资源描述：
《带不完美界面的双曲问题均匀化的一个注记（英文）.pdf》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、数学杂志Vol.37(2017)J.ofMath.(PRC)No.1ANOTEONHOMOGENIZATIONOFTHEHYPERBOLICPROBLEMSWITHIMPERFECTINTERFACESYANGZhan-ying1,YUYun-xia2(1.SchoolofMathematicsandStatistics,South-CentralUniversityforNationalities,Wuhan430074,China)(2.DepartmentofMathematics,XinxiangUni
2、versity,Xinxiang453000,China)Abstract:Inthispaper,weareconcernedwithaclassofhyperbolicproblemswithnon-periodiccoe±cientsintwo-componentdomains.Bytheperiodicunfoldingmethod,wederivethehomogenizationandcorrectorresults,whichgeneralizethoseachievedbyDonato,Fael
3、laandMonsurrµo.Keywords:hyperbolicproblems;periodicunfoldingmethod;homogenization;correctors2010MRSubjectClassi¯cation:35B27;35L20Documentcode:AArticleID:0255-7797(2017)01-0028-11DOI:10.13548/j.sxzz.2017.01.0021IntroductionInthispaper,westudythehomogenizatio
4、nandcorrectorresultsforthefollowinghy-perbolicproblemwith¡1<°<1,8>>u00¡div(A"ru)=fin•£(0;T);>>1"1"1"1">>00">>u2"¡div(Aru2")=f2"in•2"£(0;T);>>>>""">>>>>>u1"=0on@•£(0;T);>>>>u(x;0)=U0(x);
5、u0(x;0)=U1(x)in•;>>1"1"1"1"1">:001u2"(x;0)=U2"(x);u2"(x;0)=U2"(x)in•2";where•½Rnistheunionoftwo"-periodicsub-domains•and•,separatedbyan1"2"interface¡",suchthat•[•=•and¡"=@•.Here,•isconnectedandthenumber1"2"2"1"ofconnectedcomponentsof•isoforder"¡n.Thisproblem
6、modelsthewavepropagation2"¤Receiveddate:2015-06-05Accepteddate:2015-09-09Foundationitem:SupportedbyNationalNaturalScienceFoundationofChina(11401595).Biography:YangZhanying(1980{),female,bornatZhoukou,Henan,associateprofessor,majorinhomogenizationtheoryandits
7、application.No.1Anoteonhomogenizationofthehyperbolicproblemswithimperfectinterfaces29inamediummadeupoftwomaterialswithdi®erentcoe±cientsofpropagation.Forthephysicalmodel,wereferthereadertoCarslawandJaeger[1].LetY=[0;l1)£¢¢¢£[0;ln)bethereferencecellwithli>0,i
8、=1;¢¢¢;n:WesupposethatY1andY2aretwononemptyopendisjointsubsetsofYsuchthatY=Y1[Y2;whereY1isconnectedand¡=@Y2isLipschitzcontinuous.Throughoutthispaper,wehavethefollowingassumptions.²Forany",A"(x)=
