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Blow-up of nonnegative radial solutions for a family of parabolic equation s in bounded domain in RN

其中a，b不同时为0直线的一般式方程能够表示坐标平面内的任何直线。

In this paper, we consider the approximate controllability of the following semilinear parabolic systemwhere Rn be an open and bounded domain with a C2 smooth boundary , and be a nonempty open subset.

本文考虑了如下半线性抛物系统的逼近能控性其中，Ω是R~n中的一个有界开子集，其边界？

The reference domain is assumed to be a bounded open set of R~N with boundary Γ of class C~2. We investigate in this paper the null controllability for the semilinear parabolic equations in non-cylindrical domains. The fixed point method is used in the proof.

本文讨论了定义在上述非柱形区域中的半线性抛物方程零能控性，我们使用的方法主要是通过同胚映射将非柱形区域中的抛物方程转化为柱形区域中的抛物方程，再利用不动点方法得到半线性抛物方程的有关结果。

A Cassegrain optical antenna with parabolic structure is designed.

设计了具有抛物面结构的卡塞格伦光学天线。

Utilizing the tools of conformal mapping and Cauchy integral formula and so on, the SIFs at the crack tips are obtained, which can be reduced to the known results under the condition of limitation; For the third and the fourth section, the problems of arc crack and parabolic crack are researched in one dimensional hexagonal QCs.

第二节研究了一维六方准晶狭长体中双半无限共线裂纹问题，利用保角变换以及Cauchy积分公式等工具求得了裂尖处的应力强度因子，在极限的情况下可以还原为若干已有的结果。

This paper is devoted to the Cauchy problem of the degenerate quasilinear parabolic systems with p-Laplace operator in the principal part.

本文研究一类主部是m-Laplace算子的拟线性退化抛物方程组的Cauchy问题。

Then the reflected shock wave produced by the parabolic reflector in resonator cavity frequently penetrated the flame, which led to continuous flame excitation.

共振腔抛物面的不同形状引起激波聚焦位置的变化，会影响激波和火焰的相互作用，使起爆提前或推迟，甚至不起爆。

The parabolic mirror reflected a circular ranging ring which was adjustable to various diameters representing various wingspans.

抛物面镜反射一个圆形的测距环，测距环可以依据不同的翼展来调节不同的直径。

In addressing the more elementary spherical constructions, the background pertaining to classical groups includes basic results about quadratic forms, alternating forms, and hermitian forms on vector spaces, plus a description of parabolic subgroups as stabilizers of flags of subspaces.

In解决更多的中球形建筑研究所需要的群体，经典的背景有关团体，包括基本的结果对二次形式，交流形式以及向量空间埃尔米特形式，再加上作为稳定剂的子空间旗抛物子群的描述。

The wave field is calculated by the parabolic mild slope equation and the wave radiation stress is regarded as the major factor to establish the mathematical model for simulating the coastwise current due to wave action based on the depth-averaged shallow water equation.

利用抛物型缓坡方程计算波浪场，并以波浪辐射应力为近岸动力因素，建立深度平均的二维近岸流的控制方程。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。