检索结果-南通市图书馆

维普期刊数据库

Stabilities of delay stochastic McKean-Vlasov equations in the G-framework

在线全文

学校读者我要写书评

暂无评论

Science China(Information Sciences) 2025年第1期68卷 255-277页

作者： Haiyan YUAN Quanxin ZHU Department of mathematics Heilongjiang Institute of Technology Key Laboratory of Computing and Stochastic mathematics (Ministry of Education) School of Mathematics and Statistics Hunan Normal University

This article focuses on a type of stochastic Mc Kean-Vlasov equation in the G-framework(G-SMVE) and addresses the stability issue for delay stochastic Mc Kean-Vlasov equations in the G-framework(G-SMVDEs). Distribution dependence and uncertainty prevent us from directly applying the stochastic analysis method for stochastic Mc Kean-Vlasov equations(SMVEs)to G-SMVEs directly. To overcome this difficulty, we introduce definitions, including the derivative of a function with a law under the G-expectation and the Lions derivatives. Then we construct a new G-It? formula for G-SMVEs according to the G-It? formula for stochastic differential equations in the G-framework(G-SDEs) and the It? formula for SMVEs. Using the new G-It? formula and the Lyapunov functional method, we investigate the moment exponential stability and almost sure asymptotic stability of G-SMVDEs. To overcome the difficulty in obtaining the distribution dependence of the exact solution to the G-SMVDE, we introduce the empirical measure and the corresponding interacting particle system, and then prove the stability equivalence between the underlying G-SMVDE and the corresponding interacting particle system. Two examples are used to confirm our theoretical results.

关键词： delay stochastic McKean-Vlasov equations Wasserstein distance G-Brownian motion Lions derivative stability

Multi-layer controlled remote implementation of partially unknown single-qudit operations

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2025年第2期77卷 54-65页

作者： Siyi Li Songya Ma Si Jin School of mathematics and Statistics Henan University institute of mathematics Henan Academy of Sciences

Our concern is to investigate controlled remote implementation of partially unknown operations with multiple layers. We first propose a scheme to realize the remote implementation of singlequbit operations belonging to the restricted sets. Then, the proposed scheme is extended to the case of single-qudit operations. As long as the controller and the higher-layer senders consent,the receiver can restore the desired state remotely operated by the sender. It is worth mentioning that the recovery operation is deduced by general formulas which clearly reveal the relationship with the measurement outcomes. For the sake of clarity, two specific examples with two levels are given respectively. In addition, we discuss the influence of amplitude-damping noise and utilize weak measurement and measurement reversal to effectively resist noise.

关键词： controlled remote implementation of quantum operation multiple layers recovery operation amplitude-damping noise weak measurement and measurement reversal

Solution of a Time-Space Tempered Fractional Diffusion-Wave Equation and its Theoretical Aspects

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2025年第1期41卷 1-26页

作者： Pratibha VERMA Surabhi TIWARI Department of mathematics Indian Institute of Technology JodhpurJodhpur-342030RajasthanIndia Department of mathematics Motilal Nehru National Institute of Technology AllahabadPrayagraj-211004Uttar PradeshIndia

This article proves the existence and uniqueness conditions of the solution of two-dimensional time-space tempered fractional diffusion-wave equation. We find analytical solution of the equation via the two-step Adomian decomposition method(TSADM). The existence result is obtained with the help of some fixed point theorems, while the uniqueness of the solution is a consequence of the Banach contraction ***, we study the stability via the Ulam-Hyers stability for the considered problem. The existing techniques use numerical algorithms for solving the two-dimensional time-space tempered fractional diffusionwave equation, and thus, the results obtained from them are the approximate solution of the problem with high computational and time complexity. In comparison, our proposed method eliminates all the difficulties arising from numerical methods and gives an analytical solution with a straightforward process in just one iteration.

关键词： Caputo fractional derivative two-step Adomian decomposition method time-space tempered fractional di usion-wave equation Riesz derivative Ulam-Hyers stability xed point theorem

维普期刊数据库

Quantum convolution inequalities on Frobenius von Neumann algebras

在线全文

学校读者我要写书评

暂无评论

Science China mathematics 2025年第3期68卷 615-636页

作者： Linzhe Huang Zhengwei Liu Jinsong Wu Beijing institute of Mathematical Sciences and Applications Yau Mathematical Sciences Center and Department of mathematics Tsinghua University

In this paper, we introduce Frobenius von Neumann algebras and study quantum convolution inequalities. In this framework, we unify quantum Young's inequality on quantum symmetries such as subfactors,and fusion bi-algebras studied in quantum Fourier analysis. Moreover, we prove quantum entropic convolution inequalities and characterize the extremizers in the subfactor case. We also prove quantum smooth entropic convolution inequalities. We obtain the positivity of comultiplications of subfactor planar algebras, which is stronger than the quantum Schur product theorem. All these inequalities provide analytic obstructions of unitary categorification of fusion rings stronger than the Schur product criterion.

关键词： Frobenius von Neumann algebra quantum Young's inequality quantum entropic convolution inequality unitary categorification

同方期刊数据库

The global existence and low Mach number limit for full Navier-Stokes equations around the Couette flow in a finite channel

在线全文

学校读者我要写书评

暂无评论

Science China mathematics 2025年

作者： Tuowei Chen Qiangchang Ju institute of Applied Physics and Computational mathematics

In this paper, we study the global existence and low Mach number limit of strong solutions to the2-D full compressible Navier-Stokes equations around the Couette flow in a horizontally periodic layer with non-slip and isothermal boundary conditions. It is shown that the Couette flow is asymptotically stable for sufficiently small initial perturbations, provided that the Reynolds number, Mach number and temperature difference between the top and the lower walls are small. For the case where both the top and the lower walls maintain the same temperature, we further prove that such global strong solutions converge to a steady solution of the incompressible Navier-Stokes equations as the Mach number goes to zero.

关键词：

Observability for the Schr?dinger equation in a uniform magnetic field

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2025年

作者： Zhang FANG Department of mathematics Beijing Institute of Technology

We prove the observability inequalities at two time points for the Schr?dinger equation in a uniform magnetic field in dimensions 2 and 3. The proofs mainly rely on Nazarov’s uncertainty principle. In particular, the observability inequality in three dimensions can also be derived from the approach used to establish the Amerin-Berthier uncertainty principle.

关键词：

Bandgap characteristics analysis and graded design of a novel metamaterial for flexural wave suppression

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Applied mathematics and Mechanics(English Edition) 2025年第1期46卷 1-24页

作者： Fan YANG Zhaoyang MA Xingming GUO Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai Institute of Applied Mathematics and Mechanics School of Mechanics and Engineering ScienceShanghai University Shanghai institute of Aircraft Mechanics and Control

A novel elastic metamaterial is proposed with the aim of achieving lowfrequency broad bandgaps and bandgap regulation. The band structure of the proposed metamaterial is calculated based on the Floquet-Bloch theorem, and the boundary modes of each bandgap are analyzed to understand the effects of each component of the unit cell on the bandgap formation. It is found that the metamaterials with a low elastic modulus of ligaments can generate flexural wave bandgaps below 300 Hz. Multi-frequency vibrations can be suppressed through the selective manipulation of bandgaps. The dual-graded design of metamaterials that can significantly improve the bandgap width is proposed based on parametric studies. A new way that can regulate the bandgap is revealed by studying the graded elastic modulus in the substrate. The results demonstrate that the nonlinear gradient of the elastic modulus in the substrate offers better bandgap performance. Based on these analyses, the proposed elastic metamaterials can pave the way for multi-frequency vibration control, low-frequency bandgap broadening, and bandgap tuning.

关键词： flexural wave bandgap graded design local resonance metamaterial O421+.5

Semiparametric Additive Hazards Model with Doubly Truncated Data

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2025年第2期41卷 619-639页

作者： Yijin Zhang Liuquan Sun institute of Applied mathematics Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190P.R.China University of Chinese Academy of Sciences Beijing 100049P.R.China

Doubly truncated data arise when the survival times of interest are observed only if they fall within certain random *** this paper,we consider a semiparametric additive hazards model with doubly truncated data,and propose a weighted estimating equation approach to estimate the regression coefficients,where the weights are estimated both parametrically and *** asymptotic properties of the resulting estimators are *** studies demonstrate that the proposed estimators perform well in a finite *** application to Parkinson's disease data is provided.

关键词： Additive hazards model double truncation estimating equations inverse weighting survival analysis

Two new families of fourth-order explicit exponential Runge–Kutta methods with four stages for first-order differential systems

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2025年

作者： Xian Fa HU Yong Lei FANG Bin WANG School of mathematics and Statistics Changshu Institute of Technology School of mathematics and Statistics Zaozhuang University School of mathematics and Statistics Xi'an Jiaotong University

In this paper, we formulate two new families of fourth-order explicit exponential Runge–Kutta (ERK) methods with four stages for solving first-order differential systems y′(t)+My(t)=f(y(t)). The order conditions of these ERK methods are derived by comparing the Taylor series of the exact solution, which are exactly identical to the order conditions of explicit Runge–Kutta methods, and these ERK methods reduce to classical Runge–Kutta methods once M→0. Moreover, we analyze the stability properties and the convergence of these new methods. Several numerical examples are implemented to illustrate the accuracy and efficiency of these ERK methods by comparison with standard exponential integrators.

关键词：