Discrete and Continuous Dynamical Systems-Series S最新文献_第7页

Limiting profile of the blow-up solutions for the fourth-order nonlinear Emden-Fowler equation with a singular source 具有奇异源的四阶非线性Emden-Fowler方程爆破解的极限轮廓

IF 1.8 4区数学

Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023077

引用次数: 0

The qualitative behavior for one-dimensional sixth-order Boussinesq equation with logarithmic nonlinearity 具有对数非线性的一维六阶Boussinesq方程的定性行为

IF 1.8 4区数学

Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023141

Zhuang Han, Runzhang Xu, Yanbing Yang

引用次数: 0

Sliding mode control and its application in switched systems: A survey 滑模控制及其在切换系统中的应用综述

IF 1.8 4区数学

Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023009

Qi Liu, Baoping Jiang, Zhengtian Wu, Zhengping Chen, Wan-jun Hao

引用次数: 0

A convergence result for a Stefan problem with phase relaxation 具有相位松弛的Stefan问题的收敛性结果

IF 1.8 4区数学

Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023119

V. Recupero

引用次数: 0

On a two-scale phasefield model for topology optimization 拓扑优化的二尺度相场模型

4区数学

Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023206

Moritz Ebeling-Rump, Dietmar Hömberg, Robert Lasarzik

引用次数: 0

Dimensional reduction and emergence of defects in the Oseen-Frank model for nematic liquid crystals 向列液晶的Oseen-Frank模型的降维和缺陷的出现

4区数学

Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023174

Giacomo Canevari, Antonio Segatti

{"title":"Dimensional reduction and emergence of defects in the Oseen-Frank model for nematic liquid crystals","authors":"Giacomo Canevari, Antonio Segatti","doi":"10.3934/dcdss.2023174","DOIUrl":"https://doi.org/10.3934/dcdss.2023174","url":null,"abstract":"In this paper we discuss the behavior of the Oseen-Frank model for nematic liquid crystals in the limit of vanishing thickness. More precisely, in a thin slab $ Omegatimes (0, h) $ with $ Omegasubset mathbb{R}^2 $ and $ h>0 $ we consider the one-constant approximation of the Oseen-Frank model for nematic liquid crystals. We impose Dirichlet boundary conditions on the lateral boundary and weak anchoring conditions on the top and bottom faces of the cylinder $ Omegatimes (0, h) $. The Dirichlet datum has the form $ (g, 0) $, where $ gcolonpartialOmegato mathbb{S}^1 $ has non-zero winding number. Under appropriate conditions on the scaling, in the limit as $ hto 0 $ we obtain a behavior that is similar to the one observed in the asymptotic analysis (see [7]) of the two-dimensional Ginzburg-Landau functional. More precisely, we rigorously prove the emergence of a finite number of defect points in $ Omega $ having topological charges that sum to the degree of the boundary datum. Moreover, the position of these points is governed by a Renormalized Energy, as in the seminal results of Bethuel, Brezis and Hélein [7].","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135556893","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

Dafermos regularization and viscous wave fan profiles for Riemann solutions of Burger's equation Burger方程黎曼解的Dafermos正则化和粘性波扇分布

IF 1.8 4区数学

Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023047

Weishi Liu

引用次数: 2

Limiting behavior of invariant or periodic measure of Hopfield neural models driven by locally Lipschitz Lévy noise 局部Lipschitz l<s:1>杂波驱动的Hopfield神经模型不变或周期测度的极限行为

4区数学

Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023195

Hailang Bai, Yan Wang, Yu Wang

引用次数: 0

Well-posedness and long-time behavior of a bulk-surface coupled Cahn-Hilliard-diffusion system with singular potential for lipid raft formation 具有脂质筏形成奇异势的体积-表面耦合cahn - hilliard -扩散系统的适定性和长时间行为

4区数学

Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023169

Hao Wu, Shengqin Xu

{"title":"Well-posedness and long-time behavior of a bulk-surface coupled Cahn-Hilliard-diffusion system with singular potential for lipid raft formation","authors":"Hao Wu, Shengqin Xu","doi":"10.3934/dcdss.2023169","DOIUrl":"https://doi.org/10.3934/dcdss.2023169","url":null,"abstract":"We study a bulk-surface coupled system that describes the processes of lipid-phase separation and lipid-cholesterol interaction on cell membranes, in which cholesterol exchange between cytosol and cell membrane is also incorporated. The PDE system consists of a surface Cahn-Hilliard equation for the relative concentration of saturated/unsaturated lipids and a surface diffusion-reaction equation for the cholesterol concentration on the membrane, together with a diffusion equation for the cytosolic cholesterol concentration in the bulk. The detailed coupling between bulk and surface evolutions is characterized by a mass exchange term $q$. For the system with a physically relevant singular potential, we first prove the existence, uniqueness and regularity of global weak solutions to the full bulk-surface coupled system under suitable assumptions on the initial data and the mass exchange term $q$. Next, we investigate the large cytosolic diffusion limit that gives a reduction of the full bulk-surface coupled system to a system of surface equations with non-local contributions. Afterwards, we study the long-time behavior of global solutions in two categories, i.e., the equilibrium and non-equilibrium models according to different choices of the mass exchange term $q$. For the full bulk-surface coupled system with a decreasing total free energy, we prove that every global weak solution converges to a single equilibrium as $tto +infty$. For the reduced surface system with a mass exchange term of reaction type, we establish the existence of a global attractor.","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135400449","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

Robust stability and fuzzy controller synthesis for a class of hybrid re-entrant manufacturing systems 一类混合可再入制造系统的鲁棒稳定性与模糊控制器综合

IF 1.8 4区数学

Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023018

Kexin Zhang, M. Basin, Q. Gao, Yue Deng, Xiao Song

引用次数: 0