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具Sobolev-Galpern型湿气迁移方程解的渐近性和Blow-up
Asymptotic Behavior and Blow-up of Solution for a Class of Sobolev-Galpern Type Nonlinear Pseudoparuations
【摘要】 本文在文献[1,2,3,4,6]的基础上,对具有Sobolev-Galpern型土壤中湿气迁移方程和更一般的非线性拟抛物型方程的初边值问题,在其解存在唯一的条件下,利用文献[5,7]的方法,深入探讨了相应问题解的渐近性和爆破现象,得到了许多新结果.
【Abstract】 In this paper, we obtain a necessary and a sufficient conditions of asymptotic behavior and blow-up of solution foe a class of Sobolcv-Galpern type equations. Using r.s.e [1- 7] of pseudoparabolic equations is discussed the existence, uniqueness of solution and Lp-integal model estimation methods.
【关键词】 非线性;
Sobolev-Galpern型;
迁移方程;
解的渐近行为和爆破;
【Key words】 Nonlinear; Sobolev-Galpern type; Pseudoparabolic equation; Asymptotic behavior and Blow-up;
【Key words】 Nonlinear; Sobolev-Galpern type; Pseudoparabolic equation; Asymptotic behavior and Blow-up;
【基金】 四川省教委重点科研项目基金资助(2000012)
- 【文献出处】 生物数学学报 ,Journal of Biomathematics , 编辑部邮箱 ,2002年03期
- 【分类号】O175
- 【被引频次】12
- 【下载频次】52