Global martingale solutions to stochastic population-toxicant model with cross-diffusion

被引：2
|
作者：
Du, Yanyan [1 ]
Ye, Ming [2 ,3 ]
Zhang, Qimin [1 ]
机构：
[1] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
[2] Florida State Univ, Dept Earth Ocean Atmospher Sci, Tallahassee, FL 32306 USA
[3] Florida State Univ, Dept Sci Comp, Tallahassee, FL 32306 USA
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 145卷
基金：
中国国家自然科学基金;
关键词：
Martingale solutions; Galerkin approximation; Population-toxicant model; Cross-diffusion;
D O I：
10.1016/j.aml.2023.108721
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop a stochastic population-toxicant model with cross -diffusion and study the local boundedness of strong solutions. The existence of global martingale solution is obtained in a Hilbert space by Galerkin approximation method, the tightness criterion and the energy estimation.& COPY; 2023 Elsevier Ltd. All rights reserved.
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