Applicable Analysis最新文献_第10页

On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation 一类非线性时间分数阶Schrödinger方程全局弱解的不存在性

4区数学

Applicable Analysis Pub Date : 2023-10-18 DOI: 10.1080/00036811.2022.2036335

Munirah Alotaibi, Mohamed Jleli, Maria Alessandra Ragusa, Bessem Samet

引用次数: 1

Multiplicity of solutions for a critical nonlinear Schrödinger–Kirchhoff-type equation 临界非线性Schrödinger-Kirchhoff-type方程解的多重性

4区数学

Applicable Analysis Pub Date : 2023-10-18 DOI: 10.1080/00036811.2023.2269967

Jianjun Nie, Quanqing Li

引用次数: 0

On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain 非线性退化域上Burgers方程的初边值问题

4区数学

Applicable Analysis Pub Date : 2023-10-18 DOI: 10.1080/00036811.2023.2271967

M. T. Jenaliyev, M. G. Yergaliyev

{"title":"On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain","authors":"M. T. Jenaliyev, M. G. Yergaliyev","doi":"10.1080/00036811.2023.2271967","DOIUrl":"https://doi.org/10.1080/00036811.2023.2271967","url":null,"abstract":"AbstractIn this paper, we study the solvability of one initial-boundary value problem for the Burgers equation with periodic boundary conditions in a nonlinearly degenerating domain. In this paper, we found an orthonormal basis for domains with time-varying boundaries. On this basis, we use the Faedo–Galerkin method to prove theorems about the unique solvability of the problem under consideration. We also present some numerical results in the form of graphs of solutions to the problem under study for various initial data.Keywords: Burgers equationperiodic boundary conditionsdegenerating domainGalerkin methodMathematics Subject Classifications: 35K5535K1035R37 Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThe research of the second author was supported by the grant of the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan, Project AP13067805. The research of the first author was supported by the grant of the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan, Project AP09258892.","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135888714","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

Decay estimates of the 3D magneto-micropolar system with applications to L ₃ -strong solutions 三维磁微极系统的衰减估计及其在l3强溶液中的应用

4区数学

Applicable Analysis Pub Date : 2023-10-18 DOI: 10.1080/00036811.2023.2271533

Xiuping Ye, Xueyun Lin

引用次数: 0

A convergence criterion for elliptic variational inequalities 椭圆型变分不等式的收敛准则

4区数学

Applicable Analysis Pub Date : 2023-10-16 DOI: 10.1080/00036811.2023.2268636

Claudia Gariboldi, Anna Ochal, Mircea Sofonea, Domingo A. Tarzia

{"title":"A convergence criterion for elliptic variational inequalities","authors":"Claudia Gariboldi, Anna Ochal, Mircea Sofonea, Domingo A. Tarzia","doi":"10.1080/00036811.2023.2268636","DOIUrl":"https://doi.org/10.1080/00036811.2023.2268636","url":null,"abstract":"AbstractWe consider an elliptic variational inequality with unilateral constraints in a Hilbert space X which, under appropriate assumptions on the data, has a unique solution u. We formulate a convergence criterion to the solution u, i.e. we provide necessary and sufficient conditions on a sequence {un}⊂X which guarantee the convergence un→u in the space X. Then we illustrate the use of this criterion to recover well-known convergence results and well-posedness results in the sense of Tykhonov and Levitin–Polyak. We also provide two applications of our results, in the study of a heat transfer problem and an elastic frictionless contact problem, respectively.Keywords: Elliptic variational inequalityconvergence criterionconvergence resultswell-posednesscontactheat transferunilateral constraint2010 MSC: 47J2049J4040A0574M1574M1035J20 AcknowledgmentsThis project has received funding from the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie Grant Agreement No. 823731 CONMECH. The second author was also supported by the Ministry of Science and Higher Education of Republic of Poland under Grant No. 440328/PnH2/2019, and in part from National Science Centre, Poland under project OPUS no. 2021/41/B/ST1/01636.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis work was supported by European Commission[].","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136114499","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

Dynamical analysis on stochastic two-species models 随机两种模型的动力学分析

4区数学

Applicable Analysis Pub Date : 2023-10-16 DOI: 10.1080/00036811.2023.2270214

Guangbin Wang, Jingliang Lv, Xiaoling Zou

{"title":"Dynamical analysis on stochastic two-species models","authors":"Guangbin Wang, Jingliang Lv, Xiaoling Zou","doi":"10.1080/00036811.2023.2270214","DOIUrl":"https://doi.org/10.1080/00036811.2023.2270214","url":null,"abstract":"AbstractIn this paper, we study three stochastic two-species models. We construct the stochastic models corresponding to its deterministic model by introducing stochastic noise into the equations. For the first model, we show that the system has a unique global solution starting from the positive initial value. In addition, we discuss the extinction and the existence of stationary distribution under some conditions. For the second system, we explore the existence and uniqueness of the solution. Then we obtain sufficient conditions for global asymptotic stability of the equilibrium point and the positive recurrence of solution. For the last model, the existence and uniqueness of solution, the sufficient conditions for extinction and asymptotic stability and the positive recurrence of solution and weak persistence are derived. And numerical simulations are performed to support our results.Keywords: Stabilityextinctionstationary distributionpositive recurrenceweak persistenceMathematics Subject Classifications: 60G1560G4460G5260H10 Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis research was supported by Natural Science Foundation of Shandong Province, China [grant number ZR2020MA038] and [grant number ZR2020MA037].","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"218 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136113575","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

Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials 具有Hardy势的Hardy- sobolev型不等式的极小值的存在性与不存在性

4区数学

Applicable Analysis Pub Date : 2023-10-13 DOI: 10.1080/00036811.2023.2268659

Jann-Long Chern, Masato Hashizume, Gyeongha Hwang

{"title":"Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials","authors":"Jann-Long Chern, Masato Hashizume, Gyeongha Hwang","doi":"10.1080/00036811.2023.2268659","DOIUrl":"https://doi.org/10.1080/00036811.2023.2268659","url":null,"abstract":"AbstractMotivated by the Hardy-Sobolev inequality with multiple Hardy potentials, we consider the following minimization problem : inf{|u|2s∗|x|s∫Ω|∇u|2dx−λ1∫Ωu2|x−P1|2dx−λ2∫Ωu2|x−P2|2dx|u∈H01(Ω),∫Ω|u|2s∗|x|sdx=1}where N≥3, Ω is a smooth domain, λ1,λ2∈R, 0,P1,P2∈Ω, s∈(0,2) and 2s∗=2(N−s)N−2. Concerning the coefficients of Hardy potentials, we derive a sharp threshold for the existence and non-existence of a minimizer. In addition, we study the existence and non-existence of a positive solution to the Euler-Lagrangian equations corresponding to the minimization problems.Keywords: Semilinear elliptic equationexistencenon-existenceminimizers of Hardy-Sobolev type inequalityHardy potentialMathematic Subject classifications: 35J2035J61 Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThe first author is supported by NSTC of Taiwan, Grant Number NSTC 110-2115-M-003-019-MY3 and NSTC 111-2218-E-008-004-MBK. The second author is supported by Grant-in-Aid for JSPS Research Fellow (JSPS KAKENHI Grant Number JP19K14571) and Osaka Central Advanced Mathematical Institute: MEXT Joint Usage/Research Center on Mathematics and Theoretical Physics JPMXP0619217849. The third author is supported by the 2020 Yeungnam University Research Grant. The authors thank Professors Futoshi Takahashi and Megumi Sano for their helpful comments on the results.","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135854223","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

Unique local weak solutions of the non-resistive MHD equations in homogeneous Besov space 齐次Besov空间中非电阻MHD方程的唯一局部弱解

4区数学

Applicable Analysis Pub Date : 2023-10-12 DOI: 10.1080/00036811.2023.2268634

Baoquan Yuan, Xueli Ke

{"title":"Unique local weak solutions of the non-resistive MHD equations in homogeneous Besov space","authors":"Baoquan Yuan, Xueli Ke","doi":"10.1080/00036811.2023.2268634","DOIUrl":"https://doi.org/10.1080/00036811.2023.2268634","url":null,"abstract":"ABSTRACTIn this paper, the local existence and uniqueness of weak solutions to a d-dimensional non-resistive MHD equations in homogeneous Besov spaces are studied. Specifically we obtain the local existence of a weak solution (u,b) of the non-resistive MHD equations for the initial data u0∈B˙p,1dp−1(Rd) and b0∈B˙p,1dp(Rd) with 1≤p≤∞, and the uniqueness of the weak solution when 1≤p≤2d. Compared with the previous results for the non-resistive MHD equations, in the local existence part, the range of p extends to 1≤p≤∞ from 1≤p≤2d, but the uniqueness of the solution requires 1≤p≤2d yet.KEYWORDS: Non-resistive MHD equationshomogeneous Besov spaceuniquenessweak solutionMATHEMATIC SUBJECT CLASSIFICATIONS (2000): 35Q3576D0376W05 Disclosure statementNo potential conflict of interest was reported by the author(s).Data availability statementData sharing not applicable to this article as no datasets were generated or analysed during the current study.Additional informationFundingThe work of B. Yuan was partially supported by the Innovative Research Team of Henan Polytechnic University [grant number T2022-7], and double first-class discipline project [grant number AQ20230775].","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136012904","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

Global existence proof for the spatially homogeneous relativistic Boltzmann equation with soft potentials 具有软势的空间齐次相对论玻尔兹曼方程的整体存在性证明

4区数学

Applicable Analysis Pub Date : 2023-10-11 DOI: 10.1080/00036811.2023.2260406

Jianjun Huang, Zhenglu Jiang

{"title":"Global existence proof for the spatially homogeneous relativistic Boltzmann equation with soft potentials","authors":"Jianjun Huang, Zhenglu Jiang","doi":"10.1080/00036811.2023.2260406","DOIUrl":"https://doi.org/10.1080/00036811.2023.2260406","url":null,"abstract":"AbstractWe study the spatially homogeneous solutions for the relativistic kinetic equations. It is shown that the Cauchy problem for the relativistic Boltzmann and Landau equation with soft potentials admits a global weak solution if the mass, energy and entropy of the initial data are finite. Besides the asymptotic behavior of grazing collisions of the relativistic Boltzmann equation is concerned. We prove that the subsequences of solutions to the relativistic Boltzmann equation weakly converge to the solutions of the relativistic Landau equation when almost all the collisions are grazing. These results are extensions of the work of Villani for the spatially homogeneous Boltzmann and Landau equations in the classical case.Keywords: Relativistic Boltzmann equationrelativistic Landau equationsoft potentialsgrazing collision2010 Mathematics Subject Classification: 35Q20 AcknowledgementsThe authors would like to thank the referees of this paper for their helpful suggestions on this work.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis work was supported by NSFC 11171356.","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136211701","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

Optimal control problem stated in a locally periodic rough domain: a homogenization study 局部周期粗糙域的最优控制问题:均匀化研究

4区数学

Applicable Analysis Pub Date : 2023-10-06 DOI: 10.1080/00036811.2023.2265967

S. Aiyappan, Giuseppe Cardone, Carmen Perugia

引用次数: 0