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Theoretical and Numerical Aspects for Global Existence and Blow Up for the Solutions to Boussinesq Paradigm Equation
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2011
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Numerical AnalysisBoussinesq Paradigm EquationInitial EnergyPhysicsHyperbolic Conservation LawGlobal ExistenceParabolic EquationNonlinear EquationNonlinear Hyperbolic ProblemIntegrable SystemEvolution EquationBlow Up
In this paper we prove that the global existence and the blow up of the weak solutions to Boussinesq Paradigm Equation (BPE) depend not only on the initial energy but also on the profiles of the initial data.