Long-time behavior of solutions to free boundary problems modeling tumor evolution [0.03%]
自由边界问题的长期行为肿瘤演化模型解
Xuming Xie,Lubna Kadhim
Xuming Xie
In this paper, we consider some free boundary problems that arise in the mathematical modeling of cancer and its treatment. In these models, a parameter η is introduced to represent either the killing rate of the cancer cells by the T cell...
WELL-POSEDNESS OF A MATHEMATICAL MODEL OF DIABETIC ATHEROSCLEROSIS WITH ADVANCED GLYCATION END-PRODUCTS [0.03%]
含晚期糖基化终产物的糖尿病动脉粥样硬化数学模型的适定性研究
Xuming Xie
Xuming Xie
Atherosclerosis is a leading cause of death worldwide; it emerges as a result of multiple dynamical cell processes including hemodynamics, endothelial damage, innate immunity and sterol biochemistry. Making matters worse, nearly 463 million...
Discontinuous Galerkin isogeometric analysis for segmentations generating overlapping regions [0.03%]
用于生成重叠区域的分割的不连续伽辽金等几何分析
Christoph Hofer,Ioannis Toulopoulos
Christoph Hofer
In the Isogeometric Analysis (IGA) framework, the computational domain has very often a multipatch representation. The multipatch domain can be obtained by a volume segmentation of a boundary represented domain, e.g. provided by a Computer ...
Guoping Zhang,Mingchao Cai
Guoping Zhang
In this paper, we study the normal mode solutions of 3D incompressible viscous fluid flow models. The obtained theoretical results are then applied to analyze several time-stepping schemes for the numerical solutions of the 3D incompressibl...
Space-time finite element methods stabilized using bubble function spaces [0.03%]
基于气泡函数空间的时空有限元稳定化方法
Ioannis Toulopoulos
Ioannis Toulopoulos
In this paper, a stabilized space-time finite element method for solving linear parabolic evolution problems is analyzed. The proposed method is developed on a base of a space-time variational setting, that helps on the simultaneous and uni...
[This corrects the article DOI: 10.1080/00036811.2018.1495330.]. © 2018 Informa UK Limited, trading as Taylor & Francis Group.
Published Erratum
Applicable analysis. 2018 Aug 1;99(3):548. DOI:10.1080/00036811.2018.1505361 2018
A second-order dynamical approach with variable damping to nonconvex smooth minimization [0.03%]
具有变量阻尼的非凸平滑最小化问题的二阶动力学方法
Radu Ioan Boţ,Ernö Robert Csetnek,Szilárd Csaba László
Radu Ioan Boţ
We investigate a second-order dynamical system with variable damping in connection with the minimization of a nonconvex differentiable function. The dynamical system is formulated in the spirit of the differential equation which models Nest...
A discontinuous Poisson-Boltzmann equation with interfacial jump: homogenisation and residual error estimate [0.03%]
一个具有界面跳跃的不连续Poisson-Boltzmann方程：整体化和剩余误差估计
Klemens Fellner,Victor A Kovtunenko
Klemens Fellner
A nonlinear Poisson-Boltzmann equation with inhomogeneous Robin type boundary conditions at the interface between two materials is investigated. The model describes the electrostatic potential generated by a vector of ion concentrations in ...
G E Hernandez
G E Hernandez
"In this paper we study the behavior of the solutions of the Gurtin-MacCamy model for the dynamics of populations with [spatial] diffusion and age-dependence. We give sufficient conditions on the birth and death modules for the population t...