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In this paper, we investigate the large time behavior to the Cauchy problem of degenerate and singular parabolic equations. Firstly, we establish the secondary critical exponent on the decay asymptotic behavior of an initial value at infinity. Secondly, we give the large time behavior of the global solution. Finally, the precise estimate of life span for the blow-up solution is obtained.  相似文献
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This paper deals with coupled nonlinear diffusion equations with absorptions. We characterize the range of parameters for which non-simultaneous blow up occurs. We establish the necessary and sufficient conditions for the occurrence of non-simultaneous blow up with proper initial data. Moreover, we obtain the optimal condition under which any blow up is non-simultaneous.  相似文献
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In this paper, we establish the critical global existence exponent and the critical Fujita exponent for the nonlinear diffusion equation ut=(logσ(1+u)ux)x, in R+×(0,+), subject to a logarithmic boundary flux , furthermore give the blow-up rate for the nonglobal solutions.  相似文献
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This paper deals with the critical curves of the fast diffusive polytropic filtration equations coupled via nonlinear boundary flux. By constructing self-similar super and sub solutions we obtain the critical global existence curve. The critical curve of Fujita type is conjectured with the aid of some new results.   相似文献
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本文我们首先找到了有限行波解,然后研究了具有强吸收项的非Newtonian扩散方程交界面的短时间行为. 我们将表明交界面的短时间行为依赖于初始浓度, 准确的说,找到了初始浓度的一个临界值,用它可区分交界面是热前面还是冷前面.  相似文献
6.
This paper deals with the critical curve for a nonlinear boundary value problem of a fast diffusive non-Newtonian system. We first obtain the critical global existence curve by constructing the self-similar supersolution and subsolution. And then the critical Fujita curve is conjectured with the aid of some new results.  相似文献
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In this paper, we deal with a fast diffusive polytropic filtration equation
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This paper deals with the critical curves of the fast diffusive polytropic filtration equations coupled via nonlinear boundary flux. By constructing self-similar super and sub solutions we obtain the critical global existence curve. The critical curve of Fujita type is conjectured with the aid of some new results.  相似文献
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