BLOW-UP SOLUTIONS FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS WITH MIXED BOUNDARY CONDITIONS

The type of problem under consideration is where D is a smooth bounded domain of RN, q = |(?)u|2. By constructing an auxiliary function and using Hopf's maximum principles on it, existence theorems of blow-up solutions, upper bound of "blow-up time" and upper estimates of "blow-up rate" are given under suitable assumptions on a, b, f, g, σand initial date U0(X). The obtained results are applied to some examples in which a, b, f, g and σare power functions or exponential functions.     

四十年来苏联科学发展的成就

四十年前,革命的“阿芙乐尔”号巡洋舰一声炮响向世界宣布,第一个政权属于劳动人民的国家诞生了。它向世界宣布,在人类历史上开始了帝国主义崩溃和新的社会主义社会诞生的新纪元。过去的四十年令人信服地表明了社会主义制度优于资本主义制度。落后的农业俄国打败了那些妄想堵塞资本主义体系中已经产生的缺口,即消灭苏维埃国家的许多国家,经过极短的历史时期,变成了强大的社     

正戊醇及正庚醇的黏度及密度与温度的关系

在文献中有关正戊醇及正庚醇黏度特性的记载为数不多,要根据现有的实验数据来确定黏度与温度的关系是相当困难的。本工作的目的即是在比较大的温度范围内测定上述两个醇的黏度及密度,并推求实验数据的经验方程式。本实验所用的正戊醇系将市售最纯品加氧化钙干燥、精馏而得,其沸点范围是135.0—135.5℃(721.5毫米汞柱);正庚醇系按照[4]中所记载的方法由还原正庚醛     

技术的进步和計算機

計算技术日益成为保証技术迅速发展的重要因素。現代快速电子計算机的計算速度,比使用电动計算机——即在十年前还曾是最完善的技术工具——的熟练的計算員要快上几千倍、几万倍。 現代計算机的特点不仅在于数量上大大地縮短了計算的时間,而是它使得計算方法在科学研究和技术設計中有了性貭上与前不同的新的作用。在陈旧的計算技术中,时間的因素使进行計算工作的实际可能性受到了极大的限制。所以在大多数的科学和技术领域里。采用計算的方法时,所研究的客观过程总是被簡化了的,而且常常是大大簡化了的。因此在进行技术設計时,計算的結果仅用来对研究对     

罗马尼亚人民共和国的医学研究

由於我們偉大的科学家V.巴貝士、G.馬列尼斯庫、I.康泰庫齊諾、T.伊奥尼斯庫、C.李花廸蒂、I.阿泰納修、C.I.巴洪、D.達尼洛坡魯等人遺留和發揚的悠久的唯物主義者的傳統,以及人民民主政权所供給的有利的條件,羅馬尼亞的医学在近年來已經獲得顯著的進展。在巴甫洛夫生理学的影响下,医学在羅馬尼亞人民共和國已經擺脫了反動的局部器官的观念和腐朽的孟德爾—摩爾根的概念,日益具有現实主義科学的特性,並且面向廣大群众当前的要求     

Morphological differences between Saturn's ultraviolet aurorae and those of Earth and Jupiter

It has often been stated that Saturn's magnetosphere and aurorae are intermediate between those of Earth, where the dominant processes are solar wind driven, and those of Jupiter, where processes are driven by a large source of internal plasma. But this view is based on information about Saturn that is far inferior to what is now available. Here we report ultraviolet images of Saturn, which, when combined with simultaneous Cassini measurements of the solar wind and Saturn kilometric radio emission, demonstrate that its aurorae differ morphologically from those of both Earth and Jupiter. Saturn's auroral emissions vary slowly; some features appear in partial corotation whereas others are fixed to the solar wind direction; the auroral oval shifts quickly in latitude; and the aurora is often not centred on the magnetic pole nor closed on itself. In response to a large increase in solar wind dynamic pressure Saturn's aurora brightened dramatically, the brightest auroral emissions moved to higher latitudes, and the dawn side polar regions were filled with intense emissions. The brightening is reminiscent of terrestrial aurorae, but the other two variations are not. Rather than being intermediate between the Earth and Jupiter, Saturn's auroral emissions behave fundamentally differently from those at the other planets.     

Disruption of Bardet-Biedl syndrome ciliary proteins perturbs planar cell polarity in vertebrates

The evolutionarily conserved planar cell polarity (PCP) pathway (or noncanonical Wnt pathway) drives several important cellular processes, including epithelial cell polarization, cell migration and mitotic spindle orientation. In vertebrates, PCP genes have a vital role in polarized convergent extension movements during gastrulation and neurulation. Here we show that mice with mutations in genes involved in Bardet-Biedl syndrome (BBS), a disorder associated with ciliary dysfunction, share phenotypes with PCP mutants including open eyelids, neural tube defects and disrupted cochlear stereociliary bundles. Furthermore, we identify genetic interactions between BBS genes and a PCP gene in both mouse (Ltap, also called Vangl2) and zebrafish (vangl2). In zebrafish, the augmented phenotype results from enhanced defective convergent extension movements. We also show that Vangl2 localizes to the basal body and axoneme of ciliated cells, a pattern reminiscent of that of the BBS proteins. These data suggest that cilia are intrinsically involved in PCP processes.     

A short gamma-ray burst apparently associated with an elliptical galaxy at redshift z = 0.225

Gamma-ray bursts (GRBs) come in two classes: long (> 2 s), soft-spectrum bursts and short, hard events. Most progress has been made on understanding the long GRBs, which are typically observed at high redshift (z approximately 1) and found in subluminous star-forming host galaxies. They are likely to be produced in core-collapse explosions of massive stars. In contrast, no short GRB had been accurately (< 10') and rapidly (minutes) located. Here we report the detection of the X-ray afterglow from--and the localization of--the short burst GRB 050509B. Its position on the sky is near a luminous, non-star-forming elliptical galaxy at a redshift of 0.225, which is the location one would expect if the origin of this GRB is through the merger of neutron-star or black-hole binaries. The X-ray afterglow was weak and faded below the detection limit within a few hours; no optical afterglow was detected to stringent limits, explaining the past difficulty in localizing short GRBs.     

Analysis of the ionosphere wave-motion with GPS

The periodic solar activities strongly affect the ioniza-tion of the ionosphere. Sudden enhancements in soft and hard solar X-ray and EUV radiation during solar flare can produce an immediate increase in ionospheric ionization in various degrees at different heights; altogether, they are called sudden ionospheric disturbances (SIDs), which are generally recorded as sudden increase of total electron content (SITEC), the short wave fadeout (SWF), sudden frequency deviation (SFD), sudden ph…