共查询到20条相似文献,搜索用时 31 毫秒
1.
Fengjie Li Bingchen Liu Sining Zheng 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2007,24(10):717-735
This paper deals with simultaneous and non-simultaneous blow-up for heat equations coupled via nonlinear boundary fluxes
\frac?u?h = um + vp, \frac?v?h = uq + vn\frac{\partial u}{\partial\eta} = u^{m} + v^{p}, \frac{\partial v}{\partial\eta} = u^{q} + v^{n} 相似文献
2.
Norimichi Hirano 《NoDEA : Nonlinear Differential Equations and Applications》2009,16(2):159-188
In this paper, we consider the multiple existence of nonradial positive solutions of coupled nonlinear Schr?dinger system
3.
Our first basic model is the fully nonlinear dual porous medium equation with source
4.
The paper deals with the radially symmetric solutions of ut=Δu+um(x,t)vn(0,t), vt=Δv+up(0,t)vq(x,t), subject to null Dirichlet boundary conditions. For the blow-up classical solutions, we propose the critical exponents for non-simultaneous blow-up by determining the complete and optimal classification for all the non-negative exponents: (i) There exist initial data such that u (v) blows up alone if and only if m>p+1 (q>n+1), which means that any blow-up is simultaneous if and only if m≤p+1, q≤n+1. (ii) Any blow-up is u (v) blowing up with v (u) remaining bounded if and only if m>p+1, q≤n+1 (m≤p+1, q>n+1). (iii) Both non-simultaneous and simultaneous blow-up may occur if and only if m>p+1, q>n+1. Moreover, we consider the blow-up rate and set estimates which were not obtained in the previously known work for the same model. 相似文献
5.
This paper deals with the existence and stability properties of positive weak solutions to classes of nonlinear systems involving
the (p,q)-Laplacian of the form
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