简介：

简介：在这份报纸，我们与不可压缩的条件为3DMHD方程的答案考虑整齐标准。由使用一些古典不平等，我们分别地以速度地和磁场的一个部件在某些足够的条件下面获得三维的MHD方程的强壮的答案的整齐。

简介：NonlinearMHDKelvin-Helmholtz（K-H）instabilityinapipeistreatedwiththederiva-tiveexpansionmethodinthepresentpaperThelinearstabilityproblemwasdiscussedinthepastbyChandrasekhar（1961）andXuetal.（1981）.Nagano（1979）discussedthenonlinearMHDK-Hinstabilitywithinfinitedepth.Heusedthesingularperturbationmethodandextrapolatedtheob-tainedsecondordermodifierofamplitudevs.frequencytoseekthenonlineareffectontheinstabilitygrowthrateγ.However,inourview,suchanextrapolationisinappropriate.Becausewhentheinstabili-tysetsin,thegrowthratesofhigher,ordertermsontherighthandsideofequationswillexceedthecor-respondingsecularproducingterms,sotheexpansionwillstillbecomemeaninglessevenifthesecularproducingtermsareeliminated.Mathematicallyspeaking,it’simpossibletoderiveformula（39）whenγ02isnegativeinNagano’spaper.Moreover,evenasearlyasγ02→O+,theexpansionbe-comesinvalidbecausethe2ndordermodifierγ2（inhisformula（56））tendstoinfinity.Thisweak-nessisremovedinthispaper,andtheresultisextendedtothecaseofapipewithfinitedepth.

简介：Inthisarticle,wemainlystudythelocalequationofenergyforweaksolutionsof3DMHDequations.WedefineadissipationtermD(u,B)thatstemsfromaneventuallackofsmoothnessinthesolution,andthenobtainalocalequationofenergyforweaksolutionsof3DMHDequations.Finally,weconsiderthe2Dcaseattheendofthisarticle.

简介：

简介：

简介：Electroncyclotronresonanceheating(ECRH)isaveryreliableelectronheatingmethodinmagnetizedplasmas.Thepowerdepositionprofileislocalizedandpredictable.HighpowerECRHwasusedintheRTPtokamaktoachievestableplasmas

简介：WeprovetheexistenceofaweaksolutionforageneralizedquantumMHDequationina2-dimensionalperiodicboxforlargeinitialdata.Theexistenceofaglobalweaksolutionisestablishedthroughathree-levelapproximation,energyestimates,andweakconvergencefortheadiabaticexponentγ>1.

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：

简介：有电磁的领域的不同安排的一个MHD生成器将带在三个模式工作的生成器。quasi-one-dimensional近似被用于MHD发电机的模型分析操作模式的内部机制。为有一个一致经常的磁场的MHD发电机，特定的批评电场E<潜水艇class=“a-plus-plus”>cr被要求速度超声的入口流动进亚声的出口流动。否则，发电机比E与一个更大的电场在一个稳定的模式工作稳定的超声的流动在出口在被提供的cr，或发电机比E与一个更小的电场在一个窒息的模式工作超声的入口流动在隧道在被窒息的cr。在不同操作模式的详细流动地特征被讨论，表明有电磁的地的操作模式的关系。

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

简介：

简介：Inthispaper,wefirstshowtheglobalexistence,uniquenessandregularityofweaksolutionsforthehyperbolicmagnetohydrodynamics(MHD)equationsinR~3.ThenweestablishthatthesolutionswithinitialdatabelongingtoH~m(R~3)∩L~1(R~3)havethefollowingtimedecayrate:║▽~mu(x,t)║~2+║▽~mb(x,t)║~2+║▽~(m+1)u(x,t)║~2+║▽~(m+1)b(x,t)║~2≤c(1+t)~(-3/2-m)forlarget,wherem=0,1.

简介：

简介：Inthispaper,thebasicequationsgoverningtheflowandheattransferofanincompressibleviscousandelectricallyconductingfluidpastasemi-infiniteverticalpermeableplateintheformofpartialdifferentialequationsarereducedtoasetofnon-linearordinarydifferentialequationsbyapplyingasuitablesimilaritytransformation.Approximatesolutionsofthetransformedequationsareobtainedbyemployingtheperturbationmethodfortwocases,i.e.,smallandlargevaluesofthesuctionparameter.Fromthenumericalevaluationsofthesolution,itcanbeseenthatthevelocityfieldatanypointdecreasesasthevaluesofthemagneticandsuctionparametersincrease.Theeffectofthemagneticparameteristoincreasethethermalboundarylayer.Itisalsofoundthatthevelocityandtemperaturefieldsdecreasewiththeincreaseinthesinkparameter.

简介：Astudyispresentedformagnetohydrodynamics(MHD)flowandheattransfercharacteristicsofaviscousincompressibleelectricallyconductingmicropolarfluidinachannelwithstretchingwalls.ThemicropolarmodelintroducedbyEringenisusedtodescribetheworkingfluid.Thetransformedselfsimilarordinarydiferentialequationstogetherwiththeassociatedboundaryconditionsaresolvednumericallybyanalgorithmbasedonquasi-linearizationandmultileveldiscretization.Theefectsofsomephysicalparametersontheflowandheattransferarediscussedandpresentedthroughtablesandgraphs.Thepresentinvestigationsmaybebeneficialintheflowandthermalcontrolofpolymericprocessing.

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.

简介：Thepresentarticleinvestigatesthedualnatureofthesolutionofthemagnetohydrodynamic(MHD)stagnation-pointflowofaPrandtlfluidmodeltowardsashrinkingsurface.Theself-similarnonlinearordinarydifferentialequationsaresolvednumericallybytheshootingmethod.Itisfoundthatthedualsolutionsoftheflowexistforcertainvaluesofthevelocityratioparameter.Thespecialcaseofthefirstbranchsolutions(theclassicalNewtonianfluidmodel)iscomparedwiththepresentnumericalresultsofstretchingflow.Theresultsarefoundtobeingoodagreement.Itisalsoshownthattheboundarylayerthicknessforthesecondsolutionisthickerthanthatforthefirstsolution.

简介：