资源描述:
《volpert a.i., volpert v.a., volpert v.a. traveling wave solutions of parabolic systems (corrected ed., ams, 2000)(453s)》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、TranslationsofMATHEMATICALMONOGRAPHSVolume140TravelingWaveSolutionsofParabolicSystemsAizikI.VolpertVitalyA.VolpertVladimirA.VolpertATHEMATICMALNTRHTOSMHEISITWSAOICCIAmericanMathematicalSocietyREEAGEWMETYMProvidence,RhodeIslandAF8O8UNDED18A.I.Volpert,Vit.A.Volpert,Vl.A.VolpertBEGUW
2、IEVOLNY,OPISYVAEMYEPARABOLIQESKIMISISTEMAMITranslatedbyJamesF.HeydafromanoriginalRussianmanuscript2000MathematicsSubjectClassification.Primary35K55,80A30;Secondary92E10,80A25.Abstract.Travelingwavesolutionsofparabolicsystemsdescribeawideclassofphenomenaincombustionphysics,chemicalkine
3、tics,biology,andothernaturalsciences.Thebookisdevotedtothegeneralmathematicaltheoryofsuchsolutions.Theauthorsdescribeindetailsuchquestionsasexistenceandstabilityofsolutions,propertiesofthespectrum,bifurcationsofsolutions,approachofsolutionsoftheCauchyproblemtowavesandsystemsofwaves.T
4、hefinalpartofthebookisdevotedtoapplicationstocombustiontheoryandchemicalkinetics.Thebookcanbeusedbygraduatestudentsandresearchersspecializinginnonlineardifferentialequations,aswellasbyspecialistsinotherareas(engineering,chemicalphysics,biology),wherethetheoryofwavesolutionsofparabolics
5、ystemscanbeapplied.LibraryofCongressCataloging-in-PublicationDataVolpert,A.I.(A˘ızikIsaakovich)[Begushchievolny,opisyvaemyeparabolicheskimisistemami.English]Travelingwavesolutionsofparabolicsystems/AizikI.Volpert,VitalyA.Volpert,VladimirA.Volpert.p.cm.—(Translationsofmathematicalmon
6、ographs,ISSN0065-9282;v.140)Includesbibliographicalreferences.ISBN0-8218-4609-4(acid-free)1.Differentialequations,Parabolic.2.Differentialequations,Nonlinear.3.Chemicalkinetics—Mathematicalmodels.I.Volpert,VitalyA.,1958–.II.Volpert,VladimirA.,1954–.III.Title.IV.Series.QA377.V6413199451
7、5.353—dc2094-16518c1994bytheAmericanMathematicalSociety.Allrightsreserved.TheAmericanMathematicalSocietyretainsallrightsexceptthosegrantedtotheUnitedStatesGovernment.PrintedintheUnitedStatesofAmerica.Reprintedwithcorrections,2000∞Thepaperusedinthisbookisacid-freeandfallswithintheg
8、uidelinesest