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The separation property for 2D Cahn-Hilliard equations: Local, nonlocal and fractional energy cases 二维Cahn-Hilliard方程的分离性质:局部、非局部和分数能量情况
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023010
C. Gal, A. Giorgini, M. Grasselli
{"title":"The separation property for 2D Cahn-Hilliard equations: Local, nonlocal and fractional energy cases","authors":"C. Gal, A. Giorgini, M. Grasselli","doi":"10.3934/dcds.2023010","DOIUrl":"https://doi.org/10.3934/dcds.2023010","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"3 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80401640","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: 21
Exponential and sub-exponential stability times for the derivative wave equation 导数波动方程的指数和次指数稳定时间
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023007
Yingte Sun, Siming Li, Xiaoqing Wu
{"title":"Exponential and sub-exponential stability times for the derivative wave equation","authors":"Yingte Sun, Siming Li, Xiaoqing Wu","doi":"10.3934/dcds.2023007","DOIUrl":"https://doi.org/10.3934/dcds.2023007","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"92 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85844352","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: 1
Nodal solutions for a supercritical problem with variable exponent and logarithmic nonlinearity 一类变指数和对数非线性超临界问题的节点解
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023093
Yinbin Deng, Xin-yan Zhang
{"title":"Nodal solutions for a supercritical problem with variable exponent and logarithmic nonlinearity","authors":"Yinbin Deng, Xin-yan Zhang","doi":"10.3934/dcds.2023093","DOIUrl":"https://doi.org/10.3934/dcds.2023093","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"42 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86599066","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
Symbolic dynamics for Anosov families 阿诺索夫家族的符号动力学
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023085
Chupeng Wu, Yunhua Zhou
{"title":"Symbolic dynamics for Anosov families","authors":"Chupeng Wu, Yunhua Zhou","doi":"10.3934/dcds.2023085","DOIUrl":"https://doi.org/10.3934/dcds.2023085","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"117 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79853572","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
On a Brezis-Oswald-type result for degenerate Kirchhoff problems 简并Kirchhoff问题的brezis - oswald型结果
3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023122
Stefano Biagi, Eugenio Vecchi
{"title":"On a Brezis-Oswald-type result for degenerate Kirchhoff problems","authors":"Stefano Biagi, Eugenio Vecchi","doi":"10.3934/dcds.2023122","DOIUrl":"https://doi.org/10.3934/dcds.2023122","url":null,"abstract":"In the present note we establish an almost-optimal solvability result for Kirchhoff-type problems of the following form$ begin{cases} -Mbig(|nabla u|^2_{L^2(Omega)}big)Delta u = f(x, u) & text{in } Omega , u geq 0, , unotequiv 0 & text{in } Omega , u = 0 & text{on } partial Omega . end{cases} $where $ f $ has sublinear growth and $ M $ is a non-decreasing map with $ M(0)geq 0 $. Our approach is purely variational, and the result we obtain is resemblant to the one established by Brezis and Oswald (Nonlinear Anal., 1986) for sublinear elliptic equations.","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"120 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":"135212665","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
Continuum-wise hyperbolic homeomorphisms on surfaces 曲面上的连续双曲同胚
3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023125
Rodrigo Arruda, Bernardo Carvalho, Alberto Sarmiento
{"title":"Continuum-wise hyperbolic homeomorphisms on surfaces","authors":"Rodrigo Arruda, Bernardo Carvalho, Alberto Sarmiento","doi":"10.3934/dcds.2023125","DOIUrl":"https://doi.org/10.3934/dcds.2023125","url":null,"abstract":"This paper discusses the dynamics of continuum-wise hyperbolic surface homeomorphisms. We prove that $cw_F$-hyperbolic surface homeomorphisms containing only a finite set of spines are $cw_2$-hyperbolic. In the case of $cw_3$-hyperbolic homeomorphisms we prove the finiteness of spines and, hence, that $cw_3$-hyperbolicity implies $cw_2$-hyperbolicity. In the proof, we adapt techniques of Hiraide [11] and Lewowicz [15] in the case of expansive surface homeomorphisms to prove that local stable/unstable continua of $cw_F$-hyperbolic homeomorphisms are continuous arcs. We also adapt techniques of Artigue, Pac'ifico and Vieitez [6] in the case of N-expansive surface homeomorphisms to prove that the existence of spines is strongly related to the existence of bi-asymptotic sectors and conclude that spines are necessarily isolated from other spines.","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","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":"134884812","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: 1
On a Hamiltonian regularization of scalar conservation laws 标量守恒定律的哈密顿正则化
3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023118
Billel Guelmame
{"title":"On a Hamiltonian regularization of scalar conservation laws","authors":"Billel Guelmame","doi":"10.3934/dcds.2023118","DOIUrl":"https://doi.org/10.3934/dcds.2023118","url":null,"abstract":"In this paper, we propose a Hamiltonian regularization of scalar conservation laws, which is parametrized by $ ell>0 $ and conserves an $ H^1 $ energy. We prove the existence of global weak solutions for this regularization. Furthermore, we demonstrate that as $ ell $ approaches zero, the unique entropy solution of the original scalar conservation law is recovered, providing justification for the regularization.This regularization belongs to a family of non-diffusive, non-dispersive regularizations that were initially developed for the shallow-water system and extended later to the Euler system. This paper represents a validation of this family of regularizations in the scalar case.","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"97 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":"135784800","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: 1
On the probability of positive finite-time Lyapunov exponents on strange nonchaotic attractors 奇异非混沌吸引子上有限时间Lyapunov正指数的概率
3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023132
Flavia Remo, Gabriel Fuhrmann, Tobias Jäger
{"title":"On the probability of positive finite-time Lyapunov exponents on strange nonchaotic attractors","authors":"Flavia Remo, Gabriel Fuhrmann, Tobias Jäger","doi":"10.3934/dcds.2023132","DOIUrl":"https://doi.org/10.3934/dcds.2023132","url":null,"abstract":"We study strange non-chaotic attractors in a class of quasiperiodically forced monotone interval maps known as pinched skew products. We prove that the probability of positive time-$ N $ Lyapunov exponents—with respect to the unique physical measure on the attractor—decays exponentially as $ Nto infty $. The motivation for this work comes from the study of finite-time Lyapunov exponents as possible early-warning signals of critical transitions in the context of forced dynamics.","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"233 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":"135505958","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: 1
Existence of traveling wave solutions in a singularly perturbed predator-prey equation with spatial diffusion 具有空间扩散的奇异摄动捕食者-猎物方程行波解的存在性
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023097
Zirui Zhu, Xingbo Liu
{"title":"Existence of traveling wave solutions in a singularly perturbed predator-prey equation with spatial diffusion","authors":"Zirui Zhu, Xingbo Liu","doi":"10.3934/dcds.2023097","DOIUrl":"https://doi.org/10.3934/dcds.2023097","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"31 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85665088","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
Coefficients of the Riemann map for the Mandelbrot set complement Mandelbrot集合补的Riemann映射的系数
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023091
Grzegorz Siudem, G. Swiatek
{"title":"Coefficients of the Riemann map for the Mandelbrot set complement","authors":"Grzegorz Siudem, G. Swiatek","doi":"10.3934/dcds.2023091","DOIUrl":"https://doi.org/10.3934/dcds.2023091","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"9 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84356666","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
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