临界阻尼情形 critically damped case
The existence and non-existence of global solutions is established. It is shown that for the critical case, the existence or non-existence of global solutions depends on the size of the domain.
另外,还讨论了一类具对流项的非线性扩散方程组解的整体存在性与不存在性,特别是在临界情形下,给出了区域的大小对解的整体存在性和不存在性的量化估计。
参考来源 - 关于多重耦合非线性抛物型方程组的几个问题·2,447,543篇论文数据，部分数据来源于NoteExpress
研究的目的是要找到非线性系统在临界情形下的稳定性控制算法。
Purpose of this paper is to obtain control algorithms for stability of nonlinear systems in critical cases.
然后详细讨论了原有近似下非线性效应与色散效应不能平衡的两种临界情形。
Then we examine in detail two critical cases, in which the nonlinear effect and dispersion effect could not balance under the original approximation.
讨论了第一临界情形下的平面三次系统高次奇点的局部拓朴结构，并给出利用多项式系数的判断准则。
This paper discuss the locally topological structure of higher order singular point for the plane cubic system in the first critical case and give a criterion by the coefficients of polynomials.
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