具有熱損失參量的一類kpp反應(yīng)擴(kuò)散方程組的行波解.pdf

1、華中科技大學(xué)碩士學(xué)位論文具有熱損失參量的一類kpp反應(yīng)擴(kuò)散方程組的行波解姓名：劉丹申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：楊茵20090518AbstractThedevelopmentofmodernsciencetechnologyisheavilydependentonphysicschemistrybiologyotherbranchesoftheachievementsdevelopment.Therealizationof

2、theprecisionofthesedisciplinesmustbethroughtheestablishmentofthemathematicalmodelinwhichalargenumberofissuesrelatingtopartialdifferentialequations.Partialdifferentialequationsisnotlimitedtotheclassicaldisciplinesdiscusse

3、dinPhysicschemistrybiologygeometrybuthavethewidespreadapplicationsintherealcontext.Heatconductionequationisoneofthefirstconcernedequationinthehistyofpartialdifferentialequations.Itdescribesthespreadofheatconductionotherp

4、hysicalphenomena.Proliferationisexptedfromthespreadofthephenomenonofsolutionsimpuritiesinphysicalproblems.heatconductionproblemsisexptedfromtheheatflowphenomenonfromtheinternaluneventemperatureofobjects.Amongthematypical

5、equationcalledreactiondiffusionequations.InthefieldofresearchofreactiondiffusionequationsManybiologicalchemicalissueswillshowthephenomenonofthevibrationdisturbancespreadinginlimitedspeed.thefmofu(xt)=u(x?ct)ofthetravelin

6、gwavejustreflectethenatureofthesetwo.TravelingwavesolutionshavetranslationalinvarianceWavefmspreadsinitsregularspeedalongspecificdirections.Therefetostudyexistenceoftravelingwavesolutionsofthismodelhasveryimptanttheetica

7、lvaluepracticalsignificance.ThemainresearchobjectiveofthispaperistoshowthattheexistenceofsurfacetravelingwavesolutionsoftheKPPreactiondiffusionequationswiththeheatlossparameter.Themethodisthemethodoftheupperlowersolution

8、(monotonemethod)basedonthecomparisonprincipleofheatconductionequation.Firstofallthroughconstructedavarietyofestimatestocontrolthesolutionoftheoftheequationsauxiliaryproblemsconstructedarangeoftheupperlowersolutionofauxil

9、iaryproblemstoachievetheupperlowersolutionsoftheiginalequationsresultinginthesurfacetravelingwavesolutionsoftheiginalequations.Keywds:KPPreactiondiffusionequationstravelingwavethemethodofupperlowersolutioncomparisonprinc