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http//localhost:8080/jspui/handle/123456789/4294| Title: | Study of The Existence and Blow-up For a Class of Nonlinear Damped Wave Equation |
| Authors: | Tebba, Zakia |
| Keywords: | Blow-up,globalexistence,sourceterm,waveequation,viscosity, negativeinitialenergy,variableexponents,positiveinitialenergy,existenceanduniqueness, Faedo-Galerkin |
| Issue Date: | 2022 |
| 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. |
| URI: | http//localhost:8080/jspui/handle/123456789/4294 |
| 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 | |
|---|---|---|---|---|
| Tebba Zakia.pdf | 1,21 MB | Adobe PDF | View/Open |
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