1、江蘇大學(xué)碩士學(xué)位論文一類非線性發(fā)展方程的長(zhǎng)期動(dòng)力學(xué)行為姓名：張文彬申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：田立新20060612江蘇走學(xué)硬士掌位論文ABSTRACTInthispaperintroducingtheconceptofglobalattractortheexistenceofasymptoticsmoothingandtheglobalattractorofaweaklydampedforcedKdVequationon

2、thereallineInthethirdchapter，Theexistenceoftheglobalattractorofaweaklydamped，forcedKorteweg—deVriesequationinthephasespaceL2(R)isprovedAnoptimalasymptoticsmoothingeffectoftheequationisalsoshown，namely，thatforforcesin三2(R

3、)，theglobalattractorinthephasespace三2(R)isactuallyacompactsetinH3陋)Theenergyequationmethodisusedinconjunctionwithasuitablesplittingofthesolutions；thedispersiveregularizationpropertiesoftheequationinthecontextofBourgainsp

4、acesareextensivelyexploited。Inthefo赫chapter，theSobolevinterpolationinequalityandpriorestimateontimetareappliedtoshowtheexistenceofsolutioninunboundeddomain，MoreovegKuratowskii口一noncompactedmeasureareappliedtostudythesmoo