Applicable Analysis最新文献_第9页

Analysis of a reaction–diffusion dengue model with vector bias on a growing domain 在生长域上具有媒介偏差的反应-扩散登革热模型分析

4区数学

Applicable Analysis Pub Date : 2023-11-14 DOI: 10.1080/00036811.2023.2281506

Jinliang Wang, Hao Qu, Desheng Ji

{"title":"Analysis of a reaction–diffusion dengue model with vector bias on a growing domain","authors":"Jinliang Wang, Hao Qu, Desheng Ji","doi":"10.1080/00036811.2023.2281506","DOIUrl":"https://doi.org/10.1080/00036811.2023.2281506","url":null,"abstract":"AbstractIn this paper, we consider a reaction–diffusion dengue model on a varying domain that monotonically increases in time and gradually approaches saturation arising from environmental change. By the upper and lower solutions, comparison principle, asymptotic autonomous semiflows and the technique of Lyapunov function, we investigate the stabilities of equilibria in terms of the basic reproduction number ℜ0ρ. The results show that (i) if ℜ0ρ>1, the nontrivial solutions starting from the upper and lower solutions of the model approach to the set formulated by the maximal and minimal solutions of its related elliptic problem; (ii) the disease-free equilibrium is globally asymptotically stable when ℜ0ρ<1. Comparing our problem in different settings including growing domain, fixed domain and without spatial structure, our results demonstrate that the disease can spread in the growing domain, while vanish in the fixed domain; and the spatial model decreases the transmission risk compared with the system without spatial structure.Keywords: Dengue modelgrowing domainbasic reproduction numbervanishing and spreadingLyapunov functionMathematic Subject classifications: 34K3035K5735Q8092D25 Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis work was supported by National Natural Science Foundation of China (No. 12071115) and Heilongjiang Natural Science Funds for Distinguished Younger Scholar (No. JQ2023A005).","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"19 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134953570","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

Anisotropic parabolic-elliptic systems with degenerate thermal conductivity 具有退化导热系数的各向异性抛物-椭圆体系

4区数学

Applicable Analysis Pub Date : 2023-11-11 DOI: 10.1080/00036811.2023.2282140

H. Khelifi

引用次数: 0

Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations 两个椭圆方程小体积支持势源的互易间隙泛函

4区数学

Applicable Analysis Pub Date : 2023-11-08 DOI: 10.1080/00036811.2023.2279951

Govanni Granados, Isaac Harris

{"title":"Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations","authors":"Govanni Granados, Isaac Harris","doi":"10.1080/00036811.2023.2279951","DOIUrl":"https://doi.org/10.1080/00036811.2023.2279951","url":null,"abstract":"AbstractIn this paper, we consider inverse shape problems coming from diffuse optical tomography and the Helmholtz equation. In both problems, our goal is to reconstruct small volume interior regions from measured data on the exterior surface of an object. In order to achieve this, we will derive an asymptotic expansion of the reciprocity gap functional associated with each problem. The reciprocity gap functional takes in the measured Cauchy data on the exterior surface of the object. In diffuse optical tomography, we prove that a MUSIC-type algorithm that does not require evaluating the Green's function can be used to recover the unknown subregions. This gives an analytically rigorous and computationally simple method for recovering the small volume regions. For the problem coming from inverse scattering, we recover the subregions of interest via a direct sampling method. The direct sampling method presented here allows us to accurately recover the small volume region from one pair of Cauchy data, requiring less data than many direct sampling methods. We also prove that the direct sampling method is stable with respect to noisy data. Numerical examples will be presented for both cases in two dimensions where the measurement surface is the unit circle.Keywords: Diffuse optical tomographyhelmholtz equationMUSIC algorithmdirect samplingMathematics Subject Classifications: 35J0535J25 Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThe research of G. Granados and I. Harris is partially supported by the NSF DMS Grant 2107891.","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"132 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135342379","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 singular Adams' inequality with logarithmic weights and applications 具有对数权值的奇异亚当斯不等式及其应用

4区数学

Applicable Analysis Pub Date : 2023-11-08 DOI: 10.1080/00036811.2023.2279955

Shiqi Zhang

引用次数: 0

An inverse problem for a generalized FitzHugh–Nagumo type system 一类广义FitzHugh-Nagumo型系统的逆问题

4区数学

Applicable Analysis Pub Date : 2023-10-22 DOI: 10.1080/00036811.2023.2271950

Laure Cardoulis, Michel Cristofol

引用次数: 0

Global well-posedness for nonhomogeneous magnetic Bénard system 非齐次磁b<s:1>系统的全局适定性

4区数学

Applicable Analysis Pub Date : 2023-10-21 DOI: 10.1080/00036811.2023.2271941

Xin Zhong

引用次数: 0

Global well-posedness and large-time behavior of solutions to the 3D inviscid magneto-micropolar equations with damping 带阻尼的三维无粘磁微极方程解的全局适定性和大时性

4区数学

Applicable Analysis Pub Date : 2023-10-21 DOI: 10.1080/00036811.2023.2271946

Xinliang Li, Dandan Ding

{"title":"Global well-posedness and large-time behavior of solutions to the 3D inviscid magneto-micropolar equations with damping","authors":"Xinliang Li, Dandan Ding","doi":"10.1080/00036811.2023.2271946","DOIUrl":"https://doi.org/10.1080/00036811.2023.2271946","url":null,"abstract":"AbstractWe first establish the existence of global strong solutions to the 3D inviscid incompressible magneto-micropolar equations with a velocity damping in Sobolev spaces HK(K⩾3), where the H3 norm of initial data is small, but its higher order derivatives could be large. Combining the H˙−s norm (0≤s<32) or B˙2,∞−s norm (0<s≤32) of the initial magnetic field is finite with some tricky interpolation estimates, we show ‖∇nB(t)‖L2≤C0(1+t)−n2−32p+34 and two faster decay rates for the velocity and the micro-rotation field ‖∇n(U,w)(t)‖L2≤C0(1+t)−n2−32p+14, which are shown to be the usual Lp−L2 (1≤p≤2) type of the optimal time decay rates for 3D inviscid incompressible magneto-micropolar equations with damping. We then conclude the damping term contributes to weaken the assumption of initial condition and enhance the decay rate of velocity compared to the classical incompressible viscous magneto-micropolar equations. Meanwhile, for the 3D inviscid compressible magneto-micropolar fluid, the damping term also has the same effect on the decay rate of the velocity.Keywords: Global well-posednessoptimal decay ratesmagneto-micropolar fluidsvelocity dampingMathematics Subject Classifications (2010): 35Q3535B4076D03 AcknowledgmentsThe authors would like to thank the referees for their careful reading of the work and their many helpful suggestions. Thanks are also due to Professor Zhong Tan for his support and constant encouragement.Disclosure statementNo potential conflict of interest was reported by the author(s).","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135511653","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

Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces 求解Banach空间中伪单调变分不等式问题的惯性次梯度法

4区数学

Applicable Analysis Pub Date : 2023-10-21 DOI: 10.1080/00036811.2023.2267576

Zai-Yun Peng, Zhi-Ying Peng, Gang Cai, Gao-Xi Li

{"title":"Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces","authors":"Zai-Yun Peng, Zhi-Ying Peng, Gang Cai, Gao-Xi Li","doi":"10.1080/00036811.2023.2267576","DOIUrl":"https://doi.org/10.1080/00036811.2023.2267576","url":null,"abstract":"AbstractIn this paper, an inertial subgradient extragradient algorithm is proposed to solve the pseudomonotone variational inequality problems in Banach space. This iterative scheme employs a new line-search rule. Strong convergence theorems for the proposed algorithms are established under the assumptions that the operators are non-Lipschitz continuous. Furthermore, several numerical experiments are given to show that our method has better convergence performance than the known ones in the literatures.COMMUNICATED BY: J. ZouKeywords: Variational inequalitiespseudomonotone operatorBanach spacesubgradient extragradient methodstrong convergenceMathematics Subject Classifications: 47H0547H0747H1054H25 Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThe first author was supported by the National Natural Science Foundation of China (12271067), the Chongqing Natural Science Foundation (cstc2021jcyj-msxmX0080), the Group Building Project for Scientific Innovation for Universities in Chongqing (CXQT21021) and the Science and Technology Research Program of Chongqing Municipal Education Commission (KJZD-K202200704). The second author was supported by the Chongqing Jiaotong University Postgraduate Research Innovation Project (2022S0070) and the Joint Training Base Construction Project for Graduate Students in Chongqing (JDLHPYJD2021016). The third author supported by the Chongqing Natural Science Foundation (CSTB2022NSCQ-MSX1318). The fourth author supported by the Science and Technology Research Program of Chongqing Municipal Education Commission (KJQN202000710), the Chongqing Natural Science Foundation (CSTB2022NSCQ-MSX1498).","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"75 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135510914","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

Semidiscrete numerical approximation for dynamic hemivariational inequalities with history-dependent operators 具有历史相关算子的动态半分不等式的半离散数值逼近

4区数学

Applicable Analysis Pub Date : 2023-10-19 DOI: 10.1080/00036811.2023.2271031

Yujie Li, Xiaoliang Cheng, Hailing Xuan

{"title":"Semidiscrete numerical approximation for dynamic hemivariational inequalities with history-dependent operators","authors":"Yujie Li, Xiaoliang Cheng, Hailing Xuan","doi":"10.1080/00036811.2023.2271031","DOIUrl":"https://doi.org/10.1080/00036811.2023.2271031","url":null,"abstract":"AbstractIn this paper, we are concerned with a class of second-order hemivariational inequalities involving history-dependent operators. For the problem, we first derive a semidiscrete scheme by implicit Euler formula and prove its unique solvability. The existence and uniqueness of a solution to the inequality problem is given by Rothe method. As the core part of the paper, we propose a two-step semidiscrete approximation for the problem, provide its unique solvability and obtain its second-order error estimates. The two-step scheme is more accurate than the standard implicit Euler scheme. Finally, we apply the results to a dynamic frictionless contact problem with long memory.Keywords: Hemivariational inequalitycontact problemhistory-dependent operatorerror estimatesMathematic Subject classifications: 65M1565N2274H15 Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThe authors would like to thank the anonymous reviewers for their valuable comments and suggestions. This work was supported by the European Unions Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie Grand Agreement No. 823731 CONMECH.","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135778380","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

The critical Choquard equations with a Kirchhoff type perturbation in bounded domains 有界域上具有Kirchhoff型扰动的临界Choquard方程

4区数学

Applicable Analysis Pub Date : 2023-10-19 DOI: 10.1080/00036811.2023.2271945

Xueliang Duan, Xiaofan Wu, Gongming Wei, Haitao Yang

引用次数: 0