Engineering Core Engineering Core 63InourLaboratory,westudynonlinearpartialdifferentialequationsfromatheoreticalaspect.Amongthem,wearemainlyengagedinmathematicalanalysisfordifferentialequationsthatappearinnonlinearwavetheoryandrelatedproblems.Inparticular,weareinterestedinhowtheshapeofthewavechangeswithtime,andwedealwiththeanalysisofthelargetimebehaviorofthesolutions.Themathematicalstudyofpartialdifferentialequationsprovidesusaunifiedunderstandingthatgoesbeyondindividualphenomena.IkkiFukudaLecturerDoctor of Science (Hokkaido University, March, 2020)Research Field:Nonlinear Partial Differential Equations Themathematicalmodelofmagnetohydrodynamicsisusedtodescribethemotionofelectricallyconductingfluidsinthepresenceofamagneticfieldandhasaverywiderangeofapplicationsinastrophysics,plasmas,thermonuclearfusions,metallurgysemiconductorcrystalgrowthandrelatedfluids.Ihavebeenstudyingthemathematicalanalysis(forinstance,HarmonicAnalysis,RealAnalysisandFunctionalAnalysis)onthestabilityandinstabilityforsolutionstothemagnetohydrodynamicsystemwithHalleffectsinordertoapplytothecontrolofthenuclearfusionreactor.Ryosuke NakasatoAssistantProfessorDoctorofPhilosophy(Science),TohokuUniversity,March25,2021【Researchfields】Navier-Stokesequations,Hall-MHDequations,Quantumfluids.Partialdifferentialequationshaveappearedinvariousfieldsofphysicsandengineeringsuchasfluidmechanicsandnonlinearwavestheoryasamathematicalmodelfordescribingnaturalphenomena,andtheirapplicationrangeisverywide.Throughmathematicalanalysisonpartialdifferentialequations,wecangainnewinsightsthatcannotbeobtainedfromexperiments.OuraimofthislaboratoryistodevelopstudentswhocanplayanactiveroleinavariousfieldsInaddition,byapplyingmathematicalwealsostudyawiderangeofperipheralfieldsanddevelopabird's-eyeviewabilitytolookatengineeringfromvariousperspectives.MystudyonthemathematicalanalysisfortheMHDapproximationasymptotictheHall-MHDsystemiscloselystabilityoftorelatedfusiondevelopmentsreactorresearch.I’dliketocontinuetoinvestigatethestabilityorinstabilityforthefluidsandtocontributesuchdevelopment.WebelievethatoneoftheadvantagesofstudyingmathematicsatShinshuUniversityistheabilitytolearnpracticalmathematicswithanawarenessofitsapplicationtoengineeringandphysics.Graduateswillbehighlyincompaniesandresearchinstitutions.thinking.andtheplasmasinorderskilledtoworkinRecentlypublishedacademicpaper.Thisstudywashighlyevaluatedbymanymathematiciansataninternationalresearchconference.Thisisamathematicsseminar.IgavearesearchpresentationinEnglishwhenIstayedatZhejiangUniversityinChina.My recent paper concerning the existence of solution and assymptoticstability for the compressible Hall-MHD system with quantum effects. My presentation at International Workshop on MultiphaseFlows:Analysis, Modelling and Numerics(2022, December, WasedaUniversity). In the FutureAfter GraduationIn the FutureAfter GraduationTheory of Nonlinear Partial Differential EquationsThe Mathematical Analysis for Fluids and Plasmas
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