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CRITICAL EXPONENTS FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX
Yongsheng Mi,Chunlai Mu,Botao Chen 대한수학회 2011 대한수학회지 Vol.48 No.3
The paper deals with the degenerate parabolic system with nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence curve. The critical Fujita curve is conjectured with the aid of some new results.
BLOW-UP RATE ESTIMATES FOR A SYSTEM OF REACTION-DIFFUSION EQUATIONS WITH ABSORPTION
Xiang, Zhaoyin,Chen, Qiong,Mu, Chunlai Korean Mathematical Society 2007 대한수학회지 Vol.44 No.4
In this note, we consider a system of two reaction-diffusion equations with absorption, under homogeneous Dirichlet boundary. Using scaling methods, we establish the blow-up rate estimates.
Blow-up rate estimates for a system of reaction-diffusion equations with absorption
Zhaoyin Xiang,Qiong Chen,Chunlai Mu 대한수학회 2007 대한수학회지 Vol.44 No.4
In this note, we consider a system of two reaction-diusionequations with absorption, under homogeneous Dirichlet boundary. Usingscaling methods, we establish the blow-up rate estimates.
CRITICAL EXPONENTS FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX
Mi, Yongsheng,Mu, Chunlai,Chen, Botao Korean Mathematical Society 2011 대한수학회지 Vol.48 No.3
The paper deals with the degenerate parabolic system with nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence curve. The critical Fujita curve is conjectured with the aid of some new results.
Bingsheng Liu,Xueqing Wang,Chunlai Chen,Zhijie Ma 대한토목학회 2014 KSCE JOURNAL OF CIVIL ENGINEERING Vol.18 No.1
The Communist Party of China proposed the concept of “speeding up the industrial transformation and changing economic development mode” in its 17th Congress. Against this background, it is of more practical significance to analyze problems existing in the development of China’s regional construction industry and to make specific development strategies. Traditional researches into the industrial competitiveness mainly focus on the static analysis of several regions during the same period. However, the formation of industrial competitiveness is essentially a dynamic process. To evaluate the industrial competitiveness objectively and comprehensively,we comb relevant literatures about the competitiveness of the construction industry, and construct an evaluation indicator system of the competitiveness of China’s regional construction industry. Subsequently, we use PLS path model to evaluate the competitiveness of China’s construction industry from 2005 to 2008. Later we depict the dynamic development process of the competitiveness of construction industry, analyze advantages and disadvantages, and provide some suggestions. It can be concluded that 8 provinces have significantly improved their competitiveness, the competitiveness of 11 provinces have declined, and the remaining 10provinces have remained constant. This research has achieved a theoretical and method innovation in the evaluation of industrial competitiveness from the time dimension.