ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS理性力学与分析档案
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS(英文缩写 ARCH RATION MECH AN),ISSN 0003-9527,eISSN 1432-0673,中文译名:理性力学与分析档案 是一本学术期刊。本页汇总该期刊的最新影响因子、分区信息以及最新收录于 PubMed 的文献,帮助您快速了解期刊全貌。
发文量统计区间：2025-11-01 至 2026-10-31，按本站收录文献的发表日期统计。
期刊介绍
历年影响因子趋势
| JCR 数据年份 | 影响因子 | JCR 分区 |
|---|---|---|
| 2021 | 2.528 | Q1 |
| 2022 | 2.500 | Q1 |
| 2023 | 2.600 | Q1 |
| 2024 | 2.400 | Q1 |
| 2025 | 2.900 | Q1 |
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 最新收录文献
-
1. Unstable Vortices, Sharp Non-Uniqueness with Forcing, and Global Smooth Solutions for the SQG Equation.
1. 不稳定涡旋、带强迫的尖锐非唯一性以及SQG方程的全局光滑解PMID:日期:2026-10-03We prove that non-uniqueness of weak solutions to the forced -SQG equation with Sobolev regularity in the supercritical regime , covering the 2D Euler equation ( ), the Surface Quasi-Geostrophic equation ( ), and the intermediate cases. A key step is the construction of smooth, compactly supported vortices that exhibit non-linear instability. As a by-product, we show that existence of global smooth solutions to the (unforced) -SQG equation that are neither rotating nor traveling.
-
2. Gradient Flow Dynamics for Cell Membranes in the Canham-Helfrich Model.
2. Canham-Helfrich 模型中细胞膜的梯度流动力学PMID:日期:2026-08-24The most energetically efficient way that a deformed red blood cell regains equilibrium is mathematically described by the gradient flow of the Canham-Helfrich functional, including a spontaneous curvature and the conservation of surface area and enclosed volume. Using a recently discovered multiplicity inequality, we prove the global existence and convergence of smooth solutions for spheres and axisymmetric tori, provided that the initial energy lies below explicit thresholds.
-
3. The Unique Limit of the Glimm-Lax Construction for Sobolev Data and Obstructions to 1-d Convex Integration.
PMID:日期:2026-08-24We consider a genuinely nonlinear 1-d system of hyperbolic conservation laws with two unknowns. A famous construction of Glimm & Lax shows that global-in-time "Glimm-Lax" weak entropy solutions exist in this setting for any initial data with small norm [Mem. Amer. Math. Soc. (1970), no. 101]. Recent work in the -stability theory by Bressan, Marconi & Vaidya has given the first partial uniqueness and stability results for these solutions [Arch. Ration. Mech. Anal. (2025), vol. 249]. In this paper, we build on these results by combining them with recent advances in the -theory. We show that solutions with initial data in the Sobolev space for are unique in the full class of Glimm-Lax solutions that decay in total variation at a rate of 1/. As a secondary result, our techniques are also used to show the recent non-uniqueness result of Chen, Vasseur & Yu for continuous solutions [preprint (2024)] cannot extend to solutions for , alongside some appropriate fractional Sobolev spaces . An auxiliary result of independent interest is the development of a weighted relative entropy contraction for perturbations of rarefaction waves.
-
4. {"_":"Boundedness and Decay for the Teukolsky Equation on Kerr in the Full Subextremal Range : Frequency Space Analysis.","mml:math":[{"xmlns:mml":["http://www.w3.org/1998/Math/MathML"],"mml:mrow":[{"mml:mo":["|","|","<"],"mml:mi":["a","M"]}]}]}
4. {"_":"全次极端范围内Kerr时空中Teukolsky方程的有界性与衰减：频率空间分析。","mml:math":[{"xmlns:mml":["http://www.wPMID:日期:2026-08-21In this paper, and in the companion ([152]), we study the gauge-invariant components of linear perturbations of Kerr black hole spacetimes in the full subextremal range of parameters . We show that, for all , solutions of the Teukolsky equation of spin and spin arising from regular initial data remain bounded and decay in time. Our result makes completely explicit the dependence of these bounds on the Kerr black hole parameters, while being entirely self-contained. For completeness, we also include the case of the scalar wave equation, . The present paper, which is an abridged version of our preprint ([151]), considers fixed frequency solutions of the transformed system of equations introduced by Dafermos et al. (Acta Math 222(1):1-214, 2019). We obtain estimates which are uniform in the separation parameters for subextremal , as well as estimates away from the superradiant frequency threshold up to and including the extremal . In the subextremal case, these estimates are summed in our companion paper ([152]) to yield the conclusion of the proof of our main result.
-
5. Quantum Systems at The Brink: Helium-Type Systems.
5. 濒临边缘的量子系统：氦型系统PMID:日期:2026-07-13[中文摘要] 本文研究氦型体系中的两个具有挑战性的问题：阈值处本征值的存在性以及相应本征函数的渐近行为。由于处理这些问题的常用方法需要与本质谱保持安全距离，因此当本征值进入连续谱时，这些方法在临界情形下无法适用。我们发展了一种方法来处理这两个问题，并推导出临界氦型体系基态在本质谱阈值处的渐近行为。这是量子化学中该基准问题基态精确渐近行为的首次证明。此外，我们的界精确描述了当体系变为临界时基态渐近衰减如何变化。
[英文摘要] In the present paper we study two challenging problems for helium-type systems: the existence of eigenvalues at thresholds and the asymptotic behavior of the corresponding eigenfunctions. Since the usual methods for addressing these problems need a safety distance to the essential spectrum, they cannot be applied in critical cases, when an eigenvalue enters the continuum. We develop a method to address both problems and derive for the asymptotic behavior of the ground state of critical helium-type systems at the threshold of the essential spectrum. This is the first proof of the precise asymptotic behavior of the ground state for this benchmark problem in quantum chemistry. Moreover, our bounds describe precisely how the asymptotic decay of the ground state changes, when the system becomes critical.
-
6. Stability of Rayleigh-Jeans Equilibria in the Kinetic FPU Equation.
6. 动力学FPU方程中瑞利-金斯平衡态的稳定性PMID:日期:2026-07-07We study the nonlinear dynamics of the kinetic wave equation associated with the FPU problem and prove the stability of the non-singular Rayleigh-Jeans equilibria. The lack of a spectral gap for the linearized problem leads to polynomial decay, which we are able to leverage to obtain nonlinear stability.
-
7. Maximal Dissipation and Well-Posedness of the Euler System of Gas Dynamics.
7. 气体动力学欧拉系统的最大耗散与适定性PMID:日期:2026-06-03[中文摘要] 我们证明，可压缩Euler系统的任何耗散（测度值）解，只要满足Dafermos最大耗散准则，就必然是容许弱解。此外，我们提出了一个简单的、至多两步的选择程序，用于在Euler系统的耗散解类中识别唯一的半群解。最后，我们引入了Dafermos准则的一个精细化版本，对于任何有限能量初始数据，该版本都能给出问题的唯一解。
[英文摘要] We show that any dissipative (measure-valued) solution of the compressible Euler system that complies with Dafermos' criterion of maximal dissipation is necessarily an admissible weak solution. In addition, we propose a simple, at most two-step, selection procedure to identify a unique semigroup solution in the class of dissipative solutions to the Euler system. Finally, we introduce a refined version of Dafermos' criterion yielding a unique solution of the problem for any finite energy initial data.
-
8. An Inverse Signorini Obstacle Problem.
8. 一个逆向西尼奥里尼障碍问题PMID:日期:2026-05-26We study the inverse problem of determining a Signorini obstacle from boundary measurements for the isotropic elasticity system. We prove that the obstacle can be uniquely determined by a single measurement of displacement and normal stress for the Signorini problem on an open subset of the boundary up to a natural obstruction. In addition to considering the Signorini problem, we develop techniques that can be used to study inverse problems for general differential inequalities.
-
9. Global Results for Weakly Dispersive KP-II Equations on the Cylinder.
9. 圆柱面上弱色散KP-II方程的全局结果PMID:日期:2026-05-23We consider the dispersion-generalized KP-II equation on a partially periodic domain in the weakly dispersive regime. We use Fourier decoupling techniques to derive essentially sharp Strichartz estimates. With these in hand, we show that global well-posedness of the quasilinear Cauchy problem in . Finally, we prove a long-time decay property of solutions with small mass by using the Kato smoothing effect in the fractional case.
-
10. {"_":"Finite Time Blow-Up for the Hypodissipative Navier Stokes Equations with a Force in .","mml:math":[{"xmlns:mml":["http://www.w3.org/1998/Math/MathML"],"mml:mrow":[{"mml:msubsup":[{"mml:mi":["L","t"],"mml:mn":["1"]},{"mml:mi":["C","x"],"mml:mrow":[{"mml:mn":["1"],"mml:mo":[","],"mml:mi":["ϵ"]}]},{"mml:mi":["L","t","∞"]},{"mml:mi":["L","x"],"mml:mn":["2"]}],"mml:mo":["∩"]}]}]}
PMID:日期:2026-05-11In this work we establish the formation of singularities of classical solutions with finite energy of the forced fractional Navier Stokes equations where the dissipative term is given by for any ( ). We construct solutions in with a finite and with an external forcing which is in , such that for each time , the velocity is in the space and such that as the time approaches the blow-up moment , the integral tends to infinity. Since this result lays in a well-posedness class, the blow-up is generated by the dynamics of the equation and not by the force itself. This is the first blow-up result for hypodissipative Navier-Stokes in a well-posedness class.