Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges.    The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles.    Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.

Confluentes Mathematici is a mathematical research journal. Since its establishment in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the desire of the mathematical community of Lyon-Saint-Étienne to engage in new forms of scientific publishing. The journal is published exclusively in electronic format, is fully open access, and does not charge authors. It aims to publish high-quality mathematical research articles in English, French, or German. All areas of mathematics (both pure and applied) and mathematical physics will be considered, as well as the history of mathematics. Confluentes Mathematici also publishes survey articles. Authors are encouraged to pay particular attention to the expository style of their articles to ensure they are accessible to all relevant communities.

《Confluentes Mathematici》是一本数学研究期刊。自2009年由里昂大学的Institut Camille Jordan UMR 5208和Unité de Mathématiques Pures et Appliquées UMR 5669创办以来，它反映了里昂-圣艾蒂安数学界参与新型科学出版形式的愿望。该期刊仅以电子形式出版，完全开放获取，并且不收取作者费用。期刊旨在发表高质量的数学研究文章，语言包括英语、法语或德语。所有纯数学、应用数学及数学物理领域的研究都将被考虑，同时也欢迎数学史相关的文章。《Confluentes Mathematici》还会发表综述文章。作者需特别注意文章的阐述风格，以确保各相关领域的读者都能理解。

Confluentes Mathematici

Johannes Witzig

Abstract Excision and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>ℓ</mml:mi> <mml:mn>1</mml:mn> </mml:msup></mml:math>-Homology

抽象切除与<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>ℓ</mml:mi> <mml:mn>1</mml:mn> </mml:msup></mml:math>-同调

Jamshid Derakhshan

Angus Macintyre

Model completeness for finitely ramified Henselian fields valued in a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ℤ</mml:mi></mml:math>-group and for pseudo-algebraically closed fields

有限分支Henselian域在<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ℤ</mml:mi></mml:math>-群中的模型完备性与伪代数闭域

Given a compact manifold $N^n \subset \mathbb{R}^ν$, $s \ge 1$ and $1 \le p &lt; \infty$, we prove that the class of smooth maps on the cube with values into $N^n$ is strongly dense in the fractional Sobolev space $W^{s, p}(Q^m; N^n)$ when $N^n$ is $\lfloor sp \rfloor$ simply connected. For $sp$ integer, we prove weak density of smooth maps with values into $N^n$ when $N^n$ is $sp - 1$ simply connected. The proofs are based on the existence of a retraction of $\mathbb{R}^ν$ onto $N^n$ except for a small subset of $N^n$ and on a pointwise estimate of fractional derivatives of composition of maps in $W^{s, p} \cap W^{1, sp}$.

Pierre Bousquet

Augusto C. Ponce

Jean Van Schaftingen

Density of smooth maps for fractional Sobolev spaces <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>W</mml:mi> <mml:mrow><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow> </mml:msup></mml:math> into <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ℓ</mml:mi></mml:math> simply connected manifolds when <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>s</mml:mi><mml:mo>≥</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml…

分数Sobolev空间<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>W</mml:mi> <mml:mrow><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow> </mml:msup></mml:math>到<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ℓ</mml:mi></mml:math>单连通流形的平滑映射的密度，当<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>s</mml:mi><mml:mo>≥</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml…>

Let G be a finite group, p the smallest prime dividing the order of G and P a Sylow p-subgroup of G with the smallest generator number d. There is a set ℳ d (P)={P 1 ,P 2 ,⋯,P d } of maximal subgroups of P such that ⋂ i=1 d P i =Φ(P). In the present paper, we investigate the structure of a finite group under the assumption that every member of ℳ d (P) is either s-permutably embedded or weakly s-permutable in G to give criteria for a group to be p-supersolvable or p-nilpotent.

Fenfang Xie

Jinjin Wang

Jiayi Xia

Guo Zhong

Finite Groups with some <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>s</mml:mi></mml:math>-Permutably Embedded and Weakly <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>s</mml:mi></mml:math>-Permutable Subgroups

具有某些<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>s</mml:mi></mml:math>-可置换嵌入和弱<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>s</mml:mi></mml:math>-可置换子群的有限群

We show that the solution of the two-dimensional Dirichlet problem set in a plane domain is the limit of the solutions of similar problems set on a sequence of one-dimensional networks as their size goes to zero. Roughly speaking this means that a membrane can be seen as the limit of rackets made of strings. For practical applications, we also show that the solutions of the discrete approximated problems (again on the one-dimensional networks) also converge to the solution of the two-dimensional Dirichlet problem.

Maryse Bourlard-Jospin

Serge Nicaise

Juliette Venel

Approximation of the two-dimensional Dirichlet problem by continuous and discrete problems on one-dimensional networks

二维Dirichlet问题在一维网络上的连续和离散问题的逼近

We introduce and study a simple Markovian model of random separable permutations. Our first main result is the almost sure convergence of these permutations towards a random limiting object in the sense of permutons, which we call the recursive separable permuton. We then prove several results on this new limiting object: a characterization of its distribution via a fixed-point equation, a combinatorial formula for its expected pattern densities, an explicit integral formula for its intensity measure, and lastly, we prove that its distribution is absolutely singular with respect to that of the Brownian separable permuton, which is the large size limit of uniform random separable permutations.

Valentin Féray

Kelvin Rivera-Lopez

The permuton limit of random recursive separable permutations

随机递归可分离排列的置换极限

In this article, we first try to make the known analogy between convexity and plurisubharmonicity more precise. Then we introduce a notion of strict plurisubharmonicity analogous to strict convexity, and we show how this notion can be used to study the strong maximum modulus principle in Banach spaces. As an application, we define a notion of $L^p$ direct integral of a family of Banach spaces, which includes at once Bochner $L^p$ spaces, $\ell^p$ direct sums and Hilbert direct integrals, and we show that under suitable hypotheses, when $p &lt; \infty$, an $L^p$ direct integral satisfies the strong maximum modulus principle if and only if almost all members of the family do. This statement can be considered as a rewording of several known results, but the notion of strict plurisubharmonicity yields a new proof of it, which has the advantage of being short, enlightening and unified.

Anne-Edgar Wilke

Convexity, plurisubharmonicity and the strong maximum modulus principle in Banach spaces

凸性、多重次调和性和Banach空间中的强极大模原理

We treat the 1D shock tube problem, establishing existence of steady solutions of full (nonisentropic) polytropic gas dynamics with arbitrary noncharacteristic data.We present also numerical experiments indicating uniqueness and time-asymptotic stability of such solutions.At the same time, we give an example of an (artificial) equation of state possessing a convex entropy for which there holds nonuniqueness of solutions.This is associated with instability and Hopf bifurcation to time-periodic solutions.Résumé.(Existence et stabilité de solutions non caractéristiques et stationnaires des équations de Navier-Stokes non isentropiques sur un intervalle) Nous étudions le problème du tube de choc, établissant l'existence et la stabilité de solutions stationnaires des équations de Navier-Stokes non isentropiques pour des données non caractéristiques.Nous présentons aussi des simulations numériques indiquant l'unicité et la stabilité de telles solutions.Dans le même temps, nous donnons un exemple d'équation d'état artificielle possédant une entropie convexe où l'unicité n'a pas lieu.Ce phénomène est associé à une instabilité et une bifurcation de Hopf de solutions périodiques en temps.

Blake Barker

Benjamin Melinand

Kevin Zumbrun

Existence and stability of steady noncharacteristic solutions on a finite interval of full compressible Navier–Stokes equations

有限区间上全可压缩Navier-Stokes方程的稳态非特征解的存在性与稳定性

u9zg3I	数学物理纯数学量子力学数学分析计算机科学组合数学哲学几何学离散数学
+5d/bs	e+/GRg: Institut Camille Jordan，uzYam8: ，dxwaWB: journal，8x2mMQ: TY4X7V
ak9yM6	A7IHrH: 2017，sQJ/D8: 0.00%，sE9og+:N.A.， wzlKC/: 0.00%

Confluentes Mathematici

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Abstract Excision and ℓ 1 -Homology

Model completeness for finitely ramified Henselian fields valued in a ℤ-group and for pseudo-algebraically closed fields

Density of smooth maps for fractional Sobolev spaces W s,p into ℓ simply connected manifolds when s≥1
分数Sobolev空间W s,p 到ℓ单连通流形的平滑映射的密度，当s≥1

Finite Groups with some s-Permutably Embedded and Weakly s-Permutable Subgroups

Approximation of the two-dimensional Dirichlet problem by continuous and discrete problems on one-dimensional networks

Abstract Excision and ℓ 1 -Homology

Model completeness for finitely ramified Henselian fields valued in a ℤ-group and for pseudo-algebraically closed fields

The permuton limit of random recursive separable permutations

Convexity, plurisubharmonicity and the strong maximum modulus principle in Banach spaces

Existence and stability of steady noncharacteristic solutions on a finite interval of full compressible Navier–Stokes equations

ISSN	1793-7434, 1793-7442
h-index	5

Confluentes Mathematici

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sZFHBm

sZFHBm

sZFHBm

sZFHBm

Hi2Sc4

e7MLUV

XjnQ+b

Kq5Kd6

LB2xFn

XmiM++

Abstract Excision and ℓ 1 -Homology

Model completeness for finitely ramified Henselian fields valued in a ℤ-group and for pseudo-algebraically closed fields

Density of smooth maps for fractional Sobolev spaces W s,p into ℓ simply connected manifolds when s≥1分数Sobolev空间W s,p 到ℓ单连通流形的平滑映射的密度，当s≥1

Finite Groups with some s-Permutably Embedded and Weakly s-Permutable Subgroups

Approximation of the two-dimensional Dirichlet problem by continuous and discrete problems on one-dimensional networks

Abstract Excision and ℓ 1 -Homology

Model completeness for finitely ramified Henselian fields valued in a ℤ-group and for pseudo-algebraically closed fields

The permuton limit of random recursive separable permutations

Convexity, plurisubharmonicity and the strong maximum modulus principle in Banach spaces

Existence and stability of steady noncharacteristic solutions on a finite interval of full compressible Navier–Stokes equations

Density of smooth maps for fractional Sobolev spaces W s,p into ℓ simply connected manifolds when s≥1
分数Sobolev空间W s,p 到ℓ单连通流形的平滑映射的密度，当s≥1