期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021; 31 (07)
In this work, we rigorously study chemotaxis effect versus haptotaxis effect on boundedness, blow-up and asymptotical behavior of solutions for a chem......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021; 31 (03)
We develop a method to compute effectively the Young measures associated to sequences of numerical solutions of the compressible Euler system. Our app......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021; 31 (03)
We study one-dimensional Eulerian dynamics with nonlocal alignment interactions, featuring strong short-range alignment, and long-range misalignment. ......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021; 31 (06)
We present a uniform-in-time (and in particle numbers as well) error estimate for the random batch method (RBM) [S. Jin, L. Li and J.-G. Liu, Random b......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021; 31 (03)
This paper is concerned with a spatially two-dimensional version of a chemotaxis system with logistic cell proliferation and death, for a singular tac......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021; 31 (05)
In this work, we consider the two-species chemotaxis system with Lotka-Volterra competitive kinetics in a bounded domain with smooth boundary. We cons......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021; 31 (08)
In this paper, we present the H(curl(2))-conforming virtual element (VE) method for the quad-curl problem in two dimensions. Based on the idea of de R......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021; 31 (03)
Coronavirus Disease 2019 (COVID-19) is a zoonotic illness which has spread rapidly and widely since December, 2019, and is identified as a global pand......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021; 31 (02)
The z-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field w......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2020; 30 (4)
We present a stochastic Justh-Krishnaprasad flocking model describing interactions among individuals in a planar domain with their positions and headi......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2020; 30 (7)
Starting with this paper, we intend to develop a program aiming at construction of boundary conditions (BCs) for hyperbolic relaxation systems. Physic......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2020; 30 (7)
The diffusion of cells in a viscous incompressible fluid (e.g. water) may be viewed like movement in a porous medium and there is a bidirectorial oxyg......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2020; 30 (7)
This paper concerns with the global existence and boundedness of classical solution of the higher-dimensional forager-exploiter model with homogeneous......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2020; 30 (14)
The z-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field w......
期刊： MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2020; 30 (14)
An adaptive edge element method is designed to approximate a quasilinear H(curl)-elliptic problem in magnetism, based on a residual-type a posteriori ......
