简介：Inthisnote,weobtainanasymptoticestimateforthetimederivativeoftheΦ-entropyintermsofthelowerboundoftheBakry–EmeryΓ2curvature.InthecasesofhyperbolicspaceandtheHeisenberggroup(moregenerally,thenilpotentLiegroupofranktwo),weshowthatthetimederivativeoftheΦ-entropyisnon-increasingandconcaveintimet,alsowegetasharpasymptoticboundforthetimederivativeoftheentropyinthesecases.

简介：InthispaperweconsidertheclassofBazilevicfunctionsforbi-univalentfunctions.Forthiswewillestimatethecoefficientsa2anda3usingCaratheodoryfunctionsandthemethodofdifferentialsubordination.

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简介：Anexperimentaladvancedsuperconductingtokamak(EAST)operationwindowwiththelowerhybridcurrentdrive(LHCD)inH-modeisestimatedbyusingacore-SOL-divertor(C-S-D)modelvalidatedbythepresentEASTdivertorexperiments.Theoperationwindowconsistsoffourlimitsincludingtwousuallimits,oneofwhichisthemaximumallowableheatloadontothedivertorplate,andtwoadditionallimitsassociatedwiththeLHCD.ThepredictiveEASToperationwindowisnotqualifiedtofulfillitsmissionforhighinputpower.Toextendtheoperationwindow,gaspuffingandimpurityseedingarepresentedastwoeffectivemethods.Inaddition,theeffectoftheLHCDcurrentontheoperationwindowisalsodiscussed.OurnumericalanalysisresultsprovideareferenceforthesafeoperationofEASTexperimentswithLHCDinfuture.

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简介：这份报纸在所有空间尺寸涉及全球存在和概括Benjamin-Bona-Mahony方程的答案的pointwise估计。由使用精力方法，Fourier分析和伪differential操作符，全球存在和pointwise集中，解决方案的率被获得。腐烂率与热方程的一样，一个人能看到答案宣传典型的线。

简介：FortheMonge-Amp`ereequationdetD2u=1,theauthorsfindnewauxiliarycurvaturefunctionswhichattaintheirrespectivemaximaontheboundary.Moreover,theupperboundedestimatesfortheGausscurvatureandthemeancurvatureofthelevelsetsforthesolutiontothisequationareobtained.