On the blow-up by comparison

dc.contributor.authorHusain Salem Al-Attas
dc.date1994
dc.date.accessioned2022-05-18T04:02:56Z
dc.date.available2022-05-18T04:02:56Z
dc.degree.departmentCollege of Sciences
dc.degree.grantorKing Fahad for Petrolem University
dc.description.abstractIt is known that it is difficult to estimate the blow-up time of positive solutions of nonlinear reaction-diffusion equations u(t) = …u + f(x,u,..u). The main difficulty lies in the fact that as the solution becomes unbounded, known methods such as the maximum principle method are inapplicable. To remedy this situation, we shall transform the equation so that the blow-up set is equivalent to the set of zeros of a solution of a new problem. Then by looking at the steady state, we shall be able to decide whether we have a blow-up or not for the original equation.
dc.identifier.other5334
dc.identifier.urihttps://drepo.sdl.edu.sa/handle/20.500.14154/511
dc.language.isoen
dc.publisherSaudi Digital Library
dc.thesis.levelMaster
dc.thesis.sourceKing Fahad for Petrolem University
dc.titleOn the blow-up by comparison
dc.typeThesis

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