamped-free plate using nonconforming finite elements 非协调有限元法求解无夹紧板线性化模型
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023020
K. Szulc
{"title":"Numerical solution to the linearized model of a clamped-free plate using nonconforming finite elements","authors":"K. Szulc","doi":"10.3934/eect.2023020","DOIUrl":"https://doi.org/10.3934/eect.2023020","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73992027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations 一类新的小初始数据可能改变经典阻尼波方程的临界功率和寿命估计
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023003
K. Fujiwara, V. Georgiev
{"title":"A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations","authors":"K. Fujiwara, V. Georgiev","doi":"10.3934/eect.2023003","DOIUrl":"https://doi.org/10.3934/eect.2023003","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81275180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Motion planning problem for a class of hyperbolic PDEs 一类双曲偏微分方程的运动规划问题
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023011
Abdelhadi Elharfi, Mustapha El Hassani, Samir El Mourchid
{"title":"Motion planning problem for a class of hyperbolic PDEs","authors":"Abdelhadi Elharfi, Mustapha El Hassani, Samir El Mourchid","doi":"10.3934/eect.2023011","DOIUrl":"https://doi.org/10.3934/eect.2023011","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80866575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
An anisotropic tempered fractional $ p $-Laplacian model involving logarithmic nonlinearity 涉及对数非线性的各向异性回火分数阶p -拉普拉斯模型
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023033
Lihong Zhang, Wenwen Hou, J. Nieto, Guotao Wang
{"title":"An anisotropic tempered fractional $ p $-Laplacian model involving logarithmic nonlinearity","authors":"Lihong Zhang, Wenwen Hou, J. Nieto, Guotao Wang","doi":"10.3934/eect.2023033","DOIUrl":"https://doi.org/10.3934/eect.2023033","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72713187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator 并联压电传感器/驱动器的瑞利光束稳定化
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023036
Yubo Bai, C. Prieur, Zhiqiang Wang
{"title":"Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator","authors":"Yubo Bai, C. Prieur, Zhiqiang Wang","doi":"10.3934/eect.2023036","DOIUrl":"https://doi.org/10.3934/eect.2023036","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77203883","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Stabilization for some degenerate wave equations 一类简并波动方程的镇定
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023047
Guang Zhang, Shugen Chai
{"title":"Stabilization for some degenerate wave equations","authors":"Guang Zhang, Shugen Chai","doi":"10.3934/eect.2023047","DOIUrl":"https://doi.org/10.3934/eect.2023047","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88618547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Asymptotic autonomy of random attractors for non-autonomous stochastic Navier-Stokes equations on bounded domains 有界区域上非自治随机Navier-Stokes方程随机吸引子的渐近自治
4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023049
Kush Kinra, Renhai Wang, Manil T. Mohan
{"title":"Asymptotic autonomy of random attractors for non-autonomous stochastic Navier-Stokes equations on bounded domains","authors":"Kush Kinra, Renhai Wang, Manil T. Mohan","doi":"10.3934/eect.2023049","DOIUrl":"https://doi.org/10.3934/eect.2023049","url":null,"abstract":"This article concerns the long-term random dynamics for a non-autonomous Navier-Stokes equation defined on a bounded smooth domain $ mathcal{O} $ driven by multiplicative and additive noise. For the two kinds of noise driven equations, we demonstrate that the existence of a unique pullback attractor which is backward compact and asymptotically autonomous in $ mathbb{L}^2(mathcal{O}) $ and $ mathbb{H}_0^1(mathcal{O}) $, respectively. The compact embedding $ {mathbb{H}}_0^1(mathcal{O})subset{mathbb{L}}^2(mathcal{O}) $ helps us to show the backward-uniform pullback asymptotic compactness (BUPAC) of the non-autonomous random dynamical systems (NRDS) in the Lebesgue space $ {mathbb{L}}^2(mathcal{O}) $. The backward-uniform flattening property of the solutions is used to prove the BUPAC of the NRDS in the Sobolev space $ mathbb{H}_0^1(mathcal{O}) $.","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135496188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 2
Regularity results for degenerate wave equations in a neighborhood of the boundary 简并波动方程在边界附近的正则性结果
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2022-09-05 DOI: 10.3934/eect.2023013
Bruno S. V. Ara'ujo, R. Demarque, L. Viana
{"title":"Regularity results for degenerate wave equations in a neighborhood of the boundary","authors":"Bruno S. V. Ara'ujo, R. Demarque, L. Viana","doi":"10.3934/eect.2023013","DOIUrl":"https://doi.org/10.3934/eect.2023013","url":null,"abstract":"In this paper we establish some regularity results concerning the behavior of weak solutions and very weak solutions of the degenerate wave equation near the boundary. For the nondegenerate case, the correponding results were originally obtained by Fabre and Puel (J. of Diff. Eq. 106, 1993). This kind of results is closely related to the exact boundary controllability for the wave equation as the limit of internal controllability.","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84414155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Boundary null controllability for the heat equation with dynamic boundary conditions 具有动态边界条件的热方程的边界零可控性
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2022-06-21 DOI: 10.3934/eect.2022041
Salah-Eddine Chorfi, G. E. Guermai, A. Khoutaibi, L. Maniar
{"title":"Boundary null controllability for the heat equation with dynamic boundary conditions","authors":"Salah-Eddine Chorfi, G. E. Guermai, A. Khoutaibi, L. Maniar","doi":"10.3934/eect.2022041","DOIUrl":"https://doi.org/10.3934/eect.2022041","url":null,"abstract":"In this paper, we are concerned with the boundary controllability of heat equation with dynamic boundary conditions. More precisely, we prove that the equation is null controllable at any positive time by means of a boundary control supported on an arbitrary subboundary. The proof of the main result combines a new boundary Carleman estimate and some regularity estimates for the adjoint system, with an explicit dependence with respect to the final time. This technique allows us to overcome a new difficulty that arises when absorbing a normal derivative term.","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73063269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 2
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