{"title":"On the modelling of thermal convection in porous media through rate-type equations","authors":"Angelo Morro","doi":"10.1007/s11565-024-00492-x","DOIUrl":"10.1007/s11565-024-00492-x","url":null,"abstract":"<div><p>The paper investigates current models of flows in porous media from the viewpoint of the mixture theory. The constitutive equations are investigated for compressible, viscous, heat-conducting fluids subject to relaxation phenomena. The thermodynamic analysis is performed via the Clausius-Duhem inequality based directly on the peculiar fields of the mixture. The detailed analysis so developed involves the peculiar heat fluxes and stresses per se while the balance equations for energy and entropy of the whole body would involve also diffusion effects. Following the objectivity principle, the constitutive equations for stresses and heat fluxes are taken to be governed by objective rate equations.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 2","pages":"547 - 563"},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00492-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139779454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Horospherical 2-Fano varieties","authors":"Carolina Araujo, Ana-Maria Castravet","doi":"10.1007/s11565-024-00494-9","DOIUrl":"10.1007/s11565-024-00494-9","url":null,"abstract":"<div><p>We classify 2-Fano horospherical varieties with Picard number 1. We also review all the known examples of 2-Fano manifolds and investigate the relation between the 2-Fano condition and different notions of stability.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"643 - 653"},"PeriodicalIF":0.0,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Infinite-dimensional Gaussian change of variables’ formula","authors":"Claudio Asci","doi":"10.1007/s11565-024-00490-z","DOIUrl":"10.1007/s11565-024-00490-z","url":null,"abstract":"<div><p>In this paper, we study the Banach space <span>(ell _{infty })</span> of the bounded real sequences, and a measure <span>(N(a,Gamma ))</span> over <span>(left( textbf{R}^{infty },mathcal {B}^{infty }right) )</span> analogous to the finite-dimensional Gaussian law. The main result of our paper is a change of variables’ formula for the integration, with respect to <span>(N(a,Gamma ))</span>, of the measurable real functions on <span>(left( E_{infty },mathcal {B}^{infty }left( E_{infty }right) right) )</span>, where <span>(E_{infty })</span> is the separable Banach space of the convergent real sequences. This change of variables is given by some <span>(left( m,sigma right) )</span> functions, defined over a subset of <span>(E_{infty })</span>, with values on <span>(E_{infty })</span>, with properties that generalize the analogous ones of the finite-dimensional diffeomorphisms.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1217 - 1269"},"PeriodicalIF":0.0,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00490-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139863535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Multi-step methods for equations","authors":"Sunil Kumar, Janak Raj Sharma, Ioannis K. Argyros","doi":"10.1007/s11565-024-00489-6","DOIUrl":"10.1007/s11565-024-00489-6","url":null,"abstract":"<div><p>This study is about a comprehensive convergence analysis of higher-order Newton-type iterative methods within the framework of Banach spaces. The primary objective is to ascertain locally unique solutions for systems of nonlinear equations. These Newton-type methods are notable for their reliance only on first-order derivative calculations. However, their conventional convergence analysis relies on Taylor expansions, which inherently assume the existence of higher-order derivatives, which are not present on the methods. This dependency limits their practicality. To overcome this limitation, we develop both local and semi-local convergence analysis by imposing hypotheses solely on first-order derivatives that are used by the methods. In the local analysis, our primary focus is to establish convergence domain boundaries while simultaneously estimating error approximations for successive iterates. In the semi-local analysis, we provide sufficient conditions based on arbitrarily chosen initial approximations within a given domain, ensuring the convergence of iterative sequence to a specific solution within that domain. Furthermore, we claim uniqueness of the solution by providing the requisite criteria within the specified domain.Therefore, with these actions, the applicability of these methods is extended in the cases not covered earlier, and under weak conditions. The same technique can be employed to extend the utilization of other methods relying on inverses of linear operators along the same lines. Finally, we validate our theoretical deductions by applying them to real-world problems and presenting the corresponding test results.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1193 - 1215"},"PeriodicalIF":0.0,"publicationDate":"2024-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139867301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Counterexamples to the MMP for 1-foliations in positive characteristic","authors":"Fabio Bernasconi","doi":"10.1007/s11565-024-00488-7","DOIUrl":"10.1007/s11565-024-00488-7","url":null,"abstract":"<div><p>We show that many statements of the Minimal Model Program, including the cone theorem, the base point free theorem and the existence of Mori fibre spaces, fail for 1-foliated surface pairs <span>((X,mathcal {F}))</span> with canonical singularities in characteristic <span>(p>0)</span>.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"631 - 641"},"PeriodicalIF":0.0,"publicationDate":"2024-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11232358/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141564676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Auxiliary particle filtering with lookahead support for univariate state space models","authors":"Praveen B. Choppala","doi":"10.1007/s11565-024-00487-8","DOIUrl":"10.1007/s11565-024-00487-8","url":null,"abstract":"<div><p>An essential type of Bayesian recursive filters known as the sequential Monte Carlo (alias, the particle filter) is used to estimate hidden Markov target states from noisy sensor data. Utilising sensor data and a collection of weighted particles, the filter makes an approximation of the posterior probability density of the target state. These particles are made to recursively propagate in time and are then updated using the incoming sensor information. The auxiliary particle filter improves over the traditional particle filter by guiding particles into regions of importance of the probability density using a lookahead scheme. This facilitates in the use of fewer particles and improved accuracy. However, when the sensor observations are extremely informative and the state transition noise is strong, the filter suffers badly. This is because the high state transition noise causes the particles that are determined to be important by the lookahead step could guide themselves to unimportant regions of the posterior in the final sampling process. Recent improvements of the auxiliary particle filter explored better weighting strategies but the said problem has not been explored closely. This paper seeks to solve the problem by adopting an auxiliary lookahead technique with two predictive support points to estimate the particles that will be located in regions of high importance after final sampling. The proposed method is successfully tested using a nonlinear model using simulations.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 2","pages":"515 - 532"},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00487-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140471304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Strong Calabi dream Bott manifolds","authors":"Kento Fujita, Naoto Yotsutani","doi":"10.1007/s11565-023-00484-3","DOIUrl":"10.1007/s11565-023-00484-3","url":null,"abstract":"<div><p>We show that any strong Calabi dream Bott manifold is isomorphic to the products of projective lines.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"607 - 630"},"PeriodicalIF":0.0,"publicationDate":"2024-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140490593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. J. A. Ramos, C. A. Nonato, C. A. Raposo, M. M. Freitas, E. A. Coayla-Teran
{"title":"On the stability of the swelling porous elastic soils with fluid saturation and Gurtin–Pipkin thermal law","authors":"A. J. A. Ramos, C. A. Nonato, C. A. Raposo, M. M. Freitas, E. A. Coayla-Teran","doi":"10.1007/s11565-023-00486-1","DOIUrl":"10.1007/s11565-023-00486-1","url":null,"abstract":"<div><p>The present paper is devoted to studying the well-posedness and exponential stability of the one-dimensional system in the linear isothermal theory of swelling porous elastic soils with fluid saturation and Gurtin–Pipkin thermal law. For the well-posedness, we apply the well-known Hille–Yosida theorem of semigroup theory. To prove exponential stability without assuming that the wave speeds are the same, we use the energy method which consists of constructing a Lyapunov functional equivalent to the system’s total energy.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 2","pages":"493 - 514"},"PeriodicalIF":0.0,"publicationDate":"2024-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-023-00486-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140492657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abdelkarim Boua, Gurninder S. Sandhu, Ahmed Y. Abdelwanis
{"title":"Jordan ideals and ((alpha , beta ))-derivations on 3-prime near-rings and rings","authors":"Abdelkarim Boua, Gurninder S. Sandhu, Ahmed Y. Abdelwanis","doi":"10.1007/s11565-023-00485-2","DOIUrl":"10.1007/s11565-023-00485-2","url":null,"abstract":"<div><p>Let <span>({mathcal {N}})</span> be a 3-prime near-ring with center <span>(Z({mathcal {N}}))</span>, <span>(alpha , beta : {mathcal {N}}rightarrow {mathcal {N}})</span> be the maps, and <i>J</i> be a nonzero Jordan ideal of <span>({mathcal {N}}.)</span> In this paper, we first introduce the notion of left <span>((alpha , beta ))</span>-derivations and then study their properties. We also characterize the commutativity of 3-prime near rings and obtain some related results. Finally, some examples are provided to illustrate that the hypotheses of our results are not superfluous.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 2","pages":"479 - 491"},"PeriodicalIF":0.0,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-023-00485-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139617199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Zero-cycles and the Cayley–Oguiso automorphism","authors":"Gilberto Bini, Robert Laterveer","doi":"10.1007/s11565-023-00483-4","DOIUrl":"10.1007/s11565-023-00483-4","url":null,"abstract":"<div><p>Cayley and Oguiso have constructed certain quartic K3 surfaces <i>S</i>, with automorphisms <i>g</i> of infinite order. We show that when <i>g</i> is symplectic (resp. anti-symplectic), it acts as the identity (resp. minus the identity) on the degree zero part of the Chow group of zero-cycles of <i>S</i>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 2","pages":"461 - 477"},"PeriodicalIF":0.0,"publicationDate":"2024-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-023-00483-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139380735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}