简介：稳定的laminar流动的问题的一个近似答案一粘滞在一张拉长的表上的不可压缩的电子上进行的液体被介绍。途径基于拉长流动问题的变量然后使用最少的广场方法最小化一个微分方程的剩余的想法。流动特征上的磁场的效果与Hartman数字的不同价值通过数字计算被表明。

简介：Anewmethodforconstructingthesymmetricformforthehyperbolicsystemsisintroduced.ThenanewsymmetricformoftheequationsofMHDtransverseflowisconstructedbyaddinganadditionalequation.Withthisnewform,weobtainthelocalexistenceofsmoothsolutionincludingthecasethattheinitialdensitymaytendtothevacuumstateatinfinity.Furthermore,theuniformlyaprioriestimationfortheclassicalsolutionsisestablishedandtheglobalsmoothsolutionsforakindofinitialdataareobtained.

简介：Inthispaper,weconsidertheblow-upofsmoothsolutionstothe3DidealMHDequations.Let(u,b)beasmoothsolutionin(0,T).Itisprovedthatthesolution(u,b)canbeextendedaftert=Tif(↓Δ×u,↓Δ×b)∈L^1(0,T;B∞，∞^0).ThisisanimprovementoftheresultgivenbyCaflisch,Klapper,andSteele.