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DC Field | Value | Language |
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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.identifier.uri | http//localhost:8080/jspui/handle/123456789/4294 | - |
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.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 |
Appears in Collections: | 3.Faculté des Science Exactes et des Sciences de la Nature et de la Vie |
Files in This Item:
File | Description | Size | Format | |
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Tebba Zakia.pdf | 1,21 MB | Adobe PDF | View/Open |
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