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

An eigenvalue problem for a variable exponent problem, via topological degree 通过拓扑度，求解变指数问题的特征值问题

3区数学

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023134

Raúl Manásevich, Satoshi Tanaka

引用次数: 0

Boundary layer problem on the chemotaxis model with Robin boundary conditions 具有Robin边界条件的趋化模型的边界层问题

3区数学

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023108

Qianqian Hou

引用次数: 0

Sobolev space weak solutions to one kind of quasilinear parabolic partial differential equations related to forward-backward stochastic differential equations 一类与正反向随机微分方程相关的拟线性抛物型偏微分方程的Sobolev空间弱解

IF 1.1 3区数学

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

Zhen Wu, Bing Xie, Zhiyong Yu

引用次数: 1

Multiple solutions to Gierer-Meinhardt systems Gierer-Meinhardt系统的多种解决方案

IF 1.1 3区数学

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023031

Abdelkrim Moussaoui

引用次数: 2

Center manifold theory for the 1-dimensional collective motions of camphor disks with delta functions in the $ L^2 $-framework L^2 -框架下具有δ函数的樟脑圆盘一维集体运动的中心流形理论

IF 1.1 3区数学

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023024

K. Ikeda

引用次数: 0

Global dynamics of evolution systems with asymptotic annihilation 渐近湮灭演化系统的全局动力学

IF 1.1 3区数学

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023025

Taishan Yi, Xiao-Qiang Zhao

引用次数: 2

Robust non-hyperbolic fibred quadratic polynomial dynamics 鲁棒非双曲纤维二次多项式动力学

IF 1.1 3区数学

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023080

Igsyl Domínguez, M. Ponce

引用次数: 0

Sequence complexity, rigidity and logarithmic Sarnak conjecture 序列复杂性、刚性和对数Sarnak猜想

IF 1.1 3区数学

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2022187

Rui Qiu, R. Wei, Leiye Xu

引用次数: 0

Uniqueness and regularity of weak solutions of a fluid-rigid body interaction system under the Prodi-Serrin condition Prodi-Serrin条件下流体-刚体相互作用系统弱解的唯一性和规律性

3区数学

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023123

Debayan Maity, Takéo Takahashi

引用次数: 1

Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics 具有奇异灵敏度和Lotka-Volterra竞争动力学的两种趋化系统的稳定性

3区数学

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023130

Halil ibrahim Kurt, Wenxian Shen

{"title":"Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics","authors":"Halil ibrahim Kurt, Wenxian Shen","doi":"10.3934/dcds.2023130","DOIUrl":"https://doi.org/10.3934/dcds.2023130","url":null,"abstract":"The current paper is concerned with the stabilization in the following parabolic-parabolic-elliptic chemotaxis system with singular sensitivity and Lotka-Volterra competitive kinetics, $ begin{equation} begin{cases} u_t = Delta u-chi_1 nablacdot (frac{u}{w} nabla w)+u(a_1-b_1u-c_1v) , quad &xin Omegacr v_t = Delta v-chi_2 nablacdot (frac{v}{w} nabla w)+v(a_2-b_2v-c_2u), quad &xin Omegacr 0 = Delta w-mu w +nu u+ lambda v, quad &xin Omega cr frac{partial u}{partial n} = frac{partial v}{partial n} = frac{partial w}{partial n} = 0, quad &xinpartialOmega, end{cases} end{equation}~~~~(1) $ where $ Omega subset mathbb{R}^N $ is a bounded smooth domain, and $ chi_i $, $ a_i $, $ b_i $, $ c_i $ ($ i = 1, 2 $) and $ mu, , nu, , lambda $ are positive constants. In [25], among others, we proved that for any given nonnegative initial data $ u_0, v_0in C^0(barOmega) $ with $ u_0+v_0not equiv 0 $, (1) has a unique globally defined classical solution $ (u(t, x;u_0, v_0), v(t, x;u_0, v_0), w(t, x;u_0, v_0)) $ with $ u(0, x;u_0, v_0) = u_0(x) $ and $ v(0, x;u_0, v_0) = v_0(x) $ in any space dimensional setting with any positive constants $ chi_i, a_i, b_i, c_i $ ($ i = 1, 2 $) and $ mu, nu, lambda $. In this paper, we assume that the competition in (1) is weak in the sense that $ frac{c_1}{b_2}<frac{a_1}{a_2}, quad frac{c_2}{b_1}<frac{a_2}{a_1}. $ Then (1) has a unique positive constant solution $ (u^*, v^*, w^*) $, where $ u^* = frac{a_1b_2-c_1a_2}{b_1b_2-c_1c_2}, quad v^* = frac{b_1a_2-a_1c_2}{b_1b_2-c_1c_2}, quad w^* = frac{nu}{mu}u^*+frac{lambda}{mu} v^*. $ We obtain some explicit conditions on $ chi_1, chi_2 $ which ensure that the positive constant solution $ (u^*, v^*, w^*) $ is globally stable, that is, for any given nonnegative initial data $ u_0, v_0in C^0(barOmega) $ with $ u_0not equiv 0 $ and $ v_0not equiv 0 $, $ limlimits_{ttoinfty}Big(|u(t, cdot;u_0, v_0)-u^*|_infty +|v(t, cdot;u_0, v_0)-v^*|_infty+|w(t, cdot;u_0, v_0)-w^*|_inftyBig) = 0. $","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"22 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":"135319721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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