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In ricordo di Salvatore Rionero. Intervista a Tommaso Ruggeri 纪念萨尔瓦多-里昂内罗采访托马索-鲁杰里
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-12-21 DOI: 10.1007/s11587-023-00841-6
G. Arnone
{"title":"In ricordo di Salvatore Rionero. Intervista a Tommaso Ruggeri","authors":"G. Arnone","doi":"10.1007/s11587-023-00841-6","DOIUrl":"https://doi.org/10.1007/s11587-023-00841-6","url":null,"abstract":"","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138950798","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 co-maximal subgroup graph of a group-II 关于第 II 组的共最大子群图
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-12-20 DOI: 10.1007/s11587-023-00836-3
Angsuman Das, Manideepa Saha
{"title":"On co-maximal subgroup graph of a group-II","authors":"Angsuman Das, Manideepa Saha","doi":"10.1007/s11587-023-00836-3","DOIUrl":"https://doi.org/10.1007/s11587-023-00836-3","url":null,"abstract":"<p>In this sequel paper, we continue our study on co-maximal subgroup graph <span>(Gamma (G))</span> of a group <i>G</i>. We discuss some further results on connectedness and when <span>(Gamma (G))</span> is edgeless. Moreover, we study the independence number, chromatic number and perfectness of <span>(Gamma (G))</span>. In the process, we show that if the independence number is suitably small, then the underlying group is solvable. We also classify co-maximal subgroup graphs of certain groups upto isomorphism.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138819383","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
Finite groups with two kernels of nonlinear irreducible characters 具有两个非线性不可还原字核的有限群
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-12-20 DOI: 10.1007/s11587-023-00834-5
Qingyun Meng, Yali Li
{"title":"Finite groups with two kernels of nonlinear irreducible characters","authors":"Qingyun Meng, Yali Li","doi":"10.1007/s11587-023-00834-5","DOIUrl":"https://doi.org/10.1007/s11587-023-00834-5","url":null,"abstract":"<p>In this paper, we consider finite groups with few kernels of nonlinear irreducible characters and classify finite solvable groups with two kernels of nonlinear irreducible characters. Nonsolvable groups with this property are also investigated.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138819249","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 validity of the Fourier law in a Resonant Tunneling Diode 关于共振隧道二极管中傅立叶定律的有效性
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-12-18 DOI: 10.1007/s11587-023-00837-2
Orazio Muscato
{"title":"On the validity of the Fourier law in a Resonant Tunneling Diode","authors":"Orazio Muscato","doi":"10.1007/s11587-023-00837-2","DOIUrl":"https://doi.org/10.1007/s11587-023-00837-2","url":null,"abstract":"<p>By using Monte Carlo simulations of the Wigner–Boltzmann transport equation, the validity of a smooth quantum hydrodynamic model has been investigated in a GaAs Resonant Tunneling Diode. The common approximation of the heat flux by Fourier’s law is shown to differ substantially from the actual heat flux.\u0000</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138745480","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 note on Thompson problem 关于汤普森问题的说明
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-12-16 DOI: 10.1007/s11587-023-00835-4
Yu Li, Wujie Shi
{"title":"A note on Thompson problem","authors":"Yu Li, Wujie Shi","doi":"10.1007/s11587-023-00835-4","DOIUrl":"https://doi.org/10.1007/s11587-023-00835-4","url":null,"abstract":"<p>In this paper, we prove that if two finite groups <i>G</i> and <i>H</i> have isomorphic Burnside rings, then <i>G</i> and <i>H</i> are the same order type groups, and give an example to show that the Burnside rings of the same order type groups are not necessarily isomorphic. This result is related to the Thompson Problem which was raised in 1987.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138691175","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 weak- $$L^{p}$$ Prodi–Serrin type regularity criterion for the micropolar fluid equations in terms of the pressure 用压力表示的微极性流体方程的弱$L^{p}$$Prodi-Serrin 型正则准则
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-12-15 DOI: 10.1007/s11587-023-00829-2
Ines Ben Omrane, Mourad Ben Slimane, Sadek Gala, Maria Alessandra Ragusa
{"title":"A weak- $$L^{p}$$ Prodi–Serrin type regularity criterion for the micropolar fluid equations in terms of the pressure","authors":"Ines Ben Omrane, Mourad Ben Slimane, Sadek Gala, Maria Alessandra Ragusa","doi":"10.1007/s11587-023-00829-2","DOIUrl":"https://doi.org/10.1007/s11587-023-00829-2","url":null,"abstract":"<p>This paper is devoted to investigating regularity criteria for the 3D micropolar fluid equations in terms of pressure in weak Lebesgue space. More precisely, we mainly proved that the weak solution is regular on (0, <i>T</i>] provided that either the norm <span>(left| pi right| _{L^{alpha ,infty }(0,T;L^{beta ,infty }(mathbb {R}^{3}))})</span> with <span>(frac{2}{alpha }+ frac{3}{beta }=2)</span> and <span>(frac{3}{2}&lt;beta &lt;infty )</span> or <span>(left| nabla pi right| _{L^{alpha ,infty }(0,T;L^{beta ,infty }(mathbb {R} ^{3}))})</span> with <span>(frac{2}{alpha }+frac{3}{beta }=3)</span> and <span>(1&lt;beta &lt;infty )</span> is sufficiently small.\u0000</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138691173","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
Energy decay of wave equations with infinite memory effects versus supercritical frictional dampings 具有无限记忆效应与超临界摩擦阻尼的波方程能量衰减
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-12-11 DOI: 10.1007/s11587-023-00832-7
Menglan Liao
{"title":"Energy decay of wave equations with infinite memory effects versus supercritical frictional dampings","authors":"Menglan Liao","doi":"10.1007/s11587-023-00832-7","DOIUrl":"https://doi.org/10.1007/s11587-023-00832-7","url":null,"abstract":"<p>In this paper, a class of damped viscoelastic wave equations </p><span>$$begin{aligned} u_{tt}-k(0)Delta u-int _0^infty k'(s)Delta u(t-s)ds+|u_t|^{m-1}u_t=|u|^{p-1}u end{aligned}$$</span><p>is considered in a bounded domain <span>(Omega subset {mathbb {R}}^3)</span>. Uniform energy decay was discussed which depends on the relaxation function <span>(-k'(s))</span> in the previous work (Guo et al., Z Angew Math Phys 69:65, 2018) for <span>(1le mle 5)</span>. Depending on a key integral inequality obtained by Martinez (ESAIM Control Optim Calc Var 4:419–444, 1999), we establish the decay estimate of the total energy for <span>(m&gt;5)</span>. Our results improve and complement the previous one. As an example, a logarithmic energy decay is also presented.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138565956","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 hyperbolic reaction–diffusion model of chronic wasting disease 慢性消耗性疾病的双曲线反应-扩散模型
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-12-09 DOI: 10.1007/s11587-023-00831-8
Elvira Barbera, Annamaria Pollino
{"title":"A hyperbolic reaction–diffusion model of chronic wasting disease","authors":"Elvira Barbera, Annamaria Pollino","doi":"10.1007/s11587-023-00831-8","DOIUrl":"https://doi.org/10.1007/s11587-023-00831-8","url":null,"abstract":"<p>A hyperbolic reaction–diffusion model is developed in the framework of Extended Thermodynamics in order to describe the spatio-temporal dynamics of populations afflicted by chronic wasting diseases. The hyperbolic structure of the system guarantees that the wave processes occur at finite velocity, so that the paradox of instantaneous diffusion, typical of parabolic systems, is removed. The character of steady states, together with the Hopf bifurcation, are investigated through linear stability analysis. The model is integrated numerically to valuate the behavior of the populations. Finally, the propagation of acceleration waves is analyzed.\u0000</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138563906","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
Nilpotent groups whose difference graphs have positive genus 差分图有正格的幂零群
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-12-02 DOI: 10.1007/s11587-023-00830-9
Parveen, Jitender Kumar
{"title":"Nilpotent groups whose difference graphs have positive genus","authors":"Parveen, Jitender Kumar","doi":"10.1007/s11587-023-00830-9","DOIUrl":"https://doi.org/10.1007/s11587-023-00830-9","url":null,"abstract":"<p>The power graph of a finite group <i>G</i> is a simple undirected graph with vertex set <i>G</i> and two vertices are adjacent if one is a power of the other. The enhanced power graph of a finite group <i>G</i> is a simple undirected graph whose vertex set is the group <i>G</i> and two vertices <i>a</i>, <i>b</i> are adjacent if there exists <span>(c in G)</span> such that both <i>a</i> and <i>b</i> are powers of <i>c</i>. In this paper, we study the difference graph <span>(mathcal {D}(G))</span> of a finite group <i>G</i> which is the difference of the enhanced power graph and the power graph of <i>G</i> with all isolated vertices removed. We characterize all the finite nilpotent groups <i>G</i> such that the genus (or cross-cap) of the difference graph <span>(mathcal {D}(G))</span> is at most 2.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138514792","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
Some notes on the algebraic structure of linear recurrent sequences 关于线性循环序列代数结构的一些注意事项
IF 1.2 4区 数学
Ricerche di Matematica Pub Date : 2023-11-27 DOI: 10.1007/s11587-023-00826-5
Gessica Alecci, Stefano Barbero, Nadir Murru
{"title":"Some notes on the algebraic structure of linear recurrent sequences","authors":"Gessica Alecci, Stefano Barbero, Nadir Murru","doi":"10.1007/s11587-023-00826-5","DOIUrl":"https://doi.org/10.1007/s11587-023-00826-5","url":null,"abstract":"<p>Several operations can be defined on the set of all linear recurrent sequences, such as the binomial convolution (Hurwitz product) or the multinomial convolution (Newton product). Using elementary techniques, we prove that this set equipped with the termwise sum and the aforementioned products is an <i>R</i>-algebra, given any commutative ring <i>R</i> with identity. Moreover, we provide explicitly a characteristic polynomial of the Hurwitz product and Newton product of any two linear recurrent sequences. Finally, we also investigate whether these <i>R</i>-algebras are isomorphic, considering also the <i>R</i>-algebras obtained using the Hadamard product and the convolution product.\u0000</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138514793","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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