理性力学与分析档案将力学作为经典传统中的一门演绎数学科学滋养起来，并促进分析，特别是在应用方面。其目的是快速、全面地发表关于特殊时刻、深度和持久性的研究。

The Archive for Rational Mechanics and Analysis is a journal dedicated to the study of mechanics, emphasizing the importance of mechanics as a classical mathematical science and promoting the application of analytical methods. The journal aims to publish research findings on specific moments, depth, and permanence quickly and comprehensively.

《Archive for Rational Mechanics and Analysis》是一本致力于力学研究的期刊，强调力学作为一门经典的数学科学的重要性，并推动分析方法的应用。期刊的目标是快速而全面地发表关于特定时刻、深度和持久性的研究成果。

Archive for Rational Mechanics and Analysis

Akitaka Matsumura

Ming Mei

Convergence to Travelling Fronts of Solutions of the p -System with Viscosity in the Presence of a Boundary

p-系统在边界存在下具有粘性的解向行波前沿的收敛性

In this paper we consider the Quantum Navier–Stokes system both in two and in three space dimensions and prove the global existence of finite energy weak solutions for large initial data. In particular, the notion of weak solutions is the standard one. This means that the vacuum region is included in the weak formulation. In particular, no extra terms like damping or cold pressure are added to the system in order to define the velocity field in the vacuum region. The main contribution of this paper is the construction of a regular approximating system consistent with the effective velocity transformation needed to get the necessary a priori estimates.

Paolo Antonelli

Stefano Spirito

Global Existence of Finite Energy Weak Solutions of Quantum Navier–Stokes Equations

量子纳维-斯托克斯方程有限能量弱解的整体存在性

Abstract We study a variant of the dynamical optimal transport problem in which the energy to be minimised is modulated by the covariance matrix of the distribution. Such transport metrics arise naturally in mean-field limits of certain ensemble Kalman methods for solving inverse problems. We show that the transport problem splits into two coupled minimization problems: one for the evolution of mean and covariance of the interpolating curve and one for its shape. The latter consists in minimising the usual Wasserstein length under the constraint of maintaining fixed mean and covariance along the interpolation. We analyse the geometry induced by this modulated transport distance on the space of probabilities as well as the dynamics of the associated gradient flows. Those show better convergence properties in comparison to the classical Wasserstein metric in terms of exponential convergence rates independent of the Gaussian target. On the level of the gradient flows a similar splitting into the evolution of moments and shapes of the distribution can be observed.

Martin Burger

Matthias Erbar

Franca Hoffmann

Daniel Matthes

André Schlichting

Covariance-Modulated Optimal Transport and Gradient Flows

协方差调制的最优传输与梯度流

Robert Cardona

Nathan Duignan

David Perrella

Asymmetry of MHD Equilibria for Generic Adapted Metrics

一般适应度量下MHD平衡态的非对称性

Tarek M. Elgindi

Yupei Huang

Regular and Singular Steady States of the 2D Incompressible Euler Equations near the Bahouri–Chemin Patch

二维不可压缩欧拉方程在Bahouri–Chemin斑块附近的规则与奇异稳态

Leonardo Abbrescia

Jared Speck

Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework

三维可压缩欧拉流的显著局部积分恒等式与双零框架

André Guerra

Rita Teixeira da Costa

Oscillations in Wave Map Systems and Homogenization of the Einstein Equations in Symmetry

波映射系统中的振荡与对称性下爱因斯坦方程的均匀化

Laurel Ohm

On an Angle-Averaged Neumann-to-Dirichlet Map for Thin Filaments

关于细丝的角度平均Neumann-to-Dirichlet映射

Juan Casado-Díaz

Gilles A. Francfort

Oscar Lopez-Pamies

Maria Giovanna Mora

Liquid Filled Elastomers: From Linearization to Elastic Enhancement

液体填充弹性体：从线性化到弹性增强

Abstract We investigate the existence of minimizers of variational models featuring Eulerian–Lagrangian formulations. We consider energy functionals depending on the deformation of a body, defined on its reference configuration, and an Eulerian map defined on the unknown deformed configuration in the actual space. Our existence theory moves beyond the purely elastic setting and accounts for material failure by addressing free-discontinuity problems where both deformations and Eulerian fields are allowed to jump. To do this, we build upon the work of Henao and Mora-Corral regarding the variational modeling of cavitation and fracture in nonlinear elasticity. Two main settings are considered by modeling deformations as Sobolev and SBV-maps, respectively. The regularity of Eulerian maps is specified in each of these two settings according to the geometric and topological properties of the deformed configuration. We present some applications to specific models of liquid crystals, phase transitions, and ferromagnetic elastomers. Effectiveness and limitations of the theory are illustrated by means of explicit examples.

Marco Bresciani

Manuel Friedrich

Carlos Mora-Corral

Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure

具有欧拉-拉格朗日公式的变分模型允许材料失效

Abbreviation	Arch. Rational Mech. Anal.
Journal Impact	2.42
Quartiles(Global)	MECHANICS(Q2)

ISSN	0003-9527, 1432-0673
h-index	111
Top Journals	Yes

Publication Information	Publisher: Springer New York，Publishing cycle: Monthly，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 1957，Proportion of original research papers: 100.00%，Self Citation Rate:3.80%， Gold OA Rate: 35.15%
Average review cycle	网友分享经验：偏慢,4-8周
Average recruitment ratio	网友分享经验：较易

Archive for Rational Mechanics and Analysis

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