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Temporal to spatial instability in a flow system: a comparison 流动系统的时空不稳定性:比较
4区 数学
Ricerche di Matematica Pub Date : 2023-10-03 DOI: 10.1007/s11587-023-00820-x
Antonio Barletta
{"title":"Temporal to spatial instability in a flow system: a comparison","authors":"Antonio Barletta","doi":"10.1007/s11587-023-00820-x","DOIUrl":"https://doi.org/10.1007/s11587-023-00820-x","url":null,"abstract":"Abstract The definitions of temporal instability and of spatial instability in a flow system are comparatively surveyed. The simple model of one-dimensional Burgers’ flow is taken as the scenario where such different conceptions of instability are described. The temporal analysis of instability stems from Lyapunov’s theory, while the spatial analysis of instability interchanges time and space in defining the evolution variable. Thus, the growth rate parameter for temporally unstable perturbations of a basic flow state is to be replaced by a spatial growth rate when a coordinate assumes the role of evolution variable. Finally, the idea of spatial instability is applied to a Rayleigh-Bénard system given by a fluid-saturated horizontal porous layer with an anisotropic permeability and impermeable boundaries kept at different uniform temperatures.","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135696078","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
Hydrodynamic regime and cold plasmas hit by short laser pulses 短激光脉冲冲击下的流体动力学和冷等离子体
4区 数学
Ricerche di Matematica Pub Date : 2023-10-01 DOI: 10.1007/s11587-023-00821-w
Gaetano Fiore, Monica De Angelis, Renato Fedele, Gabriele Guerriero, Dušan Jovanović
{"title":"Hydrodynamic regime and cold plasmas hit by short laser pulses","authors":"Gaetano Fiore, Monica De Angelis, Renato Fedele, Gabriele Guerriero, Dušan Jovanović","doi":"10.1007/s11587-023-00821-w","DOIUrl":"https://doi.org/10.1007/s11587-023-00821-w","url":null,"abstract":"We briefly report and elaborate on some conditions allowing a hydrodynamic description of the impact of a very short and arbitrarily intense laser pulse onto a cold plasma, as well as the localization of the first wave-breaking due to the plasma inhomogeneity. We use a recently developed fully relativistic plane model whereby we reduce the system of the Lorentz-Maxwell and continuity PDEs into a 1-parameter family of decoupled systems of non-autonomous Hamilton equations in dimension 1, with the light-like coordinate $xi=ct!-!z$ replacing time $t$ as an independent variable. Apriori estimates on the Jacobian $hat J$ of the change from Lagrangian to Eulerian coordinates in terms of the input data (initial density and pulse profile) are obtained applying Liapunov direct method to an associated family of pairs of ODEs; wave-breaking is pinpointed by the inequality $hat Jle 0$. These results may help in drastically simplifying the study of extreme acceleration mechanisms of electrons, which have very important applications.","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135407435","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
Egyptian integral domains 埃及整域
4区 数学
Ricerche di Matematica Pub Date : 2023-09-28 DOI: 10.1007/s11587-023-00813-w
Neil Epstein
{"title":"Egyptian integral domains","authors":"Neil Epstein","doi":"10.1007/s11587-023-00813-w","DOIUrl":"https://doi.org/10.1007/s11587-023-00813-w","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135386949","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: 2
The impact of the solubilizer of an element on the structure of a finite group 一种元素的增溶剂对有限基团结构的影响
4区 数学
Ricerche di Matematica Pub Date : 2023-09-24 DOI: 10.1007/s11587-023-00817-6
Hamid Mousavi, Mina Poozesh, Yousef Zamani
{"title":"The impact of the solubilizer of an element on the structure of a finite group","authors":"Hamid Mousavi, Mina Poozesh, Yousef Zamani","doi":"10.1007/s11587-023-00817-6","DOIUrl":"https://doi.org/10.1007/s11587-023-00817-6","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135926432","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: 2
Spectral and Energy–Lyapunov stability of streamwise Couette–Poiseuille and spanwise Poiseuille base flows 沿流库埃-泊泽维尔和沿展向泊泽维尔基流的谱和能量-李雅普诺夫稳定性
4区 数学
Ricerche di Matematica Pub Date : 2023-09-16 DOI: 10.1007/s11587-023-00815-8
Andrea Giacobbe, Carla Perrone
{"title":"Spectral and Energy–Lyapunov stability of streamwise Couette–Poiseuille and spanwise Poiseuille base flows","authors":"Andrea Giacobbe, Carla Perrone","doi":"10.1007/s11587-023-00815-8","DOIUrl":"https://doi.org/10.1007/s11587-023-00815-8","url":null,"abstract":"Abstract When a fluid fills an infinite layer between two rigid plates in relative motion, and it is simultaneously subject to a gradient of pressure not parallel to the motion, the base flow is a combination of Couette–Poiseuille in the direction along the boundaries’ relative motion, but it also possess a Poiseuille component in the transverse direction. For this reason the linearised equations include all variables x , y , z , and not only explicitly two variables x , z as it typically happens in the literature. For convenience, we indicate as streamwise the direction of the relative motions of the plates, and spanwise the orthogonal direction. We use Chebyshev collocation method to investigate the monotonic behaviour of the energy along perturbations of general streamwise Couette–Poiseuille plus spanwise Poiseuille base flow, thus obtaining energy-critical Reynolds numbers depending on two parameters. We finally compute the spectrum of the linearisation at such base flows, and hence determine spectrum-critical Reynolds numbers depending on the two parameters. The choice of convex combinations of Couette and Poiseuille flows along the streamwise direction, and spanwise Poiseuille flow, affects the value of the energy-critical Reynolds and wave numbers in interesting ways. Also the spectrum-critical Reynolds and wave numbers depend on the type of base flow in peculiar ways. These dependencies are not described in the literature.","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135304632","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
Excitable FitzHugh-Nagumo model with cross-diffusion: long-range activation instabilities 具有交叉扩散的可激FitzHugh-Nagumo模型:远程激活不稳定性
4区 数学
Ricerche di Matematica Pub Date : 2023-09-12 DOI: 10.1007/s11587-023-00814-9
G. Gambino, M. C. Lombardo, R. Rizzo, M. Sammartino
{"title":"Excitable FitzHugh-Nagumo model with cross-diffusion: long-range activation instabilities","authors":"G. Gambino, M. C. Lombardo, R. Rizzo, M. Sammartino","doi":"10.1007/s11587-023-00814-9","DOIUrl":"https://doi.org/10.1007/s11587-023-00814-9","url":null,"abstract":"Abstract In this paper, we shall study a spatially extended version of the FitzHugh-Nagumo model, where one describes the motion of the species through cross-diffusion. The motivation comes from modeling biological species where reciprocal interaction influences spatial movement. We shall focus our analysis on the excitable regime of the system. In this case, we shall see how cross-diffusion terms can destabilize uniform equilibrium, allowing for the formation of close-to-equilibrium patterns; the species are out-of-phase spatially distributed, namely high concentration areas of one species correspond to a low density of the other (cross-Turing patterns). Moreover, depending on the magnitude of the inhibitor’s cross-diffusion, the pattern’s development can proceed in either case of the inhibitor/activator diffusivity ratio being higher or smaller than unity. This allows for spatial segregation of the species in both cases of short-range activation/long-range inhibition or long-range activation/short-range inhibition.","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"467 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135830770","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
Excitable FitzHugh-Nagumo model with cross-diffusion: close and far-from-equilibrium coherent structures 交叉扩散的可激FitzHugh-Nagumo模型:接近和远离平衡的相干结构
4区 数学
Ricerche di Matematica Pub Date : 2023-09-11 DOI: 10.1007/s11587-023-00816-7
G. Gambino, M. C. Lombardo, R. Rizzo, M. Sammartino
{"title":"Excitable FitzHugh-Nagumo model with cross-diffusion: close and far-from-equilibrium coherent structures","authors":"G. Gambino, M. C. Lombardo, R. Rizzo, M. Sammartino","doi":"10.1007/s11587-023-00816-7","DOIUrl":"https://doi.org/10.1007/s11587-023-00816-7","url":null,"abstract":"Abstract In this paper, we shall study the formation of stationary patterns for a reaction-diffusion system in which the FitzHugh-Nagumo (FHN) kinetics, in its excitable regime, is coupled to linear cross-diffusion terms. In (Gambino et al. in Excitable Fitzhugh-Nagumo model with cross-diffusion: long-range activation instabilities, 2023), we proved that the model supports the emergence of cross-Turing patterns, i.e., close-to-equilibrium structures occurring as an effect of cross-diffusion. Here, we shall construct the cross-Turing patterns close to equilibrium on 1-D and 2-D rectangular domains. Through this analysis, we shall show that the species are out-of-phase spatially distributed and derive the amplitude equations that govern the pattern dynamics close to criticality. Moreover, we shall classify the bifurcation in the parameter space, distinguishing between super-and sub-critical transitions. In the final part of the paper, we shall numerically investigate the impact of the cross-diffusion terms on large-amplitude pulse-like solutions existing outside the cross-Turing regime, showing their emergence also in the case of lateral activation and short-range inhibition .","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135935276","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
A note on the Caristi fixed point theorem 关于Caristi不动点定理的注解
4区 数学
Ricerche di Matematica Pub Date : 2023-09-11 DOI: 10.1007/s11587-023-00812-x
Oleg Zubelevich
{"title":"A note on the Caristi fixed point theorem","authors":"Oleg Zubelevich","doi":"10.1007/s11587-023-00812-x","DOIUrl":"https://doi.org/10.1007/s11587-023-00812-x","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135939160","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
Compound transmuted family of distributions: properties and applications 复合变形分布族：性质和应用
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-08-28 DOI: 10.1007/s11587-023-00808-7
Coşkun Kuş, K. Karakaya, Caner Tanış, Y. Akdoğan, Sümeyra Sert, Fahreddin Kalkan
{"title":"Compound transmuted family of distributions: properties and applications","authors":"Coşkun Kuş, K. Karakaya, Caner Tanış, Y. Akdoğan, Sümeyra Sert, Fahreddin Kalkan","doi":"10.1007/s11587-023-00808-7","DOIUrl":"https://doi.org/10.1007/s11587-023-00808-7","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47464398","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
Throughflow effect on bi-disperse convection 双分散对流的通流效应
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-08-28 DOI: 10.1007/s11587-023-00811-y
F. Capone, R. De Luca, G. Massa
{"title":"Throughflow effect on bi-disperse convection","authors":"F. Capone, R. De Luca, G. Massa","doi":"10.1007/s11587-023-00811-y","DOIUrl":"https://doi.org/10.1007/s11587-023-00811-y","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43927608","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
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