排序方式: 共有7条查询结果,搜索用时 31 毫秒
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In this paper, we study the low Mach number limit of a compressible nonisothermal model for nematic liquid crystals in a bounded domain. We establish the uniform estimates with respect to the Mach number, and thus prove the convergence to the solution of the incompressible model for nematic liquid crystals. 相似文献
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In this paper we prove the local well-posedness of strong solutions to a chemotaxisshallow water system with initial vacuum in a bounded domainΩ■R2without the standard compatibility condition for the initial data.This improves some results obtained in[J.Differential Equations 261(2016),6758-6789]. 相似文献
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一个带非局部源的反应扩散方程组解的存在性和渐近性态 总被引:5,自引:0,他引:5
本文研究带非局部源的半线性反应扩散方程组,并通过建立比较定理,利用Schauder不动点定理证明古典解的存在唯一性,得到了解的爆破点集与解的渐近性态. 相似文献
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This paper deals with reaction-diffusion system with nonlocal source. It is proved that there exists a unique classical solution and the solution either exists globally or blows up in finite time. Furthermore, its blow-up set and asymptotic behavior are obtained provided that the solution blows up in finite time. 相似文献
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栗付才 《数学物理学报(A辑)》2008,28(6):1187-1193
该文研究光滑有界区域Ω( RN (N≥ 1) 上具有齐次Dirichlet边界条件的拟线性退化抛物型方程组
ut-div(|▽u|p-2 ▽u) =avα, vt-div(|▽v|q-2 ▽v) =buβ
的非负解的性质, 其中p, q>2, α, β ≥ 1, a, b> 0是常数. 该文指出上述方程组的解是否在有限时刻爆破依赖于初值、系数 a 与 b以及 αβ 和 (p-1)(q-1)之间的关系. 相似文献
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