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Boundary blow-up analysis for approximate Dirac-harmonic maps into stationary Lorentzian manifolds: 《Science China Mathematics》2025年第3期649-676,共28页Wanjun Ai Lei Liu Miaomiao Zhu; supported by National Natural Science Foundation of China (Grant No. 12201515);the Natural Science Foundation of Chongqing, China (Grant No. cstc2021jcyj-msxmX1058);the China Scholarship Council (Grant No. 202206995009);supported by National Natural Science Foundation of China (Grant No. 12101255).;supported by Innovation Program of Shanghai Municipal Education Commission (Grant No. 2021-01-07-00-02-E00087);National Natural Science Foundation of China (Grant No. 12171314);Shanghai Frontier Science Center of Modern Analysis。; For a sequence of approximate Dirac-harmonic maps from a Riemannian surface with a smooth boundary into a stationary Lorentzian manifold, we study the boundary blow-up analysis and prove the positive energy identity f...; 关键词：Dirac-harmonic maps boundary regularity BLOW-UP Lorentzian manifolds

Blow-Up Solutions in a Parabolic Equation with Variable Coefficients and Memory Boundary Flux: 《Chinese Quarterly Journal of Mathematics》2025年第1期74-81,共8页ZHANG An-lei LIU Bing-chen; Supported by Shandong Provincial Natural Science Foundation(Grant Nos.ZR2021MA003 and ZR2020MA020).; This paper deals with a semilinear parabolic problem involving variable coefficients and nonlinear memory boundary conditions.We give the blow-up criteria for all nonnegative nontrivial solutions,which rely on the beh...; 关键词：Semilinear parabolic equation Nonlinear memory boundary flux Variable coefficient BLOW-UP

复形和图shifted性质的研究: 《海南大学学报(自然科学版)》2024年第4期347-352,共6页潘梦琪郭锦; 国家自然科学基金项目(11961017);海南省自然科学基金高层次人才项目(122RC543)。; 研究了shifted复形的遗传顶点可分解性和shifted图的可实现性.给出了shifted复形在严格expension和严格blow-up运算上保持shifted性的充要条件,并证明了shifted图在无交并与粘合运算下保持shifted性的等价刻画.; 关键词：shifted EXPANSION BLOW-UP 粘合无交并

An Attempt at Axiomatization of Extending Mechanism of Solutions to the Fluid Dynamical Systems: 《Chinese Annals of Mathematics,Series B》2024年第6期957-970,共14页Jinkai LI Meng WANG Wendong WANG; supported by the National Natural Science Foundation of China(Nos.12371204,12371100,12071054);the Key Project of National Natural Science Foundation of China(No.12131010);the National Support Program for Young Top-Notch Talents and Dalian High-level Talent Innovation Project(No.2020RD09).; Note that some classic fluid dynamical systems such as the Navier-Stokes equations, Magnetohydrodynamics (MHD for short), Boussinesq equations and etc., are observably different from each other but obey some energy in...; 关键词：Interpolation inequalities of Besov type Blow-up criteria Navier-Stokes equations

Blow-Up and Decay Estimate in a Logarithmic p-Laplace Parabolic Equation: 《Chinese Quarterly Journal of Mathematics》2024年第4期331-354,共24页LI Ping LI Feng-jie; Supported by Shandong Provincial Natural Science Foundation of China(Grant No.ZR2021MA003).; This paper deals with an initial-boundary value problem of a fourth-order parabolic equation involving Logarithmic type p-Laplacian,which could be proposed as a model for the epitaxial growth of thin films.By using th...; 关键词：High order parabolic equation Blow-up time Decay estimate Global existence Logarithmic type p-Laplacian

ON THE CAUCHY PROBLEM FOR THE GENERALIZED BOUSSINESQ EQUATION WITH A DAMPED TERM: 《Acta Mathematica Scientia》2024年第5期1766-1786,共21页Xiao SU Shubin WANG; supported by the National Natural Science Foundation of China(12301272);the Natural Science Foundation of Henan(202300410109);the Cultivation Programme for Young Backbone Teachers in Henan University of Technology,and the Innovative Funds Plan of Henan University of Technology(2020ZKCJ09).; This paper is devoted to the Cauchy problem for the generalized damped Boussinesq equation with a nonlinear source term in the natural energy space.With the help of linear time-space estimates,we establish the local e...; 关键词：damped Boussinesq equation Cauchy problem global solutions BLOW-UP

Blown Film Extrusion Process for Polybags: Technical Overview and Applications: 《Advances in Chemical Engineering and Science》2024年第4期188-201,共14页Sunil Badgujar Sudeep Asthana Ravindra Kanawade Krunal Suthar Ankit Solanki Karuppiah Nagaraj Mahaveer Singh Bilkhu Harekrushna Sutar Swapna Rekha Panda; The choice of extrusion process is a decisive factor that affects the finished product quality for polybag manufacturing. One important component influencing the quality of the finished product is the selection of the...; 关键词：LLDPE Melt Flow Index Blow-Up Ratio Lay-Flat Width Draw-Down Ratio

Global and Nonglobal Solutions for Pseudo-Parabolic Equation with Inhomogeneous Terms: 《Journal of Partial Differential Equations》2024年第3期295-308,共14页YANG Chunxiao FAN Jieyu GAO Miao; Supported by the National Natural Science Foundation of China(Grant No.11501438).; This paper considers the Cauchy problem of pseudo-parabolic equation with inhomogeneous terms u_(t)=△u+k△u_(t)+w(x)u^(P)(x,t).In[1],Li et al.gave the critical Fujita exponent,second critical exponent and the life sp...; 关键词：Pseudo-parabolic equation critical Fujita exponent global solutions BLOW-UP

Stabilization and Blow-up in an Infinite Memory Wave Equation with Logarithmic Nonlinearity and Acoustic Boundary Conditions: 《Journal of Systems Science & Complexity》2024年第4期1368-1391,共24页PENG Qingqing ZHANG Zhifei; supported by the National Science Foundation of China under Grant No.61473126。; In this paper,the authors consider the stabilization and blow up of the wave equation with infinite memory,logarithmic nonlinearity and acoustic boundary conditions.The authors discuss the existence of global solution...; 关键词：Acoustic boundary condition finite time blow-up general decay infinite memory logarithmic nonlinearity

Formation of Singularity for Compressible Euler Equations Outside a Ball in 3-D: 《Journal of Mathematical Study》2024年第2期223-229,共7页Mengxuan Li Jinbo Geng; partially supported by NSFC(Grant No.12271487).; The initial boundary value problem for a compressible Euler system out-side a ball in R^(3)is considered in this paper.Assuming the initial data have small and compact supported perturbations near a constant state,we ...; 关键词：Compressible Euler equations exterior domain BLOW-UP impermeable boundary condition

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