高阶广义KdV－Burgers方程解的存在性与收敛性

本文讨论高阶广义ＫｄＶ－Ｂｕｒｇｅｒｓ方程μ１＋Ｄｆ（μ）＋δＤ２ｎ＋１μ＝εＤ２ｕ初值问题解的存在性与收敛性，这里     

Initial value problem for high dimensional dynamic systems

ＩＮＩＴＩＡＬＶＡＬＵＥＰＲＯＢＬＥＭＦＯＲＨＩＧＨＤＩＭＥＮＳＩＯＮＡＬＤＹＮＡＭＩＣＳＹＳＴＥＭＳＺｈｕＣｈａｎｇ－ｊｉａｎｇ（朱长江）（Ｉｎｓｔ．ｏｆＭａｔｈ．Ｓｃｉｓ．,ＡｃａｄｅｍｉａＳｉｎｉｃａ,Ｗｕｈａｎ４３００７１）（Ｒｅｃｅｉｖｅｄ...     

DECAY RATES AND CONVERGENCE OF SOLUTIONS TO SYSTEM OP ONE-DIMENSIONAL VISCOELASTIC MODEL WITH DAMPING

This paper considers the asymptotic behavior of solutions to the system of one-dimensional viscoelastic model with damping and prove that the corresponding solutions time-asymptotically behave like nonlinear diffusion wave as in [4,11]. In addition, It is also shown that the system of one-dimensional viscoelastic model with damping is a viscosity approximation of a hyperbolic conservation laws with damping.     

GLOBAL SOLUTIONS TO A HYPERBOLIC-PARABOLIC COUPLED SYSTEM WITH LARGE INITIAL DATA

This paper is concerned with the existence of global solutions to the Cauchy problem of a hyperbolic-parabolic coupled system with large initial data. To this end, we first construct its local solutions by the standard iteration technique, then we deduce the basic energy estimate by constructing a convex entropy-entropy flux pair to this system. Moreover, the L∞-estimates and H^2-estimates of solutions are obtained through some delicate estimates. In our results, we do not ask the far fields of the initial data to be equal and the initial data can be arbitrarily large which generalize the result obtained in [7].     

THE CAUCHY PROBLEMS FOR HIGH DIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS

ＴＨＥＣＡＵＣＨＹＰＲＯＢＬＥＭＳＦＯＲＨＩＧＨＤＩＭＥＮＳＩＯＮＡＬＱＵＡＳＩＬＩＮＥＡＲＨＹＰＥＲＢＯＬＩＣＳＹＳＴＥＭＳ￥ＺｈｕＣｈａｎｇｊｉａｎｇ（朱长江）（ＹｏｕｎｇＳｃｉｅｎｔｉｓｔｓＬａｓｏｆａｔｏｒｙｏｆＷｕｈａｎＩｎｓｔ．ｏｆＭａｔ...     

带粘性的非齐次二次2×2双曲守恒律方程组解的存在性与渐近性

的研究是很有意义的.因为(1.3)式的解可以在一个孤立点的邻域,逼近一个在此孤立点为非严格双曲的一般2×2守恒律组的解.Schaeffer,D.G.与 Shearer,M.在文[8]中证明了当方程组(1.3)是双曲型时,存在一个非奇异的线性变换将(1.3)式变成标准形式     

芳香族伯胺的极谱法研究及应用于食品分析

本文报道了芳香族伯胺的重氮－偶氮化反应所生成的偶氮化合物在ＮＨ＿３·Ｎ＿２Ｏ－ＮＨ＿４Ｃｌ底液中，在单扫描极谱上，峰电位－０．５８Ｖ（ｖｓ．ＳＣＥ）处产生灵敏的导数波。比较了芳胺取代基的种类和位置对极谱波灵敏度的影响，探讨了极谱波的性质和电极反应机理。用该法测定了软包装食品袋内模拟食品中４－甲基苯二胺－［１，３］的含量，结果满意。