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Existence of regular time-periodic solutions for a class of non-Newtonian double-diffusive convection system 一类非牛顿双扩散对流系统正则时间周期解的存在性
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2025-06-09 DOI: 10.21136/AM.2025.0268-24
Qiong Wu, Changjia Wang
{"title":"Existence of regular time-periodic solutions for a class of non-Newtonian double-diffusive convection system","authors":"Qiong Wu,&nbsp;Changjia Wang","doi":"10.21136/AM.2025.0268-24","DOIUrl":"10.21136/AM.2025.0268-24","url":null,"abstract":"<div><p>We investigate a system of partial differential equations that models the motion of an incompressible double-diffusion convection fluid. The additional stress tensor is generated by a potential with <i>p</i>-structure. In a three-dimensional periodic setting and <span>(p in [{{5} over {3}},2))</span>, we employ a regularized approximation scheme in conjunction with the Galerkin method to establish the existence of regular solutions, provided that the forcing term is properly small. Furthermore, we demonstrate the existence of periodic regular solutions with period <i>T</i> when the external force exhibits periodicity in time with the same period <i>T</i>.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 3","pages":"387 - 411"},"PeriodicalIF":0.7,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163510","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
WENO-Z scheme with new nonlinear weights for Hamilton-Jacobi equations and adaptive approximation Hamilton-Jacobi方程新的非线性权值WENO-Z格式和自适应逼近
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2025-05-28 DOI: 10.21136/AM.2025.0258-24
Kwangil Kim, Kwanhung Ri, Wonho Han
{"title":"WENO-Z scheme with new nonlinear weights for Hamilton-Jacobi equations and adaptive approximation","authors":"Kwangil Kim,&nbsp;Kwanhung Ri,&nbsp;Wonho Han","doi":"10.21136/AM.2025.0258-24","DOIUrl":"10.21136/AM.2025.0258-24","url":null,"abstract":"<div><p>A new fifth-order weighted essentially nonoscillatory (WENO) scheme is designed to approximate Hamilton-Jacobi equations. As employing a fifth-order linear approximation and three third-order ones on the same six-point stencil as before, a newly considered WENO-Z methodology is adapted to define nonlinear weights and the final WENO reconstruction results in a simple and clear convex combination. The scheme has formal fifth-order accuracy in smooth regions of the solution and nonoscillating behavior nearby singularities. A full account is given of the key role of parameters in WENO reconstruction and their selection. The latter half describes the adaptive stage on WENO approximation in convergence framework, which enables us to get the numerical solution to converge still achieving high-order accuracy for the nonconvex problems where the pure WENO scheme fails to converge. Detailed numerical experiments are performed to demonstrate the ability of the proposed numerical methods.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 3","pages":"413 - 439"},"PeriodicalIF":0.7,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170476","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
Exponential stability for Timoshenko model with thermal effect 热效应下Timoshenko模型的指数稳定性
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2025-05-13 DOI: 10.21136/AM.2025.0161-24
Luiz Gutemberg Rosário Miranda, Bruno Magalhães Alves
{"title":"Exponential stability for Timoshenko model with thermal effect","authors":"Luiz Gutemberg Rosário Miranda,&nbsp;Bruno Magalhães Alves","doi":"10.21136/AM.2025.0161-24","DOIUrl":"10.21136/AM.2025.0161-24","url":null,"abstract":"<div><p>We performe an exponential decay analysis for a Timoshenko-type system under the thermal effect by constructing the Lyapunov functional. More precisely, this thermal effect is acting as a mechanism for dissipating energy generated by the bending of the beam, acting only on the vertical displacement equation, different from other works already existing in the literature. Furthermore, we show the good placement of the problem using semigroup theory.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 2","pages":"149 - 168"},"PeriodicalIF":0.7,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145165279","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
On the existence of nontrivial solutions for modified fractional Schrödinger-Poisson systems via perturbation method 用摄动法研究修正分数阶Schrödinger-Poisson系统非平凡解的存在性
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2025-05-12 DOI: 10.21136/AM.2025.0232-23
Atefe Goli, Sayyed Hashem Rasouli, Somayeh Khademloo
{"title":"On the existence of nontrivial solutions for modified fractional Schrödinger-Poisson systems via perturbation method","authors":"Atefe Goli,&nbsp;Sayyed Hashem Rasouli,&nbsp;Somayeh Khademloo","doi":"10.21136/AM.2025.0232-23","DOIUrl":"10.21136/AM.2025.0232-23","url":null,"abstract":"<div><p>The existence of nontrivial solutions is considered for the fractional Schrödinger-Poisson system with double quasi-linear terms: </p><div><div><span>$$begin{cases}(-Delta)^{s}u+V(x)u+phi u -{1over2}u (-Delta)^{s}u^{2}=f(x,u), &amp; xinmathbb{R}^{3} , (-Delta)^{t} phi= u^{2}, &amp; xinmathbb{R}^{3},end{cases}$$</span></div></div><p> where (−Δ)<sup><i>α</i></sup> is the fractional Laplacian for <i>α</i> = <i>s</i>, <i>t</i> ∈ (0, 1] with <i>s</i> &lt; <i>t</i> and 2<i>t</i> + 4<i>s</i> &gt; 3. Under assumptions on <i>V</i> and <i>f</i>, we prove the existence of positive solutions and negative solutions for the above system by using perturbation method and the mountain pass theorem.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 2","pages":"293 - 310"},"PeriodicalIF":0.7,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164229","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
Local accuracy in finite element analysis using curved isoparametric elements 曲面等参单元有限元分析中的局部精度
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2025-05-07 DOI: 10.21136/AM.2025.0049-25
Pranjal Saxena, Chandra Shekhar Upadhyay
{"title":"Local accuracy in finite element analysis using curved isoparametric elements","authors":"Pranjal Saxena,&nbsp;Chandra Shekhar Upadhyay","doi":"10.21136/AM.2025.0049-25","DOIUrl":"10.21136/AM.2025.0049-25","url":null,"abstract":"<div><p>The finite element method (FEM) is popularly used for numerically approximating PDE(s) over complicated domains due to its rich mathematical background, versatility, and ease of implementation. In this article, we investigate one of its important features, i.e., the approximation of PDE(s) over nonpolygonal Lipschitz domains by higher-order simplicial elements in 2D and 3D. This important issue is not well understood and often ignored by engineers due to its mathematical complexity, i.e., the FEM approximation of curved domains results in inexact boundary conditions, which is a variational crime. This article explores the role of approximation at curved boundaries. Further, the effect of incompleteness of the approximation space also contributes to the error induced in the curved elements. A simple benchmark test for errors is proposed. Tests are conducted for subparametric and isoparametric approximations. Comparison with isogeometric analysis (IGA) is also presented to highlight the basic differences and advantages of isoparametric elements.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 2","pages":"257 - 292"},"PeriodicalIF":0.7,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163242","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
Capacity solutions for a degenerate pi(x)-Laplacian thermistor system with electrical conductivities 具有电导率的退化pi(x)-拉普拉斯热敏电阻系统的容量解
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2025-04-04 DOI: 10.21136/AM.2025.0220-24
Hichem Khelifi
{"title":"Capacity solutions for a degenerate pi(x)-Laplacian thermistor system with electrical conductivities","authors":"Hichem Khelifi","doi":"10.21136/AM.2025.0220-24","DOIUrl":"10.21136/AM.2025.0220-24","url":null,"abstract":"<div><p>We establish the existence of a capacity solution for a degenerate anisotropic stationary system with variable exponents and electrical conductivity. The system is a generalization of the thermistor problem, addressing the interaction between temperature and electric potential within semiconductor material.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 2","pages":"203 - 230"},"PeriodicalIF":0.7,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161654","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
New generalization of compound Rayleigh distribution: Different estimation methods based on progressive type-II censoring schemes and applications 复合瑞利分布的新概化：基于渐进式ii型滤波方案的不同估计方法及其应用
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2025-03-28 DOI: 10.21136/AM.2025.0078-24
Omid Shojaee, Reza Azimi
{"title":"New generalization of compound Rayleigh distribution: Different estimation methods based on progressive type-II censoring schemes and applications","authors":"Omid Shojaee,&nbsp;Reza Azimi","doi":"10.21136/AM.2025.0078-24","DOIUrl":"10.21136/AM.2025.0078-24","url":null,"abstract":"<div><p>Fitting a suitable distribution to the data from a real experiment is a crucial topic in statistics. However, many of the existing distributions cannot account for the effect of environmental conditions on the components under test. Moreover, the components are usually heterogeneous, meaning that they do not share the same distribution. In this article, we aim to obtain a new generalization of the Compound Rayleigh distribution by using mixture models and incorporating the environmental conditions on the components. The new distribution is expected to be a flexible distribution that encompasses some other distributions as special cases. We will also examine the properties and aging criteria of the new distribution. Over the past decades, various methods to estimate the unknown parameters of a statistical distribution have been proposed from the availability of type-II censored data. Thus, we estimate the parameters of the proposed distribution in the presence of type-II censored data using a Monte Carlo simulation study and real data analysis with maximum likelihood, maximum product of spacings, and Bayesian methods. Finally, different methods are compared by calculating the mean square error (MSE) of the resulting estimators.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 2","pages":"231 - 256"},"PeriodicalIF":0.7,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169926","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
Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regime 二维磁性Prandtl模型在Prandtl- hartmann区域解的局部适定性
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2025-03-26 DOI: 10.21136/AM.2025.0062-24
Yuming Qin, Xiuqing Wang, Junchen Liu
{"title":"Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regime","authors":"Yuming Qin,&nbsp;Xiuqing Wang,&nbsp;Junchen Liu","doi":"10.21136/AM.2025.0062-24","DOIUrl":"10.21136/AM.2025.0062-24","url":null,"abstract":"<div><p>We consider the 2D magnetic Prandtl equation in the Prandtl-Hartmann regime in a periodic domain and prove the local existence and uniqueness of solutions by energy methods in a polynomial weighted Sobolev space. On the one hand, we have noted that the <i>x</i>-derivative of the pressure <i>P</i> plays a key role in all known results on the existence and uniqueness of solutions to the Prandtl-Hartmann regime equations, in which the case of favorable <i>P</i> (<i>∂</i><sub><i>x</i></sub><i>P</i> &lt; 0) or the case of <i>∂</i><sub><i>x</i></sub><i>P</i> = 0 (led by constant outer flow <i>U</i> = constant) was only considered. While in this paper, we have no restriction on the sign of <i>∂</i><sub><i>x</i></sub><i>P</i>, which has generalized all previous results and definitely gives rise to a difficulty in mathematical treatments. To overcome this difficulty, we shall use the skill of cancellation mechanism which is valid under the monotonicity assumption. One the other hand, we consider the general outer flow <i>U</i> ≠ constant, leading to the boundary data at <i>y</i> = 0 being much more complicated. To deal with these boundary data, some more delicate estimates and mathematical induction method will be used. Therefore, our result also provides an extension of earlier studies by addressing the challenges arising from general outer flow.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 2","pages":"169 - 202"},"PeriodicalIF":0.7,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170287","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
Symmetric interior penalty discontinuous Galerkin method for nonlinear fully coupled quasi-static thermo-poroelasticity problems 非线性全耦合准静态热孔弹性问题的对称内罚不连续Galerkin方法
IF 0.6 4区 数学
Applications of Mathematics Pub Date : 2025-02-19 DOI: 10.21136/AM.2025.0197-24
Fan Chen, Ming Cui, Chenguang Zhou
{"title":"Symmetric interior penalty discontinuous Galerkin method for nonlinear fully coupled quasi-static thermo-poroelasticity problems","authors":"Fan Chen,&nbsp;Ming Cui,&nbsp;Chenguang Zhou","doi":"10.21136/AM.2025.0197-24","DOIUrl":"10.21136/AM.2025.0197-24","url":null,"abstract":"<div><p>We propose a symmetric interior penalty discontinuous Galerkin (DG) method for nonlinear fully coupled quasi-static thermo-poroelasticity problems. Firstly, a fully implicit nonlinear discrete scheme is constructed by adopting the DG method for the spatial approximation and the backward Euler method for the temporal discretization. Subsequently, the existence and uniqueness of the solution of the numerical scheme is proved, and then we derive the a priori error estimate for the three variables, i.e., the displacement, the pressure and the temperature. Lastly, we carry out numerical experiments to confirm the theoretical findings of our suggested approach.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 1","pages":"97 - 123"},"PeriodicalIF":0.6,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143594615","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
Two-step Ulm-Chebyshev-like method for inverse singular value problems with multiple singular values 多奇异值反奇异值问题的两步ulm - chebyshevlike方法
IF 0.6 4区 数学
Applications of Mathematics Pub Date : 2025-02-18 DOI: 10.21136/AM.2025.0237-24
Wei Ma, Yuqing Zhu, Yawei Dang
{"title":"Two-step Ulm-Chebyshev-like method for inverse singular value problems with multiple singular values","authors":"Wei Ma,&nbsp;Yuqing Zhu,&nbsp;Yawei Dang","doi":"10.21136/AM.2025.0237-24","DOIUrl":"10.21136/AM.2025.0237-24","url":null,"abstract":"<div><p>We study the convergence of two-step Ulm-Chebyshev-like method for solving the inverse singular value problems. We focus on the case when the given singular values are positive and multiple. This work extends the result of W. Ma (2022). We show that the new method is cubically convergent. Moreover, numerical experiments are given in the last section, which show that the proposed method is practical and efficient.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 1","pages":"65 - 95"},"PeriodicalIF":0.6,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143594503","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
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