摘要
对一类反应扩散方程组利用变量变换的方法得到与其具有同解性的热传导方程。在一定假设条件下,研究热传导方程解的性质,再由紧性得到满足原假设的解的收敛序列,从而得到热传导方程解的存在性与惟一性。借助于方程与方程组的同解性,最终得到反应扩散方程组解的存在惟一性。
In this paper, through studing a reaction diffusion system, we obtain the heat conduction equation which has the same solution to the reaction diffusion system by changing variables. First, under the weaker supose, we study the properties of the solution to heat conduction equation. By comoutness it exists a convergent subsequence when satisfying the original suppose, so we draw the conclusion about the existence and uniqueness of solution to the equation. Finally, we obtain the existence and uniqueness of solution to the original reaction diffussion system depending on same solution.
出处
《黑龙江工程学院学报》
CAS
2009年第1期76-78,共3页
Journal of Heilongjiang Institute of Technology
基金
黑龙江省教育厅科学技术研究资助项目(11531426)
关键词
反应扩散方程组
热传导方程
存在性
惟一性
system of reaction diffusion
heat conduction equation
existence
uniqueness