Annali di Matematica Pura ed Applicata最新文献_第2页

Global well-posedness and large time behavior of solutions to the compressible Oldroyd-B model without stress diffusion 无应力扩散的可压缩oldyd - b模型解的全局适定性和大时态

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2026-04-09 DOI: 10.1007/s10231-026-01685-1

Yajuan Zhao, Yongsheng Li, Tao Liang, Xiaoping Zhai

{"title":"Global well-posedness and large time behavior of solutions to the compressible Oldroyd-B model without stress diffusion","authors":"Yajuan Zhao, Yongsheng Li, Tao Liang, Xiaoping Zhai","doi":"10.1007/s10231-026-01685-1","DOIUrl":"10.1007/s10231-026-01685-1","url":null,"abstract":"<div>\u0000 \u0000 We consider the Cauchy problem ((mathbb {R}^d, d=2,3)) and the initial periodic-boundary values problem ((mathbb {T}^d, d=2,3)) associated to the compressible Oldroyd-B model which is first derived by Barrett, Lu and Süli [Commun. Math. Sci., 15 (2017)] through micro–macro-analysis of the compressible Navier-Stokes-Fokker-Planck system. The lack of stress diffusion causes the problems hard to study. Exploiting tools from harmonic analysis, particularly the Littlewood-Paley theory, we establish the global well-posedness and time-decay rates for solutions of the Cauchy problem with small initial data in Besov spaces with critical regularity. By deeply exploring the structure of the perturbation system, we also obtain the global well-posedness and exponential decay rates for solutions of the initial periodic-boundary value problem with small initial data in the Sobolev spaces. We improve the recent results by Lu and Pokorný [Anal. Theory Appl., 36 (2020)], Wang and Wen [Math. Models Methods Appl. Sci., 30 (2020)], and Liu, Lu and Wen [SIAM J. Math. Anal., 53 (2021)].\u0000 </div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 5","pages":"2705 - 2746"},"PeriodicalIF":0.9,"publicationDate":"2026-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176806","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

(textrm{G}_2)-structures with parallel skew-symmetric torsion (textrm{G}_2)-具有平行斜对称扭转的结构

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2026-04-06 DOI: 10.1007/s10231-026-01678-0

Andrei Moroianu, Uwe Semmelmann

引用次数: 0

Global existence and long-term stability of spherically symmetric compressible micropolar real gas flows 球对称可压缩微极实气流的整体存在性和长期稳定性

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2026-04-06 DOI: 10.1007/s10231-026-01690-4

Angela Bašić-Šiško

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K3 surfaces and cubic fourfolds with Abelian motive 具有阿贝尔动机的K3曲面和三次四重曲面

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2026-04-06 DOI: 10.1007/s10231-026-01689-x

Hanine Awada, Michele Bolognesi, Robert Laterveer, Claudio Pedrini

引用次数: 0

An existence result in annular regions times conical shells and its application to nonlinear Poisson systems 一个环形区域倍锥壳的存在性结果及其在非线性泊松系统中的应用

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2026-04-06 DOI: 10.1007/s10231-026-01671-7

Gennaro Infante, Giovanni Mascali, Jorge Rodríguez–López

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On the first-order theories of quaternions and octonions 四元数和八元数的一阶理论

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2026-03-31 DOI: 10.1007/s10231-026-01676-2

Enrico Savi

引用次数: 0

Severi varieties on Enriques surfaces of base change type and on rational elliptic surfaces 基的Enriques曲面和有理椭圆曲面上的多种变化类型

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2026-03-28 DOI: 10.1007/s10231-026-01681-5

Simone Pesatori

引用次数: 0

Volume growth on Heintze abelian groups of diagonal type and their horospherical products 对角型Heintze阿贝尔群及其平面球积的体积增长

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2026-03-13 DOI: 10.1007/s10231-026-01675-3

René I. García-Lara

引用次数: 0

Asymptotic estimates for the torsional rigidity of rods with thinning cross sections 截面变薄杆抗扭刚度的渐近估计

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2026-03-09 DOI: 10.1007/s10231-026-01668-2

Alberto Ferrero

{"title":"Asymptotic estimates for the torsional rigidity of rods with thinning cross sections","authors":"Alberto Ferrero","doi":"10.1007/s10231-026-01668-2","DOIUrl":"10.1007/s10231-026-01668-2","url":null,"abstract":"<div>\u0000 \u0000 We study the torsional rigidity for rods with thinning cross sections. The main purpose of the paper is to prove rigorous asymptotic formulas for the torsional rigidity as the thickness of the cross section tends to zero. These asymptotic formulas are empirically known and are widely used in the field of Mechanics of Materials. From a more theoretical point of view, thinning domains are considered when studying optimal inequalities for suitable classes of functionals depending on domains. We recall as an example of this kind of inequalities the celebrated Saint Venant inequality stating that, among planar domains with fixed Lebesgue measure, the disk is the cross section corresponding to a maximal torsional rigidity. It is well known that this statement is equivalent to say that disks are maximizer of a suitable functional, see for example (Amato et al. in On the optimal sets in Pólya and Makai type inequalities, 2025) and the references therein. Actually, in the present paper other kinds of functionals are more relevant when considering thinning domains. We refer in particular to the so-called Pólya and Makai functionals, see the papers (Makai in On the principal frequency of a membrane and the torsional rigidity of a beam, Stanford Univ. Press, Stanford, 1962; Pólya, J Indian Math Soc (N.S.) 24(1960):413–419, 1961; Pólya and Szegö, Isoperimetric Inequalities in Mathematical Physics, Princeton University Press, Princeton, 1951) for more details and (1.14) in the present paper for the precise definitions.\u0000 </div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 4","pages":"2163 - 2204"},"PeriodicalIF":0.9,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-026-01668-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148628626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Runge type approximation results for spaces of smooth Whitney jets 光滑惠特尼射流空间的龙格型近似结果

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2026-03-05 DOI: 10.1007/s10231-026-01655-7

Tomasz Ciaś, Thomas Kalmes

{"title":"Runge type approximation results for spaces of smooth Whitney jets","authors":"Tomasz Ciaś, Thomas Kalmes","doi":"10.1007/s10231-026-01655-7","DOIUrl":"10.1007/s10231-026-01655-7","url":null,"abstract":"<div>\u0000 \u0000 We prove Runge type approximation results for linear partial differential operators with constant coefficients on spaces of smooth Whitney jets. Among others, we characterize when for a constant coefficient linear partial differential operator P(D) and for closed subsets (F_1subset F_2) of (mathbb {R}^d) the restrictions to (F_1) of smooth Whitney jets f on (F_2) satisfying (P(D)f=0) on (F_2) are dense in the space of smooth Whitney jets on (F_1) satisfying the same partial differential equation on (F_1). For elliptic operators we give a geometric evaluation of this characterization. Additionally, for differential operators with a single characteristic direction, like parabolic operators, we give a sufficient geometric condition for the above density to hold. Under mild additional assumptions on (partial F_1) and for (F_2=mathbb {R}^d) this sufficient conditions is also necessary. As an application of our work, we characterize those open subsets (Omega) of the complex plane satisfying (Omega =operatorname {int}overline{Omega }) for which the set of holomorphic polynomials are dense in (A^infty (Omega )), under the additional hypothesis that (overline{Omega }) satisfies the strong regularity condition. Furthermore, for the wave operator in one spatial variable, a simple sufficient geometric condition on (F_1, F_2subset mathbb {R}^2) is given for the above density to hold. For the special case of (F_2=mathbb {R}^2) this sufficient condition is also necessary under mild additional hypotheses on (F_1).\u0000 </div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 4","pages":"1769 - 1797"},"PeriodicalIF":0.9,"publicationDate":"2026-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-026-01655-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148628573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0