Existence and Nonexistence of Global Solution for Quasilinear Parabolic Equation

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒ，ｗｅｓｔｕｄｙｔｈｅｅｘｉｓｔｅｎｃｅａｎｄｎｏｎｅｘｉｓｔｅｎｃｅｏｆｇｌｏｂａｌｐｏｓｉｔｉｖｅｓｏｌｕｔｉｏｎｓｏｆｔｈｅｆｏｌｌｏｗｉｎｇｑｕａｓｉｌｉｎｅａｒｐａｒａｂｏｌｉｃｅｑｕａｔｉｏｎｓｗｉｔｈｎｏｎ－ｌｉｎｅａｒｂｏｕｎｄａｒｙｃｏｎｄｉｔｉｏｎｓ：ｕｔ＝１ｍ△ｕｍ－ｕｎ，　　　ｘ∈Ω，ｔ＞０１ｍ·ｕｍγ＝ｕｐ，ｘ∈Ω，ｔ＞０（１）ｕ（ｘ，０）＝ｕ０（ｘ）＞０，ｘ∈Ω－ｗｈｅｒｅｎ，ｍ，ｐａｒｅｐｏｓｉｔｉｖｅｃｏ…     

一种基于脉冲噪声的新型迭代滤波算法

在局部极值噪声检测和迭代中值滤波的基础上,基于图像结构和脉冲噪声的特征分析,有效结合局部极值检测和幅度差阈值、梯度差阈值的检测方法,提出了一种基于噪声检测的迭代脉冲噪声滤除算法.并通过仿真实验和算法评价,验证了该算法不仅能够达到很好的去噪效果,而且在保留图像细节信息方面也取得了一定的成效.     

一种基于Eno-Haar小波变换二维遗传算法

A two-dimensional genetic algorithm of wavelet coefficient is presented by using the ENO wavelet transform and the decomposed characterization of the two-dimensional Haar wavelet.And simulated by the ENO interpolation the article shows the affectivity and the superiority of this algorithm.     

MAXIMAL ATTRACTORS FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS OF VISCOUS AND HEAT CONDUCTIVE FLUID

This article is concerned with the existence of maximal attractors in Hi(i=1,2,4) for the compressible Navier-Stokes equations for a polytropic viscous heat conduc-tive ideal gas in bounded annular domains Ωn in Rn(n =2,3).One of the important features is that the metric spaces H(1),H(2),and H(4) we work with are three incomplete metric spaces,as can be seen from the constraints θ0 and u0,with θ and u being absolute temperature and specific volume respectively.For any constants δ1,δ2,···,δ8 verifying some conditions,a sequence of closed subspaces Hδ(i)H(i)(i = 1,2,4) is found,and the existence of maximal(universal) attractors in Hδ(i)(i = 1,2,4) is established.     

GLOBAL EXISTENCE OF SMOOTH SOLUTION FOR BOLTZMANN-POISSON SYSTEM WITH SMALL DATA

1IntroductionThebasicequationinsemiconductorkinetictheoryistheBoItzmannEquation.Iftherelevantphysicsconstantsaretakenasone,theBoltzmannEquationin3D,undertheattractforce,canbewrittenas:o,f vV.f-E.V.f=Q(f),xER',vER',t>o,(1.1)wheref(t,x,v)isadistributionfunction,itrepresentsthefractionofoccupiedstatesattimetE[o,oo),atthepoint(x,v)eR'xR3oftheposition-velocityspace.E(f,x)ER'istheelectricfield-IfthepotentialcorrespondingtotheelectricfieldE(f,x)isdenotedbyV(t,x),thenAndV(t,x)satisfiesthePoi…