Study of The Existence and Blow-up For a Class of Nonlinear Damped Wave Equation
| dc.contributor.author | Tebba, Zakia | |
| dc.date.accessioned | 2022-05-31T11:54:19Z | |
| dc.date.available | 2022-05-31T11:54:19Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Thisdissertationisdevotedtostudythewell-posednessandtheblow-upofsolutionsofsome nonlinearhyperbolicproblemsinvolvingnon-classicalnonlinearities.Weprovedundersuitable assumptionsontheexponentsofnonlinearitythelocal,globalexistenceandestablishtheresults ofblow-upofsomewaveequations. Itseemsthatthesourceterminhibitstheglobalexistence(intime)ofthesolutionofthe problemistosaythattheenergyoftheproblem(orsolution)tendstoin nityforthenormof spacewhenttendstoa nitetimeT.Obviously,thedampingtermstabilizesthesolutionofthe problem,anditisclearthatintheabsenceofsourceterms,ifthesolutionexistslocally,wecan alwaysexpanditintoaglobalsolution.Thisinteractionbetweensourceanddampingtermshas beenatargetinmanystudiesandisstills-Itisimportantalsotoknowwhichtermisdominant totheother-. Wecansaythatourresearchisanexpansionofsomeresultsdonebypreviousresearchers. Mainly,bymakingappropriatemodi cations,weextendedsomeknownresultsofsomenonlinear waveequationswithconstantandvariable-exponentnonlinearitiesstudiedbyMessaoudi,and exploitideasbyGeorgievandTodorova. | en_US |
| dc.identifier.uri | http//localhost:8080/jspui/handle/123456789/4294 | |
| dc.language.iso | en | en_US |
| dc.subject | Blow-up,globalexistence,sourceterm,waveequation,viscosity, negativeinitialenergy,variableexponents,positiveinitialenergy,existenceanduniqueness, Faedo-Galerkin | en_US |
| dc.title | Study of The Existence and Blow-up For a Class of Nonlinear Damped Wave Equation | en_US |
| dc.type | Thesis | en_US |