Sci Math | Shigesada-Kawasaki-Teramoto model on higher dimensional domains

Sci Math

Article Contents

1. Titles

2. Authors

Shigesada-Kawasaki-Teramoto model on higher dimensional domains

Authors: Lê Dũng, Nguyễn Việt Linh, Nguyễn Trọng Toán (Nguyen T. Toan),

http://www.emis.de/journals/EJDE/2003/72/le.pdf

Publisher, magazine: ,

Publication year: 2003

Lưu Trích dẫn

Abstract

We investigate the existence of a global attractor for a class of triangular cross diffusion systems in domains of any dimension. These systems includes the Shigesada-Kawasaki-Teramoto (SKT) model, which arises in population dynamics and has been studied in two dimensional domains. Our results apply to the (SKT) system when the dimension of the domain is at most 5.

Tags: Cross diffusion systems, global attractors

Trở lại

Các bài viết liên quan đến tác giả Lê Dũng

Coupling the Banach contraction mapping principle and the proximal point algorithm for solving monotone variational inequalities

Implementable quadratic regularization methods for solving pseudomonotone equilibrium prob\-lems.

Bilinear programming approach to optimization over the efficient set of a vector affine fractional problem

On the construction of initial polyhedral convex set for optimization problems over the efficient set and bilevel linear programs

Biconvex programming approach to optimization over the weakly efficient set of a multiple objective affine fractional problem

Using the Banach contraction principle to implement the proximal point method for multivalued monotone variational inequalities

Lagrangian duality algorithms for finding a global optimal solution to mathematical programs with affine equilibrium constraints

A convex-concave programming method for optimizing over the efficient set

Simplicially-constrained DC optimization over efficient and weakly efficient sets

Branch-and-bound variant of an outcome-based algorithm for optimizing over the efficient set of a bicriteria linear programming problem