Pub Date : 2024-01-23DOI: 10.1080/00036811.2024.2306874
Honglin Xiao, Changtai Zhou, Shaoyong Lai
A shallow water wave equation including the famous Degasperis-Procesi model is considered. Firstly, the L2 conservation law for the equation is derived. Secondly, using the methods of transport equ...
{"title":"Local-in-space wave breaking criteria for a shallow water wave equation","authors":"Honglin Xiao, Changtai Zhou, Shaoyong Lai","doi":"10.1080/00036811.2024.2306874","DOIUrl":"https://doi.org/10.1080/00036811.2024.2306874","url":null,"abstract":"A shallow water wave equation including the famous Degasperis-Procesi model is considered. Firstly, the L2 conservation law for the equation is derived. Secondly, using the methods of transport equ...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139556751","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}
Pub Date : 2024-01-18DOI: 10.1080/00036811.2024.2305837
Xiaoya Song
The aim of this paper is to investigate the uniform attractors for 3D MHD equations with nonlinear damping. Some uniform estimates for strong solutions are established. Furthermore, we prove that 3...
{"title":"Uniform attractors for 3D MHD equations with nonlinear damping","authors":"Xiaoya Song","doi":"10.1080/00036811.2024.2305837","DOIUrl":"https://doi.org/10.1080/00036811.2024.2305837","url":null,"abstract":"The aim of this paper is to investigate the uniform attractors for 3D MHD equations with nonlinear damping. Some uniform estimates for strong solutions are established. Furthermore, we prove that 3...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139499379","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}
Pub Date : 2024-01-17DOI: 10.1080/00036811.2024.2304635
David Maltese, Chokri Ogabi
In this article, we study some anisotropic singular perturbations for a class of linear elliptic problems. A uniform estimates for conforming Q1 finite element method are derived, and some other re...
{"title":"Uniform estimates for conforming Galerkin method for anisotropic singularly perturbed elliptic problems","authors":"David Maltese, Chokri Ogabi","doi":"10.1080/00036811.2024.2304635","DOIUrl":"https://doi.org/10.1080/00036811.2024.2304635","url":null,"abstract":"In this article, we study some anisotropic singular perturbations for a class of linear elliptic problems. A uniform estimates for conforming Q1 finite element method are derived, and some other re...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139499106","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}
Pub Date : 2024-01-14DOI: 10.1080/00036811.2024.2304056
Ming-Sheng Liu, Wen-Jie Luo, Saminathan Ponnusamy
In this paper, we first derive a Landau-type theorem and a Bloch-type theorem for the class of meromorphic harmonic mappings. Then we establish two new versions of Bloch-type theorems for certain K...
{"title":"Bloch-type theorems for meromorphic harmonic mappings","authors":"Ming-Sheng Liu, Wen-Jie Luo, Saminathan Ponnusamy","doi":"10.1080/00036811.2024.2304056","DOIUrl":"https://doi.org/10.1080/00036811.2024.2304056","url":null,"abstract":"In this paper, we first derive a Landau-type theorem and a Bloch-type theorem for the class of meromorphic harmonic mappings. Then we establish two new versions of Bloch-type theorems for certain K...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139471017","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}
Pub Date : 2024-01-14DOI: 10.1080/00036811.2024.2302964
Olawale K. Oyewole, Hammed A. Abass, Yekini Shehu
The aim of this paper is to introduce a forward-backward-forward algorithm with inertial extrapolation to solve the problem of finding a common solution to the variational inequality problem (CSVIP...
本文旨在介绍一种带有惯性外推法的前向后向算法，以解决变分不等式问题（CSVIP...
{"title":"Iterative approximation of common solution to variational inequality problems in Hadamard manifold","authors":"Olawale K. Oyewole, Hammed A. Abass, Yekini Shehu","doi":"10.1080/00036811.2024.2302964","DOIUrl":"https://doi.org/10.1080/00036811.2024.2302964","url":null,"abstract":"The aim of this paper is to introduce a forward-backward-forward algorithm with inertial extrapolation to solve the problem of finding a common solution to the variational inequality problem (CSVIP...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139468937","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}
Pub Date : 2024-01-11DOI: 10.1080/00036811.2024.2302968
Z. Ahmadi, R. Lashkaripour, S. Heidarkhani, Anderson L. A. de Araujo
{"title":"Variational approaches to Dirichlet gradient-type systems on the Sierpiński gasket","authors":"Z. Ahmadi, R. Lashkaripour, S. Heidarkhani, Anderson L. A. de Araujo","doi":"10.1080/00036811.2024.2302968","DOIUrl":"https://doi.org/10.1080/00036811.2024.2302968","url":null,"abstract":"","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139438126","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}
Pub Date : 2024-01-08DOI: 10.1080/00036811.2024.2302405
Gung-Min Gie, Youngjoon Hong, Chang-Yeol Jung
In this paper, we propose a novel semi-analytic physics informed neural network (PINN) method for solving singularly perturbed boundary value problems. The PINN is a scientific machine learning fra...
{"title":"Semi-analytic PINN methods for singularly perturbed boundary value problems","authors":"Gung-Min Gie, Youngjoon Hong, Chang-Yeol Jung","doi":"10.1080/00036811.2024.2302405","DOIUrl":"https://doi.org/10.1080/00036811.2024.2302405","url":null,"abstract":"In this paper, we propose a novel semi-analytic physics informed neural network (PINN) method for solving singularly perturbed boundary value problems. The PINN is a scientific machine learning fra...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139464314","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}
Pub Date : 2024-01-08DOI: 10.1080/00036811.2024.2302092
Yannan Cao, Der-Chen Chang, Xinfeng Wu
{"title":"Relations between product and flag Triebel-Lizorkin spaces","authors":"Yannan Cao, Der-Chen Chang, Xinfeng Wu","doi":"10.1080/00036811.2024.2302092","DOIUrl":"https://doi.org/10.1080/00036811.2024.2302092","url":null,"abstract":"","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139446830","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}
Pub Date : 2024-01-05DOI: 10.1080/00036811.2023.2301661
Qihan He, Zongyan Lv
In this paper, we study the existence of ground state solution for the following Kirchhoff equation with combined nonlinearities −(a+b∫RN|∇u|2)Δu=λu+|u|p−2u+μ|u|q−2uinRN,1≤N≤3 with prescribed mass...
{"title":"The existence of ground state normalized solution for Kirchhoff equation","authors":"Qihan He, Zongyan Lv","doi":"10.1080/00036811.2023.2301661","DOIUrl":"https://doi.org/10.1080/00036811.2023.2301661","url":null,"abstract":"In this paper, we study the existence of ground state solution for the following Kirchhoff equation with combined nonlinearities −(a+b∫RN|∇u|2)Δu=λu+|u|p−2u+μ|u|q−2uinRN,1≤N≤3\u0000with prescribed mass...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139374176","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}
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