发布求助
文献互助 智能选刊 最新文献

Kinetic and Related Models最新文献

筛选
英文 中文
Dissipative solutions to Hamiltonian systems 哈密顿系统的耗散解
IF 1 4区 数学
Kinetic and Related Models Pub Date : 2023-01-01 DOI: 10.3934/krm.2023019
S. Bianchini, G. M. Leccese
{"title":"Dissipative solutions to Hamiltonian systems","authors":"S. Bianchini, G. M. Leccese","doi":"10.3934/krm.2023019","DOIUrl":"https://doi.org/10.3934/krm.2023019","url":null,"abstract":"","PeriodicalId":49942,"journal":{"name":"Kinetic and Related Models","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82728153","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
Fractional diffusion limit of a linear Boltzmann model with reflective boundaries in a half-space 半空间中具有反射边界的线性玻尔兹曼模型的分数扩散极限
4区 数学
Kinetic and Related Models Pub Date : 2023-01-01 DOI: 10.3934/krm.2023033
Ludovic Cesbron
{"title":"Fractional diffusion limit of a linear Boltzmann model with reflective boundaries in a half-space","authors":"Ludovic Cesbron","doi":"10.3934/krm.2023033","DOIUrl":"https://doi.org/10.3934/krm.2023033","url":null,"abstract":"We investigate the fractional diffusion limit of a Linear Boltzmann equation with heavy-tailed velocity equilibrium in a half-space with Maxwell boundary conditions. We derive a new confined version of the fractional Laplacian in a spatially bounded domain and show uniqueness of weak solution to the associated non-local diffusion equation.","PeriodicalId":49942,"journal":{"name":"Kinetic and Related Models","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":"135784802","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: 3
A mixed Boltzmann–BGK model for inert gas mixtures 惰性气体混合物的混合玻尔兹曼- bgk模型
4区 数学
Kinetic and Related Models Pub Date : 2023-01-01 DOI: 10.3934/krm.2023037
Marzia Bisi, Maria Groppi, Enrico Lucchin, Giorgio Martalò
{"title":"A mixed Boltzmann–BGK model for inert gas mixtures","authors":"Marzia Bisi, Maria Groppi, Enrico Lucchin, Giorgio Martalò","doi":"10.3934/krm.2023037","DOIUrl":"https://doi.org/10.3934/krm.2023037","url":null,"abstract":"We propose a mixed Boltzmann–BGK model for mixtures of monatomic gases, where some kinds of collisions are described by bi–species Boltzmann operators and the others by the binary BGK terms given in [Bobylev et al., Kinetic and Related Models 11 (2018)], that is the relaxation model for mixtures with the closest structure to the Boltzmann one. At first, we assume that collisions occurring within the same species (intra-species) are modelled by Boltzmann operators, while interactions between different constituents (inter-species) are described by BGK terms. This option allows us to rigorously derive hydrodynamic equations not only in the classical collision dominated regime, but also in situations with intra–species collisions playing the dominant role (as in mixtures with very disparate particle masses). Then, we present a general form of this mixed Boltzmann–BGK model, characterized by further parameters allowing us to select which binary interactions have to be described by Boltzmann integrals or by BGK operators. We prove that this model preserves conservations of global momentum and energy, positivity of all temperatures and the validity of Boltzmann H-theorem, allowing us to conclude that the unique admissible equilibrium state is the expected Maxwellian distribution with all species sharing a common mean velocity and a common temperature.","PeriodicalId":49942,"journal":{"name":"Kinetic and Related Models","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":"135319258","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
An internal state kinetic model for chemically reacting mixtures of monatomic and polyatomic gases 单原子和多原子气体混合化学反应的内态动力学模型
IF 1 4区 数学
Kinetic and Related Models Pub Date : 2023-01-01 DOI: 10.3934/krm.2023023
M. Bisi, Thomas Borsoni, M. Groppi
{"title":"An internal state kinetic model for chemically reacting mixtures of monatomic and polyatomic gases","authors":"M. Bisi, Thomas Borsoni, M. Groppi","doi":"10.3934/krm.2023023","DOIUrl":"https://doi.org/10.3934/krm.2023023","url":null,"abstract":"","PeriodicalId":49942,"journal":{"name":"Kinetic and Related Models","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74945612","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
Numerical methods and macroscopic models of magnetically confined low temperature plasmas 磁约束低温等离子体的数值方法和宏观模型
IF 1 4区 数学
Kinetic and Related Models Pub Date : 2023-01-01 DOI: 10.3934/krm.2023002
F. Deluzet, J. Narski, M. Ndiaye, G. Hagelaar, J. Boeuf
{"title":"Numerical methods and macroscopic models of magnetically confined low temperature plasmas","authors":"F. Deluzet, J. Narski, M. Ndiaye, G. Hagelaar, J. Boeuf","doi":"10.3934/krm.2023002","DOIUrl":"https://doi.org/10.3934/krm.2023002","url":null,"abstract":"","PeriodicalId":49942,"journal":{"name":"Kinetic and Related Models","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73022787","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
A kinetic theory approach to model pedestrian social groups behavior in bounded domain 有界区域行人社会群体行为的动力学模型
IF 1 4区 数学
Kinetic and Related Models Pub Date : 2023-01-01 DOI: 10.3934/krm.2023017
Nouamane Bakhdil, Abdelghani El Mousaoui, A. Hakim
{"title":"A kinetic theory approach to model pedestrian social groups behavior in bounded domain","authors":"Nouamane Bakhdil, Abdelghani El Mousaoui, A. Hakim","doi":"10.3934/krm.2023017","DOIUrl":"https://doi.org/10.3934/krm.2023017","url":null,"abstract":"","PeriodicalId":49942,"journal":{"name":"Kinetic and Related Models","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87730383","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
Stability of selfsimilar solutions to the fragmentation equation with polynomial daughter fragments distribution 具有多项式子碎片分布的破碎方程自相似解的稳定性
IF 1 4区 数学
Kinetic and Related Models Pub Date : 2022-12-27 DOI: 10.3934/krm.2023016
M. Fontelos
{"title":"Stability of selfsimilar solutions to the fragmentation equation with polynomial daughter fragments distribution","authors":"M. Fontelos","doi":"10.3934/krm.2023016","DOIUrl":"https://doi.org/10.3934/krm.2023016","url":null,"abstract":"We study fragmentation equations with power-law fragmentation rates and polynomial daughter fragments distribution function $p(s)$. The corresponding selfsimillar solutions are analysed and their exponentially decaying asymptotic behaviour and $C^{infty }$ regularity deduced. Stability of selfsimilar solutions (under smooth exponentially decaying perturbations), with sharp exponential decay rates in time are proved, as well as $C^{infty }$ regularity of solutions for $t>0$. The results are based on explicit expansion in terms of generalized Laguerre polynomials and the analysis of such expansions. For perturbations with power-law decay at infinity stability is also proved. Finally, we consider real analytic $p(s)$.","PeriodicalId":49942,"journal":{"name":"Kinetic and Related Models","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89062840","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 entropic property of the Ellipsoidal Statistical model with the prandtl number below 2/3 普朗特数小于2/3的椭球统计模型的熵性质
IF 1 4区 数学
Kinetic and Related Models Pub Date : 2022-12-27 DOI: 10.3934/krm.2020041
S. Takata, Masanari Hattori, Takumu Miyauchi
{"title":"On the entropic property of the Ellipsoidal Statistical model with the prandtl number below 2/3","authors":"S. Takata, Masanari Hattori, Takumu Miyauchi","doi":"10.3934/krm.2020041","DOIUrl":"https://doi.org/10.3934/krm.2020041","url":null,"abstract":"Entropic property of the Ellipsoidal Statistical model with the Prandtl number Pr below 2/3 is discussed. Although 2/3 is the lower bound of Pr for the H theorem to hold unconditionally, it is shown that the theorem still holds even for begin{document}$ mathrm{Pr} , provided that anisotropy of stress tensor satisfies a certain criterion. The practical tolerance of that criterion is assessed numerically by the strong normal shock wave and the Couette flow problems. A couple of moving plate tests are also conducted.","PeriodicalId":49942,"journal":{"name":"Kinetic and Related Models","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81973939","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: 1
$ L^2 $-stability near equilibrium for the 4 waves kinetic equation $ L^2 $-四波动力学方程的近平衡稳定性
IF 1 4区 数学
Kinetic and Related Models Pub Date : 2022-10-20 DOI: 10.3934/krm.2023031
A. Menegaki
{"title":"$ L^2 $-stability near equilibrium for the 4 waves kinetic equation","authors":"A. Menegaki","doi":"10.3934/krm.2023031","DOIUrl":"https://doi.org/10.3934/krm.2023031","url":null,"abstract":"We consider the four waves spatial homogeneous kinetic equation arising in wave turbulence theory. We study the long-time behaviour and existence of solutions around the Rayleigh-Jeans equilibrium solutions. For cut-off'd frequencies, we show that for dispersion relations weakly perturbed around the quadratic case, the linearized operator around the Rayleigh-Jeans equilibria is coercive. We then pass to the fully nonlinear operator, showing an $L^2$ - stability for initial data close to Rayleigh-Jeans.","PeriodicalId":49942,"journal":{"name":"Kinetic and Related Models","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72508804","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: 1
Backward problem for the 1D ionic Vlasov-Poisson equation 一维离子Vlasov-Poisson方程的反求问题
IF 1 4区 数学
Kinetic and Related Models Pub Date : 2022-10-12 DOI: 10.3934/krm.2023024
A. Gagnebin
{"title":"Backward problem for the 1D ionic Vlasov-Poisson equation","authors":"A. Gagnebin","doi":"10.3934/krm.2023024","DOIUrl":"https://doi.org/10.3934/krm.2023024","url":null,"abstract":"In this paper, we study the backward problem for the one-dimensional Vlasov-Poisson system with massless electrons, and we show the Landau damping by fixing the asymptotic behaviour of our solution.","PeriodicalId":49942,"journal":{"name":"Kinetic and Related Models","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75556489","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: 1
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信