云南高校图书馆联盟文献共享服务平台- WELL-POSEDNESS

WELL-POSEDNESS: 作品数：166被引量：126H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：朱敏刘峰刘峰董洪斌杜毅更多>>; 相关机构：东南大学北京大学中央财经大学新疆大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>

STRICHARTZ AND SMOOTHING ESTIMATES FOR DISPERSIVE SEMI-GROUP e^(-itP(D)) IN WEIGHTED L^(2) SPACES AND THEIR APPLICATIONS: 《Acta Mathematica Scientia》2025年第2期401-415,共15页Jiecheng CHEN Shaolei RU Chenjing WU; supported by the NSFC(12071437);the National Key R&D Program of China(2022YFA1005700).; Combining TT* argument and bilinear interpolation,this paper obtains the Strichartz and smoothing estimates of dispersive semigroup e^(-itP(D)) in weighted L^(2) spaces.Among other things,we recover the results in[1]....; 关键词：Strichartz estimates smoothing estimates Morrey-Campanato class weighted L^(2)spaces WELL-POSEDNESS

The well-posedness of incompressible impinging jet flow in an axisymmetric finitely long nozzle: 《四川大学学报(自然科学版)》2025年第1期31-37,共7页WANG Xin ZHANG Fan; 四川省青年科技创新研究团队项目(2021JDTD0024);山西省基础研究计划项目(202303021222116)。; This paper mainly studies the well-posedness of steady incompressible impinging jet flow problem through a 3D axisymmetric finitely long nozzle.This problem originates from the physical phenomena encountered in practi...; 关键词：Existence and uniqueness Impinging jet flow Incompressible flow Free boundary Axisym-metric finitely long nozzle

WELL-POSEDNESS AND PEAKON SOLUTIONS FOR A HIGHER ORDER CAMASSA-HOLM TYPE EQUATION: 《数学杂志》2025年第1期57-71,共15页CHEN shuang; In this paper,we delve into a generalized higher order Camassa-Holm type equation,(or,an ghmCH equation for short).We establish local well-posedness for this equation under the condition that the initial data uo belon...; 关键词：Generalized higher order Camassa-Holm type equation Local well-posedness PEAKON

Well-Posedness and Asymptotic Estimate for a Diffusion Equation with Time-Fractional Derivative: 《Chinese Annals of Mathematics,Series B》2025年第1期115-138,共24页Zhiyuan LI Xinchi HUANG Masahiro YAMAMOTO; supported by the National Natural Science Foundation of China(Nos.12271277,11771270,11801326,91730303);the Japan Society for the Promotion of Science(Nos.20H00117,20F20319);A3 Foresight Program“Modeling and Computation of Applied Inverse Problems”of Japan Society for the Promotion of Science and the Research Institute for Mathematical Sciences,an International Joint Usage/Research Center located in Kyoto University。; In this paper,the authors study the well-posedness and the asymptotic estimate of solution for a mixed-order time-fractional diffusion equation in a bounded domain subject to the homogeneous Dirichlet boundary conditi...; 关键词：Mixed-order fractional diffusion equation Initial-boundary value problem Asymptotic estimate Energy method

Dynamics of a predator-prey model with mutation and nonlocal effect: 《International Journal of Biomathematics》2024年第8期123-146,共24页Bang-Sheng Han Shao-Yue Mi Miao-Miao Wen Lin Zhao; supported by the Natural Science Foundation of China(12161052,11801470 and U22A20231);the Natural Science Foundation of Sichuan Province(2022NSFSC1819);the Central Government Funds for Guiding Local Scientific and Technological Development(2021zYD0010);the Fundamental Research Funds for the Central Universities(2682022zTPY080).; The global dynamics of a nonlocal predator-prey model with mutation are investigated in this paper.First,by building a new comparison principle and constructing monotone iterative sequences,we give the existence of th...; 关键词：Predator-prey model NONLOCAL MUTATION WELL-POSEDNESS asymptotic behavior

An accurate and efficient space-time Galerkin spectral method for the subdiffusion equation: 《Science China Mathematics》2024年第10期2387-2408,共22页Wei Zeng Chuanju Xu; supported by National Natural Science Foundation of China (Grant No. 11971408)。; In this paper, we design and analyze a space-time spectral method for the subdiffusion equation.Here, we are facing two difficulties. The first is that the solutions of this equation are usually singular near the init...; 关键词：subdiffusion equations variable transformation Ψ-Sobolev spaces WELL-POSEDNESS space-time Galerkin spectral method error estimate fast algorithm

Dynamic Analysis of the Multi-state Reliability System with Priority Repair Discipline: 《Acta Mathematicae Applicatae Sinica》2024年第3期665-694,共30页Aihemaitijiang YUMAIER Ehmet KASIM; supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region(No.2022D01C46);National Natural Science Foundation of China(No.11801485)。; This paper considers a multi-state repairable system that is composed of two classes of components,one of which has a priority for repair.First,we investigate the well-posedenss of the system by applying the operator ...; 关键词：multi-state system C0-SEMIGROUP Dirichlet operator WELL-POSEDNESS asymptotic behavior

On the Well-Posedness Problem of the Anisotropic Porous Medium Equation with a Variable Diffusion Coefficient: 《Journal of Partial Differential Equations》2024年第2期135-149,共15页ZHAN Huashui; supported by Natural Science Foundation of Fujian Province(No.2022J011242),China。; The initial-boundary value problem of an anisotropic porous medium equation■is studied.Compared with the usual porous medium equation,there are two different characteristics in this equation.One lies in its anisotrop...; 关键词：Anisotropic porous medium equation variable diffusion coefficient stability partial boundary condition

THE GLOBAL EXISTENCE OF STRONG SOLUTIONS FOR A NON-ISOTHERMAL IDEAL GAS SYSTEM: 《Acta Mathematica Scientia》2024年第3期865-886,共22页韩斌赖宁安 Andrei TARFULEA; partially supported by the Zhejiang Province Science Fund(LY21A010009);partially supported by the National Science Foundation of China(12271487,12171097);partially supported by the National Science Foundation(DMS-2012333,DMS-2108209)。; We investigate the global existence of strong solutions to a non-isothermal ideal gas model derived from an energy variational approach.We first show the global wellposedness in the Sobolev space H^(2)(R^(3)) for solu...; 关键词：thermal fluid equations energy-variational method well-posedness theory for PDE paraproduct calculus

On the global smooth solutions of 3D incompressible Hall-MHD equations: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期319-327,共9页YUE Gao-cheng SUN Wen-da; Supported by the Fundamental Research Funds for the Central Universities(NS2022071).; The present paper is devoted to the well-posedness issue for the 3D incompressible Hall-MHD system obtained from kinetic models. Our analysis strongly relies on the use of the Fourier analysis. We establish the global...; 关键词：3D Hall-MHD WELL-POSEDNESS Fourier analysis

WELL-POSEDNESS