{"title":"Global strong/classical solutions to the one-dimensional compressible Navier-Stokes-Allen-Cahn system with density-dependent viscosity","authors":"Zhengzheng Chen, Ran Duan, Lin He, Yeping Li","doi":"10.3934/dcdsb.2023127","DOIUrl":"https://doi.org/10.3934/dcdsb.2023127","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88687322","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}
{"title":"Local discontinuous Galerkin schemes for an ultrasonic propagation equation with fractional attenuation","authors":"Can Li, Min-Min Li, Z. Fellah","doi":"10.3934/dcdsb.2023063","DOIUrl":"https://doi.org/10.3934/dcdsb.2023063","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72687035","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}
{"title":"Dynamics of a plant-herbivore system with Ricker plant growth and the strong Allee effects on plant population","authors":"E. Beso, S. Kalabušić, E. Pilav","doi":"10.3934/dcdsb.2023108","DOIUrl":"https://doi.org/10.3934/dcdsb.2023108","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87666534","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}
{"title":"Analytic Gelfand-Shilov smoothing effect of the spatially homogeneous Landau equation with hard potentials","authors":"Hao-Guang Li, Chao-Jiang Xu","doi":"10.3934/dcdsb.2023157","DOIUrl":"https://doi.org/10.3934/dcdsb.2023157","url":null,"abstract":"In this work, we give an improved new argument to prove that the solution of the Cauchy problem for the nonlinear spatially homogeneous Landau equation with hard potentials with $ L^2(mathbb{R}^3) $ initial datum enjoys a analytic Gelfand-Shilov regularizing effect in the class $ S^1_1(mathbb{R}^3) $, the evolution of analytic radius is similar to the heat equation.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135496192","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}
{"title":"Oscillations and coexistence generated by discrete delays in a two-species competition model","authors":"Xiaolan Wang, Chanaka Kottegoda, Chunhua Shan, Qihua Huang","doi":"10.3934/dcdsb.2023156","DOIUrl":"https://doi.org/10.3934/dcdsb.2023156","url":null,"abstract":"One of the shortcomings of the classical Lotka-Volterra competition model is that both species' births are assumed to be instantaneous, whereas developmental and maturation processes may cause time delays. We extend the Lotka-Volterra competition model to a delayed model based on a single species delayed model in this paper. The effects of two discrete delays on competition outcomes are investigated. Our theoretical and numerical results show that delays can cause the loss of stability of equilibria and the emergence of periodic solutions (i.e., population density oscillations) via Hopf bifurcation, lead to exclusion by changing the stability of coexistence equilibrium, and boost coexistence even if the coexistence equilibrium point does not exist.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135595503","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}
{"title":"Quantized vortex dynamics of the nonlinear wave equation on the torus","authors":"Yongxing Zhu","doi":"10.3934/dcdsb.2023188","DOIUrl":"https://doi.org/10.3934/dcdsb.2023188","url":null,"abstract":"We rigorously derive the reduced dynamical law for quantized vortex dynamics of the nonlinear wave equation on the torus when the core size of vortex $ varepsilonto 0 $. It is proved that the reduced dynamical law is a system consisting of second-order nonlinear ordinary differential equations driven by the renormalized energy on the torus, and the initial data of the reduced dynamical law is determined by the positions of vortices and the limit momentum of the solution of the nonlinear wave equation. We will also investigate the effect of the limit momentum on the vortex dynamics via numerical simulation.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135709286","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}
{"title":"Regularity of pullback random attractors and invariant sample measures for nonautonomous stochastic $ p $-Laplacian lattice systems","authors":"Jintao Wang, Weihao Jin","doi":"10.3934/dcdsb.2023136","DOIUrl":"https://doi.org/10.3934/dcdsb.2023136","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86023192","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}
{"title":"Emergent behaviors in the fractional Kuramoto model with general network topologies and its hybridization","authors":"Seung‐Yeal Ha, Jinwook Jung, Peter Kuchling","doi":"10.3934/dcdsb.2023139","DOIUrl":"https://doi.org/10.3934/dcdsb.2023139","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89305000","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}
{"title":"Positive steady-state solutions for a water-vegetation model with the infiltration feedback effect","authors":"G. Guo, Shihan Zhao, JingJing Wang, Yuanxiao Gao","doi":"10.3934/dcdsb.2023101","DOIUrl":"https://doi.org/10.3934/dcdsb.2023101","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87202911","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}